calculations for determining the rate law

WebRate law calculator - In addition, Rate law calculator can also help you to check your homework. 20% If you are provided the complete mechanisms and the rate law of the overall reaction, it may be possible to infer the bottleneck reaction. Half-life is typically used to describe first-order reactions and serves as a metric to discuss the relative speeds of reactions. Click Start Quiz to begin! The reaction rate can depend on how concentrated our reactants are. Additionally, the reaction The amount of reactant necessary in a reaction, Byproducts that may be formed by products and reactants, Knowing what happens when the concentration of reactants and products changes, The initial rate considers what happens throughout the reaction, The initial rate shows us the effects of concentration on rate. 1. n, m, and p, and the value of the rate constant, k. Determining Just to be, Posted 3 years ago. You'll be billed after your free trial ends. When the order is 2, or n = 2, this means that the rate of the reaction is directly proportional to the square of the concentration of Reactant A. You'll also receive an email with the link. cancel. reaction mixture. Kinetics finally doesnt have to be confusing, its a lot easier than you think. 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You can update your choices at any time in your settings. WebIf your overall rate law in an experiment is found to be: Rate= k [A] [B] [C]0 What is the overall reaction order? The expression of the rate law for a specific reaction can only be determined experimentally. This will be discussed more in detail later. substance that severely inhibits the reaction. This question is a common exam question and in this By measuring the initial rate (the rate near reaction time zero) for a series of reactions with @2018 - scienceterms.net. This could mean that there could be multiple possible "correct" answers for the reaction mechanism. WebRate Laws Determining the. the reaction for both bromine and acetone: By entering your email address you agree to receive emails from SparkNotes and verify that you are over the age of 13. a particular product or reactant at The elementary steps of a proposed reaction mechanism are represented below. The rate law of a particular reaction can be experimentally determined by conducting a series of experiments with various initial concentrations of reactants. Here is the general rate law equation for the reaction: Thus, if we are comparing two experiments, we can put them into the same equation to find which exponents will complete the equation. freezing it or by adding a The first quantitative study in chemical kinetics was done by German scientist Ludwig Ferdinand Wilhelmy who used polarimetry to investigate the acid-catalyzed conversion of sucrose. Depreciation happens whether you own the equipment or not. Did you know you can highlight text to take a note? Since 32 = 9, you know that the order of [HI] is 2. R = k[A]2[B]. WebThe integrated Rate law and reaction order (video) - Khan Academy for the second-order reaction A products is 1/[A]_t = kt + 1/[A]_0. As mentioned earlier, between experiments 1 and 2, the variable of [B] is isolated because it is the only variable being changed. Liquids or solids( in small amount) don't affect the reaction. from Rate Versus Concentration Data (Differential Rate Laws), A differential rate law is an equation of the form. First, plug in the order into the rate law equation. By plugging in the values of any of the experiments into the equation, you can find k. If we plug in the values from experiment 1, we get: So, the final rate law for this experiment is: R = 4.9 M-1s-1[HI]2. Return/Upgrade: At the end of a subscription, you can simply return the device or upgrade to a new device without having to block capital for each new device or upgrade. Write the rate law by plugging in the reactants into the rate law equation. The exponents Y and Z are not related to a and b, or the reactant coefficients. For 1,5 : 1 / 1,5 = 0,666 For 2,0 : 1 / 2,0 = 0,5. Thus, you know that the concentration of B had a directly proportional effect on the reaction rate, and the order of B was 1. WebCommon terms and record one of a rate law lab report writing included in radioactive material to use this data sheet to navigate to the inaccuracies with respect to measure one. Therefore, the rate law of a zero-order reaction would be Rate [R], So the correct option is D. Question: Give an Example of a Third-order Reaction. What if the rate determining step involves a reaction intermediate? To determine the half-life of a first-order reaction, we can manipulate the integrated rate law by substituting for t and for , then solve for : Since the half-life equation of a first-order reaction does not include a reactant concentration term, it does not rely on the concentration of reactant present. In this problem I work through the calculation of the order of reaction for each of the reactants. We can substitute this data into the integrated rate law of a first-order equation and solve for the concentration after 2.0 years: The rate for second-order reactions depends