For the adsorption of hydrogen on platinum, the activation energy is 30 kJ and for the adsorption of hydrogen on nickel, the activation energy is 41.4 kJ . The logarithm of the ratio of the rates of chemisorption on equal areas of the metals at 300 K is

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Solution

Q.
For the adsorption of hydrogen on platinum, the activation energy is 30 kJ ${mol}^{- 1}$ and for the adsorption of hydrogen on nickel, the activation energy is 41.4 kJ ${mol}^{- 1}$ . The logarithm of the ratio of the rates of chemisorption on equal areas of the metals at 300 K is _______ (Nearest integer).

Given: ln 10 = 2.3

R = 8.3 J $K^{- 1} {mol}^{- 1}$ [2023]

Ans.
(2)

$\log (\frac{K_{2}}{K_{1}}) = \frac{Δ E}{2.3 RT}$

$= \frac{11.4 \times 1000}{2.3 \times 8.3 \times 300} = 1.99 \approx 2$

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