Solve this:
Q.12. An ideal gas is expanding such that PT = constant. The coefficient of volume expansion of the gas is
(1) $\frac{1}{T}$
(2) $\frac{2}{T}$
(3) $\frac{3}{T}$
(4) $\frac{4}{T}$

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Solution

Dear student,
$C o e f f i c i e n t o f V o l u m e e x p a n s i o n, γ = \frac{1}{V} \frac{d V}{d T} P T = c o n s \tan t (P V = n R T) (\frac{n R T}{V}) T = c o n s \tan t c o n s \tan t V = n R T^{2} 2 n R T d T = c o n s t d V \frac{d V}{d T} = \frac{2 n R T}{c o n s t} γ = \frac{1}{V} \frac{d V}{d T} = \frac{2 n R T}{c o n s t V} = \frac{2 n R T}{P T \frac{n R T}{P}} = \frac{2}{T} R e g a r d s$

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