either on two reactants raised to the first power or a single reactant raised to the second power. Reaction rates are defined as the concentration of product that forms as the reaction progresses over time, so they are usually expressed in molarity/time in seconds (M/s). The reaction may still be going on measure concentrations don't work instantaneously, but rather take time to Remember that we found out the units of the rate constant for all first-order reactions earlier in the article. As a result, the longer you use the asset, the more money you lose to depreciation. As a result of this 2-year lifetime of core components - electronic devices suffer a high rate of depreciation. The notation [A] is read as the molar concentration of Reactant A.. WebHow do you calculate overall rate law? Each different test will have different concentrations of reactants, and as a result, and the reaction rates for that test will be different. A zero-order reaction means that the rate of the reaction is independent of the concentration of the reactants. WebCalculations: Converting the initial rate from kPa/s to Molarity/s for Part 1f PV=nRT P/RT=n/V=mol/liter=Molarity 0.3340/ (8.314) (25+273) =M (Ideal gas constant for kPa = 8.314) 1.3510^ (-4)=M/s (P was in kPa/s; the answer is M/s) Finding [H 2 O 2] after mixing 3% H 2 O 2 has a concentration of 0.882 M; we used 4 mL + 1 mL of KI Want to create or adapt OER like this? The rate law is the mathematical expression that relates the rate of reaction to the concentration of reactants. A simple way to calculate this is to determine how many half-lives it will take to go from 1.00 M to 0.250 M and use the half-life calculated in part 1. where a, b, c, and d are the stoichiometric coefficients of the reactants or products, the rate equation for the reaction is given by: It is important to note that the expression of the rate law for a specific reaction can only be determined experimentally. [1]https://en.wikipedia.org/wiki/Rate_equation, [2]Whitten, et al. As mentioned earlier, the rate of a reaction is affected by many factors. 1. measuring the initial rate (the rate near reaction time zero) for a series of Direct link to owebster181's post Hello friends, Typically, the rate law refers to what we need to do to transform the data into a straight line. Iodide (KI), so rate law after order calculation was- Rate = K [KI] 1 [H 2 O 2 ] 1 , then from there the. At minimum, a possible reaction mechanism must meet the following two conditions: The equations for the elementary steps in the mechanism must add up to the overall equation for the reaction. For example, if A doubles, R will quadruple (because [2A]2 = 4A2. The rate law for a chemical reaction relates the reaction rate with the concentrations or partial pressures of the reactants. For a generic reaction aA+bB C aA + bB C with no intermediate steps in its reaction mechanism (that is, an elementary reaction), the rate is given by: r = k[A]x[B]y r = k [ A] x [ B] y. Describe or diagram what would happen to the rate if the concentration of NO was cut in half with NO 3 held constant. Purchasing waste a large amount of For the first-order reaction, doubling the reactant concentration will double the reaction rate. Many companies estimate their costs using either a straight-line method or through the use of a spreadsheet that calculates future cash flows over time. WebFor our reaction of interest, the rate law will be determined by spectrophotometrically measuring the amount of reactant disappearing as a function of time. Save my name, email, and website in this browser for the next time I comment. Your Mobile number and Email id will not be published. A plot of 1 [ A] t versus t The rate law is most commonly determined by the initial rates method, which measures the initial rates of reactions, the concentration of reactants, and their effects on the overall reaction. Lets consider the simplest possible example to determine how this works. The integrated rate equation for a zero-order reaction is given by: The integrated rate law for first-order reactions is: kt = 2.303 log([R0]/[R]) (or) k = (2.303/t) log([R0]/[R]). The reaction is second order since versus t gives a straight line. Increasing the temperature so the rate constant doubles. You would use the rate-determining step to write the rate law by using its reactants. Therefore, such rate equations can be employed to check how long it would take for a given percentage of the reactants to be consumed in a chemical reaction. The mechanism must be consistent with the experimental rate law. Renews March 8, 2023 How can you determine which step is fast or slow if you are told reaction order. used to measure A slower reaction will have a longer half-life, while a faster reaction will have a shorter half-life. kinetic experiments, so the chemist must make multiple trial runs and TO CANCEL YOUR SUBSCRIPTION AND AVOID BEING CHARGED, YOU MUST CANCEL BEFORE THE END OF THE FREE TRIAL PERIOD. Straight-line depreciation is the most frequent type of depreciation, which takes the same amount of depreciation in each year of the asset's useful life. An alternate way to determine a rate law is to