a) A piston-and-cylinder device contains an ideal gas at 20 bar and 25 C. The piston...

 

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a) A piston-and-cylinder device contains an ideal gas at 20 bar and 25 °C. The piston has a mass of 300 kg and a cross-sectional area of 0.05 m² and moves within the cylinder without any friction. The initial volume of the gas in the cylinder is 0.03 m², the piston is initially held in place by a pin, and the external pressure on the piston and cylinder is 1 bar. The pin suddenly breaks, and the piston moves 0.6 m farther up the cylinder, where it is stopped by another pin. Assuming that the gas is ideal with a constant-pressure heat capacity (Cp) of 30 J/mol-K and that there is no heat transfer between the gas and the cylinder walls or piston, estimate the piston velocity, and the temperature and pressure of the gas just before the piston hits the second pin. b) If the piston-cylinder device instead contained an ideal gas at 10 bar and 25 °C, estimate the piston velocity, and the temperature and pressure of the gas just before the piston hits the second pin. a) A piston-and-cylinder device contains an ideal gas at 20 bar and 25 °C. The piston has a mass of 300 kg and a cross-sectional area of 0.05 m² and moves within the cylinder without any friction. The initial volume of the gas in the cylinder is 0.03 m², the piston is initially held in place by a pin, and the external pressure on the piston and cylinder is 1 bar. The pin suddenly breaks, and the piston moves 0.6 m farther up the cylinder, where it is stopped by another pin. Assuming that the gas is ideal with a constant-pressure heat capacity (Cp) of 30 J/mol-K and that there is no heat transfer between the gas and the cylinder walls or piston, estimate the piston velocity, and the temperature and pressure of the gas just before the piston hits the second pin. b) If the piston-cylinder device instead contained an ideal gas at 10 bar and 25 °C, estimate the piston velocity, and the temperature and pressure of the gas just before the piston hits the second pin.