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When 5 moles of an ideal gas is compress...

When 5 moles of an ideal gas is compressed isothermally, its volume decreases from 5 litre to 1 litre. If the gas is at `27^(@)`C, find the work done on the gas.

Text Solution

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In the case of .n. moles, work done on the gas
`W=nRT log_(e ) ((V_(2))/(V_(1)))=nRT xx 2.30 26 xx log_(10)((V_(2))/(V_(1)))`
`R=8.314"J mole"^(-1)K^(-1)`,
`T=27+273=300K, V_(1)=1` litre`=10^(-3)m^(3)`
`:.V_(2)=5`litre`=5xx10^(-3)m^(3) rArr (V_(2))/(V_(1)) =(1)/(5)`
`:.W=5xx8.314 xx 300xx2.3026xx log_(10)((1)/(5))`
`=5xx8.314 xx300xx2.3026xx(-0.6990)= -2.007xx10^(4)J`
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