(a) The reaction to form an iodine molecule is a second-order kinetics rate of loss of iodine atoms and follows the 1st order ODE as shown below, dl -λ1² dt At 23°C in the gas phase, this reaction has a rate λ = 7.0 x 10° L mol-¹s-¹. Compute I after 1.5 s if the boundary condition is lo = 6.72 x 10-³ mol L-¹ at t = 0 s, using the separation of variables method. =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
Question
(a)
The reaction to form an iodine molecule is a second-order kinetics rate of loss of iodine
atoms and follows the 1st order ODE as shown below,
dl
= -21²
dt
At 23°C in the gas phase, this reaction has a rate λ = 7.0 × 10⁹ L mol-¹5-¹.
-1
Compute I after 1.5 s if the boundary condition is I₁ =
t = 0 s, using the separation of variables method.
= 6.72 x 10-3 mol L-¹ at
Transcribed Image Text:(a) The reaction to form an iodine molecule is a second-order kinetics rate of loss of iodine atoms and follows the 1st order ODE as shown below, dl = -21² dt At 23°C in the gas phase, this reaction has a rate λ = 7.0 × 10⁹ L mol-¹5-¹. -1 Compute I after 1.5 s if the boundary condition is I₁ = t = 0 s, using the separation of variables method. = 6.72 x 10-3 mol L-¹ at
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