ThermodynamicsHard
Question
If the ratio Cp/Cv = $\gamma$, the change in internal energy of the mass of a gas, when volume changes from V to 2V at constant pressure P, is
Options
A.$\frac{R}{\gamma - 1}$
B.PV
C.$\frac{PV}{\gamma - 1}$
D.$\frac{\gamma PV}{\gamma - 1}$
Solution
$\Delta U = n.C_{V,m}.\left( T_{2} - T_{1} \right) = n.\frac{R}{\gamma - 1}.\left( \frac{P.2V}{nR} - \frac{P.V}{nR} \right) = \frac{PV}{\gamma - 1}$
Create a free account to view solution
View Solution FreeMore Thermodynamics Questions
For an ideal gas subjected to different processes as shown in the graphs, select the graph which will involve the greate...How many times a diatomic gas should be expanded adiabatically so as to reduce the RMS speed to half?...When one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated to twice its tempera...Standard entropies of X2, Y2 and XY3 are 60, 40 and 50 JK-1 mol-1 respectively. For the reaction y2 ⇋ XY3 ; ᐃ...An ideal gas in a thermally insulated vessel at internal pressure = P1, volume = V1 and absolute temperature = T1 expand...