Using the expression for the entropy change of an ideal gas when the volume and temperature change and TV[itex]\gamma-1[/itex] = constant, show explicitly that the change in entropy is zero for a quasi-static adiabatic expansion from state V1T1 to state V2T2.
TV[itex]\gamma-1[/itex] = constant
dS = dQr / T
The Attempt at a Solution
My idea was to use T1V1[itex]\gamma-1[/itex] = T2V2[itex]\gamma-1[/itex] and solve for T in terms of V and substitute into the second equation. I couldn't figure it out from there, so my question is is my idea of what to do fundamentally wrong, or is my calculation once i set up the problem wrong?