### Reaction Kinetics ExampleConsider this reaction:\[ 2Cl_2O_5 (g) \rightarrow 2Cl_2 (g) + 5O_2 (g) \]At a certain temperature, it obeys this rate law:\[ \text{rate} = \left(0.00575 \text{ M}^{-1} \cdot \text{s}^{-1} \right) [Cl_2O_5]^2 \]**Problem:**Suppose a vessel contains \( Cl_2O_5 \) at a concentration of \( 0.900\,M \). Calculate the concentration of \( Cl_2O_5 \) in the vessel 580 seconds later. You may assume no other reaction is important.*Round your answer to 2 significant digits.***Answer Box:**\[ \boxed{\phantom{M}} M \]You should use the integrated rate law for a second-order reaction to find the concentration after a given time. The general form of the integrated rate law for a second-order reaction is:\[ \frac{1}{[A]_t} = \frac{1}{[A]_0} + kt \]where:- \( [A]_t \) is the concentration of \( A \) at time \( t \)- \( [A]_0 \) is the initial concentration of \( A \)- \( k \) is the rate constant- \( t \) is the timeGiven:- \( [Cl_2O_5]_0 = 0.900 \, M \)- \( k = 0.00575 \, \text{M}^{-1} \cdot \text{s}^{-1} \)- \( t = 580 \, \text{s} \)Calculation:\[ \frac{1}{[Cl_2O_5]_t} = \frac{1}{0.900 \, M} + (0.00575 \, \text{M}^{-1} \cdot \text{s}^{-1})(580 \, \text{s}) \]\[ \frac{1}{[Cl_2O_5]_t} = 1.111 + 3.335 = 4.446 \]\[ [Cl_2O_5]_t = \frac{1}{4.446} \

Rate law expressions are the equations that define the relationship of the rate of the reaction with…

Consider this reaction: 2C1,0; (g) → 2C1, (g) +50, (3) At a certain temperature it obeys this rate law. rate = (0.00575 M-!.5)[c1,0, Suppose a vessel contains Cl,O; at a concentration of 0.900M. Calculate the concentration of Cl,0, in the vessel 580. seconds later. You may assume no other reaction is important. Round your answer to 2 significant digits.

Consider this reaction: 2C1,0; (g) → 2C1, (g) +50, (3) At a certain temperature it obeys this rate law. rate = (0.00575 M-!.5)[c1,0, Suppose a vessel contains Cl,O; at a concentration of 0.900M. Calculate the concentration of Cl,0, in the vessel 580. seconds later. You may assume no other reaction is important. Round your answer to 2 significant digits.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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