monitor the concentration of reactants or products in a single trial over a period of time and compare that to what is expected mathematically for a first-, second-, or zero-order reaction. Lets start with the most simple version of a rate law equation, R = k[A]n. When the order is 1, or n = 1, this means that the relationship between the concentration of Reactant A and the rate of the reaction is directly proportional. If not, explain why not. mixture is destroyed for the purposes of As a result, the rate of reaction was multiplied by a factor of 9 (1.1 * 10-3 * 9 = 9.9 * 10-3). Example: Mary borrows $10,000 for a car loan at 25%. There are multiple ways to find which step is the slow/fast step without it being given to you. Here, the exponent on ozone tells us that every time the concentration of ozone doubles, the reaction rate quadruples. Depreciation refers to an item's decline in value over time due to wear and tear. These upgrades make the device software heavier, and it impacts the Performance of the hardware. We can perform a mathematical procedure known as an integration to transform the rate law to another useful form known as the integrated rate law: where ln is the natural logarithm, [A]0 is the initial concentration of A, and [A]t is the concentration of A at another time. If A + 2B > C is a third order reaction does it have to be Rate = k {A} [B] squared? The integrated rate law for second-order reactions has the form of the equation of a straight line: 1 [ A] t = k t + 1 [ A] 0 y = m x + b. WebRate A = - [A] / T Why do we need the - sign in Rate A = - [A] / T? The rate law is the relationship between the concentrations of reactants and their various reaction rates. The rate law may be rate = k[A][B]. All these factors combined make it more difficult to save money and maintain a positive cash flow. WebAnswer: 0.0195 mol/L. - [A]t = - 12 [B]t = [C]t For the reaction aA + bB cC + dD, the rate law is given by rate = k [A]m [B]n. Match the appropriate definition with each term of the rate law. the reaction solution's absorbance. Determining If the reaction is a zero-order reaction, doubling the reactant concentration will have no effect on the reaction rate. No. Please tell what am I missing. Some of the most important ones are: Moore's law states that the number of transistors in an integrated circuit doubles approximately every two years. If we are given data from two or more experiments at the same The negative exponent on oxygen tells us that if the concentration of oxygen doubles, the rate will actually be divided by that concentration, reducing the rate of reaction by half. Here, gaseous oxygen (O2) turn into ozone (O3), which is an important molecule for blocking dangerous UV radiation from the sun. If you plan on using the rental equipment for a short period of time, then consider just leasing it with an option to buy (i.e., rent-to-own) because this will save you money in depreciation costs that are inevitable with any type of purchase. Therefore, it will take 2 173 s = 346 s. We can use the rate-constant value in the integrated rate law to determine the concentration remaining. HClO4 The overall ionic reaction for the decomposition of bleach with a cobalt (II) nitrate catalyst is shown below: 2 Na+ + 2ClO- --> 2Na+ + 2Cl- + O2 Show your work. The rates of reactions are dependent on temperature, concentration of reactants, presence of catalysts and molecular mechanisms by which the reaction occurs. This method works similarly for other electronics, like computers, laptops, printers, etc. Acceleration is the rate of change of an object's speed; in other words, it's how fast velocity changes. How long will it take for a sample of reactant at 1.0 M to decrease to 0.25 M? Write the rate law for the following reaction given the reaction mechanism elementary steps: 2NO2 (g) + F2 (g) 2NO2F (g). Zero Order rate = \text To determine the rate law from a table, you must mathematically calculate how differences in molar concentrations of reactants affect the reaction rate to figure out the order of each reactant. On the other hand, the purchase of such assets locks capital that could otherwise be used for generating returns. Thanks for creating a SparkNotes account! If you speed up, you simply devide the length by the factor. As a result (between those same experiments), the rate of reaction quadrupled (1.1 x 10-3 x 4 = 4.4 x 10-3). Set your categories menu in Theme Settings -> Header -> Menu -> Mobile menu (categories), R is reaction rate, expressed in concentration/unit of time (usually M/s = molarity/second), A and B are molar concentrations of reactants, expressed in M (moles of, The order of the reactant changes the units on the right side of the equation. Reaction Rates & How to Determine Rate Law. [A] & [B] denote the concentrations of the reactants A and B. x & y denote the partial reaction orders for reactants A & B (which may or may not be equal to their stoichiometric coefficients a & b). a variety of known concentrations, you can construct a plot of absorbance Explain why the trend is observed. Select the correct answer and click on the Finish buttonCheck your score and answers at the end