InterviewSolution
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InterviewSolution
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An ideal gas is expanded such that `PT^(2)=a` constant. The coefficient of volume expansion of the gas isA. `(1)/(T)`B. `(2)/(T)`C. `(3)/(T)`D. `(4)/(T)` |
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Answer» Correct Answer - C From ideal gas eduation `PV = n RT` or `P=(n RT)/(V)` as gas expands such that `PT^(2)=a` constant `=C` (say) so `((n RT)/(V))T^(2) =C` or `T^(3) prop V` or `T^(3) =k V` …..(i) Diffrentiating it w.r.t. T, we have `3T^(2) =k(dV)/(dT)` Dividing it by (i), we have `(3)/(T) =(1)/(V) (dV)/(dT)` Coefficient of volume expansion, `gamma=(1)/(V) (dV)/(dT) =(3)/(T)` |
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