3-76 A rigid tank whose volume is unknown is divided into two parts by a partition. One side of the tank contains an ideal gas at 927°C. The other side is evacuated and has a volume twice the size of the part containing the gas. The partition is now removed and the gas expands to fill the entire tank. Heat is now applied to the gas until the pressure equals the initial pressure. Determine the final temperature of the gas. Answer: 3327°C
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Initially, the gas is in a tank with volume V1 and pressure P1. The temperature is not given, so we'll call it T1. Show more…
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Develop equations which may be solved to give the final temperature of the gas remaining in a tank after the tank has been bled from an initial pressure $P_{1}$ to a final pressure $P_{2}$. Known quantities are initial temperature, tank volume, heat capacity of the gas, total heat capacity of the containing tank, $P_{1}$, and $P_{2}$. Assume the tank to be always at the temperature of the gas remaining in the tank, and the tank to be perfectly insulated.
A rigid tank whose volume is unknown is divided into two parts by a partition. One side of the tank contains an ideal gas at $927^{\circ} \mathrm{C}$. The other side is evacuated and has a volume twice the size of the part containing the gas. The partition is now removed and the gas expands to fill the entire tank. Heat is now transferred to the gas until the pressure equals the initial pressure. Determine the final temperature of the gas.
Animesh R.
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