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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 collectedat 0.03 atm and 300 K in a small vessel of 2.46 `cm^3`. No. of sites available is `5.4 xx 10^(16)` per `cm^2` and surfacearea is 1000 `cm^2`. Find out the no. of surface sites occupied per molecule of `H_2 : ["Given" N_A = 6 xx 10^(23)]`

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Adsorbed moles of `H_(2) = (0.03 xx 2.46 xx 10^(-3))/(0.0821 xx 300) = 3 xx 10^(-6)`
`therefore` No. of absorbed molecules of `H_(2) = 3 xx 10^(-6) xx 6 xx 10^(23) rArr 18 xx 10^(17)`
Total no. of surface sites available ` = 5.4 xx 10^(16) xx 1000 rArr 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) rArr 5.4 xx 10^(18)`
No. of surface sites occcupied by one molecule `H_(2) = (5.4 xx 10^(18))/(18 xx 10^(17)) = 3`
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