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10 mole of ideal gas expand isothermally...

10 mole of ideal gas expand isothermally and reversibly from a pressure of `10atm` to `1atm` at `300K`. What is the largest mass which can lifted through a height of `100` meter?

A

31842 kg

B

58.55 kg

C

342.58kg

D

6051 kg

Text Solution

Verified by Experts

The correct Answer is:
B
`w=-nRT"In"(P_(1))/(P_(2))`
`=-10xx8.314xx300"In"10/1`
`=-57441.43J`
`w=-mgh`
`:.mxx9.81xx100=57441.42`
`m=58.55kg`
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