Question

A given sample of milk turns sour at room temperature $\left({27}^{o}C\right)$ in 5 hours. In a refrigerator at $-3^{o}C$, it can be stored 10 times longer. The energy of activation for the souring of milk is :

• A. $2.303\times 10RkJ\cdot mo{l}^{-1}$
• B. $2.303\times 5RkJ\cdot mo{l}^{-1}$
• C. $2.303\times 3RkJ\cdot mo{l}^{-1}$
• D. $2.303\times 2.7RkJ\cdot mo{l}^{-1}$

Answer 1

The correct option is D $2.303\times 2.7RkJ\cdot mo{l}^{-1}$

The energy of activation is given by the expression
$E_a=\frac{2.303RT{T}^{\prime }}{T^{\prime }-T}log\frac{k^{\prime }}{k}$
$E_a=\frac{2.303\times R\times 300\times 270}{300-270}log\frac{10k}{k}$
$E_a=2.303\times 2699RJ\cdot mo{l}^{-1}$
$E_a=2.303\times 2.7RkJ\cdot mo{l}^{-1}$