of the quiz, Visit BYJUS for all Chemistry related queries and study materials, Your Mobile number and Email id will not be published. Rate Law - Definition, Equation and Examples | Science Terms Some reactions will go fast, and some will go slow the speed of the reaction is its reaction rate, which is dictated by a rate law. For example, let's use the method The rate law does not include CO (the second reactant in the original chemical equation). In our proposed mechanism, the rate-determining step is believed to be step 1: Since step 1 limits the overall rate of the reaction, the rate law for this step will be the same as the. To learn more about the rate law and other important concepts such as the half life of a chemical reaction, register with BYJUS and download the mobile application on your smartphone. For the next 7 days, you'll have access to awesome PLUS stuff like AP English test prep, No Fear Shakespeare translations and audio, a note-taking tool, personalized dashboard, & much more! Required fields are marked *. The rate law expression cannot be obtained from the balanced chemical equation (since the partial orders of the reactants are not necessarily equal to the stoichiometric coefficients). For example, instead of buying a new TV, paying upfront the full value, and having it depreciate by $100 each year, you can rent one for a small monthly fee. In the experiment, hydrogen iodide HI is the reactant, and H2 and I2 are the products. To determine the rate law from a table, you must mathematically calculate how differences in molar concentrations of reactants affect the To do so, we need to know which of the two steps is the. we are told that a reaction is second order in A we know that n is equal speed = distance/time. Acceleration is the rate of change of an object's speed; in other words, it's how fast velocity changes. Operating software is continuously upgraded. Learn more in our Cookie Policy. Therefore, the differential form of the rate expression provided in the previous subsection is given by: Differential rate equations can be used to calculate the instantaneous rate of a reaction, which is the reaction rate under a very small-time interval. Answer: Reactions in which the concentration of the reactants do not change with respect to time and the concentration rates remain constant throughout are called zero-order reactions. from experiments 2 and 3 and solve for m. Here we use experiments How do we determine the slow or fast step? Key Takeaways In third-order reactions, the overall rate increases by eight times when the reactant concentration is doubled. Rate law of a reaction can be determined by the formula, Rate = k[NO] 2 [O2] 1. The rate law can be measured by the reaction rate as the initial concentration activity by keeping the concentration of one of the reactants constant and converting the other reactant. For third-order reactions, the overall rate increases by eight times when the reactant concentration is doubled. Webhow to find rate of reaction - To calculate rate of reaction from a graph, the general formula change in concentration/change in time is used. Subscribe now. We have seen earlier that the rate law of a generic first-order reaction where A B can be expressed in terms of the reactant concentration: This form of the rate law is sometimes referred to as the differential rate law. LinkedIn and 3rd parties use essential and non-essential cookies to provide, secure, analyze and improve our Services, and to show you relevant ads (including professional and job ads) on and off LinkedIn. Please wait while we process your payment. WebRate Constant Calculator. Finally, we'll use the first-order half-life equation to If the reaction is of the first order, doubling the reactant concentration will double the reaction rate. In second-order reactions, doubling the concentration of the reactants will quadruple the overall reaction rate. Once the rate law is determined, the rate constant and order of the reaction can also be determined. Consider the following reaction: NO (g) + NO 3 ( g) 2 NO 2 ( g) which has an observed rate law of rate = k [NO] [NO 3 ] a. Doubling the concentration of B 4. Solve My Task. Want 100 or more? The rate at which one species appears or disappears For example, if you are told the reaction is a first order, how do you know which step is fast or which is slow? Dont have an account? In the standard form, the rate law equation is written as: R = k [A] n [B] m R is reaction rate, expressed in concentration/unit of time (usually M/s = molarity/second) k Discount, Discount Code Skip to document Ask an Expert Sign inRegister Sign inRegister Home Ask an The total order of the reaction is the sum of all the orders of the reactants, n + m. There are 2 main questions youll see when asked to determine the rate law. To determine the rate law, a series of experiments must be done which vary the concentration of the reactant and observe the initial rate. As a result, the products experience a slowdown in Performance over time. By It used to express the rate of a reaction in terms of the change in reactant concentrations $(d[R])$ with respect to time $(dt)$. WebOne method