InterviewSolution
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InterviewSolution
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The molar specific heat of an ideal gas at constant pressure and constant volume is `C_(p)` and `C_(v)` respectively. If R is the universal gas constant and the ratio of `C_(p)` to `C_(v)` is `gamma`, then `C_(v)`.A. `(1-gamma)/(1+gamma)`B. `(1+gamma)/(1-gamma)`C. `(gamma-1)/(R)`D. `(R)/(gamma-1)` |
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Answer» Correct Answer - D According to Mayer formula, `C_(p)-C_(v)=R` . . .(i) where, `C_(p)` = specific heat at constant pressure, `C_(v)` = specific heat at constant volume and R = gas constant Now , `gamma=(C_(p))/(C_(v))` `rArr" "C_(p)=gammaC_(v)` . . . .(ii) From Eqs. (i) and (ii), we get `rArr" "gammaC_(v)-C_(v)=RrArrC_(v)(gamma-1)=R` `rArr" "C_(v)=(R)/(gamma-1)` |
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