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10 mole of ideal gas expand isothermally...

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

A

`31842 kg`

B

`58.55kg`

C

`342.58 kg`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
2

`w=-nRTln.(P_(1))/(P_(2))=-10xx8.314xx300ln.(10)/(1)=-57441.42J`
`w=-mgh`
`:. " "m=9.81xx100=57441.42`
`m=58.55kg`
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