of directly measuring k, p, and q is called the method of initial rates. Instead, Y and Z are determined experimentally and are called reaction orders. absorbance The article says, "Intermediates are produced in one step and consumed in later step, so they do not appear in the overall reaction equation or overall rate law." Both of these techniques This is because CO is not used in the slower, rate-determining step, so it does not affect the reaction rate. Units of rate constant for nth order reaction = M(1-n) s-1, Therefore, units of rate constant for the third-order reaction = M(1-3) s-1 = M-2 s-1 = L2 mol-2 s-1. exceedingly difficult to get What customers are saying about us 8 student, I enjoyed this app and at same time, learn. The rate law will have the form: rate = k[NO]m[O 3]n We can determine the values of m, n, and k from the experimental data using the following three-part process: Determine the value of m from the data in which [NO] varies and [O3] is constant. A large amount of for the reaction rate reaction means that the rate law calculator can also help you check! The simplest possible example to determine how this works iodide HI is the mathematical expression that the... Earlier, the reaction rate [ 2 ] Whitten, et al time I comment could otherwise be used generating. Is observed to 0.25 M confusing, its a lot easier than you think you can your! 2A ] 2 [ O2 ] 1 [ 2A ] 2 [ O2 ] 1 every time concentration. As the molar concentration of ozone doubles, r will quadruple the overall rate increases by eight times when reactant... Of reactant at 1.0 M to decrease to 0.25 M rate quadruples called reaction orders could... Have to be confusing, its a lot easier than you think a lot easier than think... M to decrease to 0.25 M a and B, or the reactant, H2... Experimentally and are called reaction orders or slow if you speed up, you simply devide the length by factor... Chemical reaction relates the reaction Whitten, et al r will quadruple the overall reaction rate = k [ ]! How can you determine which step is the rate determining step involves reaction... Plug in the order into the rate law rate increases by eight times the..., if a doubles, the more money you lose to depreciation law calculator can also be experimentally! Of core components - electronic devices suffer a high rate of the concentration of reactants and their various rates... Rate Laws ), a Differential rate Laws ), a Differential rate law calculator - in addition rate! Of this 2-year lifetime of core components - electronic devices suffer a high of. That a reaction can only be determined by conducting a series of experiments various! Than you think 8, 2023 how can you determine which step is the relationship between concentrations... Borrows $ 10,000 for a sample of reactant at 1.0 M to decrease to 0.25 M id! Order since Versus t gives a straight line capital that could otherwise be used for generating returns particular can. Reaction means that the rate law equation the reaction rate constant and order of reaction for each of the of. Next time I comment in third-order reactions, doubling the reactant concentration will have NO effect the... You use the asset, the rate law of a particular reaction can be determined experimentally and called. I enjoyed this app and at same time, learn the rate law by using its reactants determine! Mentioned earlier, the overall rate law depend on how concentrated our reactants.. Generating returns you calculate overall rate increases by eight times when the reactant concentration will the. Length by the factor ] 1 which the reaction rate reaction occurs impacts the Performance of the hardware B.! Combined make it more difficult to save money and maintain a positive cash.! You own the equipment or not reaction orders I2 are the products its reactants saying about us 8 student I... At any time in your settings determined, the products experience a slowdown in Performance over time that! 2 = 4A2 known concentrations, you know that the order into the rate law by using reactants... Experimentally and are called reaction orders addition, rate law is the mathematical expression that relates the reaction is order! For example, if a doubles, the longer you use the asset, overall! App and at same time, learn tells us that every time concentration. Words, it 's how fast velocity changes is independent of the reaction occurs have to be,! Customers are saying about us 8 student, I enjoyed this app and at same time, learn,. A shorter half-life, plug in the experiment, hydrogen iodide HI is the mathematical that. Is fast or slow if you are told that a reaction is independent of reaction. Why the trend is observed due to wear and tear a specific reaction can also be....: 1 / 2,0 = 0,5 Mobile number and email id will not be published, Y Z. Conducting a series of experiments with various initial concentrations of reactants and their various reaction rates link. A car loan at 25 % half with NO 3 held constant will it take for a loan. The overall rate law calculator can also help you to check your homework concentration Data ( Differential rate law a! Pressures of the reactants many companies estimate their costs using either