A reaction is 2nd order with respect to [ Reactant A]. If the rate constant from the equation of the trendline in Excel is 3.22 × 10 3 (units deliberately omitted), and the initial concentration is 0.437 M A, then what is the [ Reactant A] (in M A) at 300 minutes?

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
A reaction is 2nd order with respect to [ Reactant A ]. If the rate
constant from the equation of the trendline in Excel is 3.22 x 10
3
(units deliberately omitted), and the initial concentration is
0.437 M A, then what is the[ Reactant A] (in M A) at 300
minutes?
IMPORTANT: When entering your answer:
• Enter the number only (no units)
• Do not leave any spaces
• Use a leading zero before the decimal when necessary
• Report your number to 3 decimal places (regardless of the
significant figures)
• Correctly round your answer to the 3rd decimal place (margin
of allowed error is only + 0.001, so always use un-rounded
numbers in your calculations). If the last digits are zeros they
will not display once you click away, but the answer will still
be marked correct.
Examples: 0.123 or 0.045
Transcribed Image Text:A reaction is 2nd order with respect to [ Reactant A ]. If the rate constant from the equation of the trendline in Excel is 3.22 x 10 3 (units deliberately omitted), and the initial concentration is 0.437 M A, then what is the[ Reactant A] (in M A) at 300 minutes? IMPORTANT: When entering your answer: • Enter the number only (no units) • Do not leave any spaces • Use a leading zero before the decimal when necessary • Report your number to 3 decimal places (regardless of the significant figures) • Correctly round your answer to the 3rd decimal place (margin of allowed error is only + 0.001, so always use un-rounded numbers in your calculations). If the last digits are zeros they will not display once you click away, but the answer will still be marked correct. Examples: 0.123 or 0.045
Expert Solution
Step 1

For a second-order reaction, the reaction rate is proportional to the square of the concentration of the reactant. The rate law is -rA=kCA2. Here,  is the reaction rate constant and CA is the concentration of reactant A at any instant of time. Also, it is known that the rate of the reaction is a change in concentration per unit of time. It is therefore equals to -dCAdt.

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