A) \[\frac{df}{dt}=k\left( 1-f \right)\]
B) \[-\frac{df}{dt}=kf\]
C) \[-\frac{df}{dt}=k\left( 1-f \right)\]
D) \[\frac{df}{dt}=kf\]
Correct Answer: A
Solution :
| Given \[f=\left( 1-\frac{c}{{{c}^{o}}} \right),\] then \[\frac{c}{{{c}^{o}}}=\left( 1-f \right)\] |
| \[\frac{df}{dt}=\frac{1}{{{c}^{o}}}\frac{dc}{dt}\] for first-order reaction |
| \[-\frac{dc}{dt}=K\left[ c \right]\] |
| \[\frac{df}{dt}=\frac{1}{{{c}^{o}}}K\left[ c \right]\] then \[\frac{df}{dt}=K\left( 1-f \right)\] |
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