An ideal gas `(C_(P)//C_(V)=gamma)` is expanded so that the amount of heat transferred to the gas the is equal to the decrease in its internal energy . What is the relationship between temperature and volume of gas in this process ?A. `T. V^(2(gamma-1))= "constant"`B. `T. V^(gamma-1)= "constant"`C. `T. V^((gamma-1//2))= "constant"`D. `T. V^(gamma)= "constant"`

An ideal gas `(C_(P)//C_(V)=gamma)` is expanded so that the amount of

1.	An ideal gas `(C_(P)//C_(V)=gamma)` is expanded so that the amount of heat transferred to the gas the is equal to the decrease in its internal energy . What is the relationship between temperature and volume of gas in this process ?A. `T. V^(2(gamma-1))= "constant"`B. `T. V^(gamma-1)= "constant"`C. `T. V^((gamma-1//2))= "constant"`D. `T. V^(gamma)= "constant"`
Answer» Correct Answer - C `dq = dU +p dV` `- dU = dU + pdV` `- 2n C_(V)dT=(nRT)/(V) d V` `int(dT)/(T)= (R)/(2C_(V))int(dV)/(V)+ "constant"` `therefore T V ^(gamma-1)="constant"`

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