dr = a(p- 1)(q-), dt
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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![A second-order chemical reaction involves the interaction of onc molccule of a substance P
with one molecule of another substance Q to produce one molecule of another substance X. Suppose
that p and q are the initial concentrations of P and Q and let r(t) be the concentration of X at time
t. Then p- I(t) and q -r(t) are the concentrations of P and Q at time t, and the rate at which the
reaction occurs is given by the equation
dr
*(I - b)(I – d)o=
dt
where a is a positive constant. Solve the initial value problem with r(0) = 0 assuming p # q.
Answ: r(t) = Pq(e®(q-p)t _1
qea(q-p)t-p
, you may nced to manipulate your answer to get this.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc740e8b2-d410-40ba-b674-1beb1e9bb454%2Fb4b8718d-62ee-4184-a6ea-aa6ebe609e7b%2Fft3c6o8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A second-order chemical reaction involves the interaction of onc molccule of a substance P
with one molecule of another substance Q to produce one molecule of another substance X. Suppose
that p and q are the initial concentrations of P and Q and let r(t) be the concentration of X at time
t. Then p- I(t) and q -r(t) are the concentrations of P and Q at time t, and the rate at which the
reaction occurs is given by the equation
dr
*(I - b)(I – d)o=
dt
where a is a positive constant. Solve the initial value problem with r(0) = 0 assuming p # q.
Answ: r(t) = Pq(e®(q-p)t _1
qea(q-p)t-p
, you may nced to manipulate your answer to get this.
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