For adiabatic expansiion of a perfect gas, `(dP)/(P)` isA. `(dV)/(V)`B. `gamma.(dV)/(V)`C. `-gamma(dV)/(V)`D. `-gamma^(2)(dV)/(V)`

For adiabatic expansiion of a perfect gas, `(dP)/(P)` isA. `(dV)/(V)`B

1.	For adiabatic expansiion of a perfect gas, `(dP)/(P)` isA. `(dV)/(V)`B. `gamma.(dV)/(V)`C. `-gamma(dV)/(V)`D. `-gamma^(2)(dV)/(V)`
Answer» For adiabatic expansion, `PV^(gamma) =` constnat On differentiating, `P.gamma.V^(gamma-1)dV +V^(gamma) dP = 0 -Pgamma V^(gamma-1) dV = V^(gamma)dP` or `(dP)/(P) =- gamma.(V^(gamma-1))/(V^(gamma))dV =- gamma.(dV)/(V)`.

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For adiabatic expansiion of a perfect gas, `(dP)/(P)` isA. `(dV)/(V)`B. `gamma.(dV)/(V)`C. `-gamma(dV)/(V)`D. `-gamma^(2)(dV)/(V)`

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