Two different adiabatic paths for the same gas intersect two isothermal curves as shown in P-V diagram. The relation between the ratio $\frac{V _{a}}{V _{d}}$ and the ratio $\frac{V _{b}}{V _{c}}$ is:

Question

Two different adiabatic paths for the same gas intersect two isothermal curves as shown in P-V diagram. The relation between the ratio V d ​ V a ​ ​ and the ratio V c ​ V b ​ ​ is:

TestHub · Accepted Answer

For adiabatic process TV γ − 1 = constant ​ T a ​ ⋅ V a γ − 1 ​ = T d ​ ⋅ V d γ − 1 ​ ( V d ​ V a ​ ​ ) γ − 1 = T a ​ T d ​ ​ T b ​ ⋅ V b γ − 1 ​ = T c ​ ⋅ V c γ − 1 ​ ( V c ​ V b ​ ​ ) γ − 1 = T b ​ T c ​ ​ V d ​ V a ​ ​ = V c ​ V b ​ ​ ( ∵ T d ​ = T c ​ T a ​ = T b ​ ​ ) ​

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion