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An insulated, evacuated container is connected to a supply line of an ideal gas at pressure $P_s$, temperature $T_s$ and specific volume $V_s$. The container is filled with the gas until the pressure in the container reaches $P_s$. There is no heat transfer between the supply line to the container, and kinetic and potential energies are negligible, If $C_p$ and $C_v$ are the heat capacities at constant pressure and constant volume, respectively ($\gamma = C_p/C_v$), then the final temperature of the gas in the container is

  1. $\gamma T_s$
  2. $T_s$
  3. ($\gamma-1)T{_s}$
  4. ($\gamma-1)T{_s}/\gamma$
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