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If a monoatomic ideal gas of volume 1 li...

If a monoatomic ideal gas of volume 1 litre at N. T.P . Is compressed
the work done if the compression is isothermal . `(gamma=5//3)`

Text Solution

Verified by Experts

Work done during isothermal compression is
`W=2.3026" nRT "log_(10)((V_(2))/(V_(1)))`
n = number of moles `=(1)/(22.4),`
`T=273K ,R=8.314J "mol"^(-1)K^(-1)`
`(V_(2))/(V_(1))=(1)/(2)=0.5`
`thereforeW= (2.3026xx8.314xx273"log"_(10)(0.5))/(22.4) " or "W=-70J.`
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