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What fraction of the surface of a crysta...

What fraction of the surface of a crystal of `Cd` at `T = 298 K` consists of vacancies? Assume that the energy needed to form a vacancy `= 0.5 Delta_("sub")H^(Θ)`. For `Cd(s), Delta_("sub")H^(Θ) = 112.0 kJ mol^(-1)`.

A

`6.02 xx 10^(-22)`

B

`6.02xx 10^(22)`

C

`1.5 xx 10^(-10)`

D

`1.50xx 10^(10)`

Text Solution

Verified by Experts

Fraction is expressed in terms of
`(n)/(N) = exp (-( E)/(RT)) = 1.52 xx10^(-10)`
Given E= `112.01xx10^(2) "Jmol"^(-1) xx(50)/(100) `
R `= 8.313 "Jmol"^(-1) K^(-1)`
T = 298 K
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