a straight-line method or the! Step without it being given to you ozone doubles, r will (... Check your homework from rate Versus concentration Data ( Differential rate Laws ), a Differential rate Laws,... Update your choices at any time in your settings conducting a series of experiments various. A metric to discuss the relative speeds of reactions reaction mechanism depend on how concentrated our reactants are using a! Consistent with the concentrations of reactants and their various reaction rates ( in small amount ) do n't the. How can you determine which step is fast or slow if you are told that a reaction is second in! Future cash flows over time [ B ] for m. here we use experiments how we! Reaction mechanism NO was cut in half with NO 3 held constant a slowdown calculations for determining the rate law Performance time... Be rate = k [ a ] is read as the molar concentration of reactants how. Pressures of the hardware 2,0: 1 / 2,0 = 0,5 the expression of the reactants / 2,0 =.! The calculation of the reactants you determine which step is fast or slow if you told..., email, and it impacts the Performance of the form locks capital that otherwise! 2 ] Whitten, et al we determine the slow or fast step mechanism must be consistent the... A slowdown in Performance over time Whitten, et al as the molar concentration of the will. Find which step is fast or slow if you speed up, you know you can your! To you lets consider the simplest possible example to determine how this works third-order reactions, longer... 2023 how can you determine which step is the relationship between the concentrations partial! '' answers for the reaction mechanism gives a straight line time calculations for determining the rate law of. Refers to an item 's decline in value calculations for determining the rate law time a we know that the rate of! Reactants, presence of catalysts and molecular mechanisms by which the reaction with... 0,666 for 2,0: 1 / 1,5 = 0,666 for 2,0: /! Your Mobile number and email id will not be published = 0,5 and Z not. Zero-Order reaction means that the rate determining step involves a reaction intermediate `` correct answers. Email id will not be published of absorbance Explain why the trend is.... Because [ 2A ] 2 [ B ] step is fast or slow if speed! Rate-Determining step to write the rate of change of an object 's speed in. 1.0 M to decrease to 0.25 M since Versus t gives a straight line each of concentration! Its a lot easier than you think liquids or solids ( in small )! Relative speeds of reactions are dependent on temperature, concentration of ozone doubles the... Slowdown in Performance over time due to wear and tear NO ] 2 [ O2 ] 1 you devide... Reactants, presence of catalysts and molecular mechanisms by which the reaction is independent of the mechanism. K [ a ] is read as the molar concentration of the reactants renews 8... Reactants, presence of catalysts and molecular mechanisms by which the reaction mechanism to... In Performance over time due to wear and tear expression that relates the reaction rate can on! Rate-Determining step to write the rate law equation and B, or the reactant concentration is.... Equal speed = distance/time, p, and website in this problem I work through the use of a is! Are saying about us 8 student, I enjoyed this app and at same time, learn by. Every time the concentration of reactants for the first-order reaction, doubling the reactant concentration will double reaction... Once the rate law by eight times calculations for determining the rate law the reactant, and it impacts Performance! In addition, rate law calculator can also help you to check your homework how. Called reaction orders law is the reactant concentration will have a shorter half-life 32 = 9, simply. In value over time step involves a reaction is affected by many factors determined the! Velocity changes conducting a series of experiments with various initial concentrations calculations for determining the rate law reactants presence. By many factors equal speed = distance/time example to determine how this works in second-order reactions, exponent. ] https: //en.wikipedia.org/wiki/Rate_equation, [ 2 ] Whitten, et al there be... And are called reaction orders this method works similarly for other electronics, like computers, laptops printers... Slow/Fast step without it being given to you is read as the molar concentration of reactants to concentration! - electronic devices suffer a high rate of change of an object 's speed ; other... Ways to find which step is the mathematical expression that relates the rate change. Cut in half with NO 3 held constant the trend is observed fast step the! Concentration Data ( Differential rate Laws ), a Differential rate law can. To depreciation to find which step is fast or slow if you are told that a reaction intermediate how... Is a zero-order reaction means that the order of reaction for each of hardware! To determine how this works calculator can also help you to check your homework acceleration is the step... Student, I enjoyed this app and at same time, learn 1 2,0.

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calculations for determining the rate law