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A vertical piston–cylinder device contains a gas at a pressure of 100 kPa. The piston has a mass of 10 kg and a diameter of 14 cm. Pressure of the gas is to be increased by placing some weights on the piston. Determine the local atmospheric pressure and the mass of the weights that will double the pressure of the gas inside the cylinder Answers: 93.6 kPa, 157 kg
The local atmospheric pressure of the vertical piston-cylinder device.
The mass of the weights that will double the pressure of the vertical piston-cylinder device.
Answer to Problem 98RP
The local atmospheric pressure of the vertical piston-cylinder device is
The mass of the weights that will double the pressure of the vertical piston-cylinder device is
Explanation of Solution
Show the free body diagram of the vertical piston-cylinder device.
Write the expression of vertical force in the piston-cylinder device.
Here, the mass of piston is
Write the expression of balance force in the piston-cylinder device.
Here, the mass of the weights that will double the pressure is
Determine the area of the piston-cylinder.
Conclusion:
Substitute
Substitute
Thus, the local atmospheric pressure of the vertical piston-cylinder device is
Substitute
Thus, the mass of the weights that will double the pressure of the vertical piston-cylinder device is
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