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Three samples A, B and C of the same gas (γ=1.5)

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:

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