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The conversion of cyclobutane (C,H3) to ethylene (CH4) is a first-order reaction. This means that the concentration of cyclobutane at time t is given by In C = In Co – kt, where C is the concentration at time t, Co is the initial concentration, t is the time since the reaction started, and k is the rate constant. Assume that Co = 0.2 mol/L with negligible uncertainty. After 300 seconds at a constant temperature, the concentration is measured to be C = 0.174 + 0.005 mol/L. Assume that time can be measured with negligible uncertainty. Estimate the rate constant k, and find the uncertainty in the estimate. The units of k will be s-1. a. b. Find the relative uncertainty in k. The half-life t12 of the reaction is the time it takes for the concentration to be reduced to one-half its initial value. The half-life is related to the rate constant by t12 = (In 2)/k. C. Using the result found in part (a), find the uncertainty in the half-life. d. Find the relative uncertainty in the half-life.

The conversion of cyclobutane (C,H3) to ethylene (CH4) is a first-order reaction. This means that the concentration of cyclobutane at time t is given by In C = In Co – kt, where C is the concentration at time t, Co is the initial concentration, t is the time since the reaction started, and k is the rate constant. Assume that Co = 0.2 mol/L with negligible uncertainty. After 300 seconds at a constant temperature, the concentration is measured to be C = 0.174 + 0.005 mol/L. Assume that time can be measured with negligible uncertainty. Estimate the rate constant k, and find the uncertainty in the estimate. The units of k will be s-1. a. b. Find the relative uncertainty in k. The half-life t12 of the reaction is the time it takes for the concentration to be reduced to one-half its initial value. The half-life is related to the rate constant by t12 = (In 2)/k. C. Using the result found in part (a), find the uncertainty in the half-life. d. Find the relative uncertainty in the half-life.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The conversion of cyclobutane (C,H3) to ethylene (CH4) is a first-order reaction. This means that the concentration of cyclobutane at time t is given by In C = In Co – kt, where C is the concentration at time t, Co is the initial concentration, t is the time since the reaction started, and k is the rate constant. Assume that Co = 0.2 mol/L with negligible uncertainty. After 300 seconds at a constant temperature, the concentration is measured to be C = 0.174 + 0.005 mol/L. Assume that time can be measured with negligible uncertainty. Estimate the rate constant k, and find the uncertainty in the estimate. The units of k will be s-1. a. b. Find the relative uncertainty in k. The half-life t12 of the reaction is the time it takes for the concentration to be reduced to one-half its initial value. The half-life is related to the rate constant by t12 = (In 2)/k. C. Using the result found in part (a), find the uncertainty in the half-life. d. Find the relative uncertainty in the half-life.
Transcribed Image Text:The conversion of cyclobutane (C,H3) to ethylene (CH4) is a first-order reaction. This means that the concentration of cyclobutane at time t is given by In C = In Co – kt, where C is the concentration at time t, Co is the initial concentration, t is the time since the reaction started, and k is the rate constant. Assume that Co = 0.2 mol/L with negligible uncertainty. After 300 seconds at a constant temperature, the concentration is measured to be C = 0.174 + 0.005 mol/L. Assume that time can be measured with negligible uncertainty. Estimate the rate constant k, and find the uncertainty in the estimate. The units of k will be s-1. a. b. Find the relative uncertainty in k. The half-life t12 of the reaction is the time it takes for the concentration to be reduced to one-half its initial value. The half-life is related to the rate constant by t12 = (In 2)/k. C. Using the result found in part (a), find the uncertainty in the half-life. d. Find the relative uncertainty in the half-life.
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