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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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