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1 mole of an ideal gas at 27^@ C tempera...

1 mole of an ideal gas at `27^@` C temperature and 2 atm pressure is compressed adiabatically until its final temperature became 848.4 K. Find the total work done on the gas.

Text Solution

Verified by Experts

For isothermal construction,
`W=(muR[T_1-T_2])/(gamma-1)`
`mu`=1 mol , R=8.3 `"J mol"^(-1) K^(-1)`
`T_2`=848.4 K , `T_1`=300 K
`W=(1xx8.3[300-848.4])/(1.5-1)`
`=-(8.3xx548.4)/0.5`
`therefore` W=-9097 J
Here negative sign shows that total W=9097 J work is done on gas.
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