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Question
5 moles of an ideal gas expand isothermally and reversibly from a pressure of 10 atm to 2 atm at 300k. What is the largest mass which can be lifted through a height of 1 meter in this expansion?
5 moles of an ideal gas expand isothermally and reversibly from a pressure of 10 atm to 2 atm at 300k. What is the largest mass which can be lifted through a height of 1 meter in this expansion?
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Solution
The correct option is B 2049 kg
The work done in an isothermal process can be given by:
w = −nRT logeP1P2
w = −2.303 × 5 × 8.314 × 300 × log(102) = −20.075 × 103 J
Mgh = M × 9.8 × 1
M × 9.8 = 20.075 × 103
M = 2048.469 kg
M ≅ 2049 kg
The work done in an isothermal process can be given by:
w = −nRT logeP1P2
w = −2.303 × 5 × 8.314 × 300 × log(102) = −20.075 × 103 J
Mgh = M × 9.8 × 1
M × 9.8 = 20.075 × 103
M = 2048.469 kg
M ≅ 2049 kg
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One mole of an ideal gas expands isothermally and reversibly from 100 atm to 10 atm at 300K. The largest mass that can be lifted through a height of 1 meter in this expansion (in Join BYJU'S Learning Program
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