For the reaction in a sealed container at constant temperature

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

For the reaction

C \rightleftharpoons D

in a sealed container at constant temperature, the rates (mol L

^{-1}

^{-1}

) vary with time

t

(s) according to the expressions Forward rate:

r_f = 0.60\,e^{-0.30\,t}

Reverse rate:

r_r = 0.60\,(1 - e^{-0.30\,t})

At what time will the two rates become equal? (a)

1.0\,\text{s}

(b)

4.6\,\text{s}

(c)

2.3\,\text{s}

(d) They will never be equal in a closed system.