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Temperature of two moles of an ideal gas...

Temperature of two moles of an ideal gas is increased by 300K in a process `V=a/T`, where a is positive constant. Find work done by the gas in the given process.

Text Solution

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`VT`= constant
or `V(p_V)=`constant (as `T=prop pV`)
`:.pV^2=` constant
Comparing with `pV^(x)=` constant, we have
`x=2`
`W=(nRDeltaT)/(1-x)`
`=((2)(R)(300))/(1-2)`
`=-600R`
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