A vertical cylinder of 10.0 cm in diameter is closed airtight by a piston with m = 60.0 kg which can move freely up and down. The cylinder contains 2.00 I (liter) of helium gas at 22.0 °C. Assume an ambient external pressure of 0.100 MPa, and helium to be an ideal monoatomic gas. a) What is the temperature to which the gas has to be heated up to lift the piston by h = 0.150 m? Hint: What is the mechanical energy or work you need to lift the piston? What is the related thermodynamic work?

Elements Of Electromagnetics
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Problem 6.3
A vertical cylinder of 10.0 cm in diameter is closed airtight by a piston with m = 60.0 kg which can
move freely up and down. The cylinder contains 2.00 I (liter) of helium gas at 22.0 °C. Assume an
ambient external pressure of 0.100 MPa, and helium to be an ideal monoatomic gas.
a) What is the temperature to which the gas has to be heated up to lift the piston by h = 0.150 m?
Hint: What is the mechanical energy or work you need to lift the piston? What is the related
thermodynamic work?
b) What is the ratio of the work performed and the amount of heat to be added?
Transcribed Image Text:A vertical cylinder of 10.0 cm in diameter is closed airtight by a piston with m = 60.0 kg which can move freely up and down. The cylinder contains 2.00 I (liter) of helium gas at 22.0 °C. Assume an ambient external pressure of 0.100 MPa, and helium to be an ideal monoatomic gas. a) What is the temperature to which the gas has to be heated up to lift the piston by h = 0.150 m? Hint: What is the mechanical energy or work you need to lift the piston? What is the related thermodynamic work? b) What is the ratio of the work performed and the amount of heat to be added?
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