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10% sites of catalyst bed have adsorbed ...

10% sites of catalyst bed have adsorbed by `H_2` on heating `H_2` gas is evolved from sites and collected at 0.03atm and 300K in a small vessel of `2.46cm^3`. No.of sites available is `5.4 xx 10^16` per `cm^2` and surface area is `1000 cm^2`. Findout the no.of surface sites occupied per molecule of `H_2 (N_A = 6 x 10^23)`

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
1 Adsorbed moles of `H_2 = (0.03 xx 2.46 xx 10^(-3))/(0.0821 xx 300) = 3 xx 10^(-6)`
No. of absorbed molecules of `H_2 = 3 xx 10^(-6) xx 6 xx 10^(23) = 18 xx 10^(17)`
Total no. of surface sites available `= 5.4 xx 10^(16) xx 1000 = 5.4 xx 10^(19) cm^2`
No. of surface sites that is occupied by adsorption of `H_2 = 10/100 xx 5.4 xx 10^(19) = 5.4 xx 10^(18)`
No. of surface sites occupied by one molecule `H_2 = (5.4 xx 10^(18))/(18 xx 10^(17)) = 3`.
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