Question:
Three samples $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ of the same gas $(\gamma=1.5)$ have equal volume and temperatures. The volume of each sample is doubled, the process being isothermal for A, adiabatic for B and isobaric for $C$. If the final pressure are equal for the three samples, find the ratio of the initial pressures.
Solution: