1.

Find the amount of work done to increase the temperature of one mole of ideal gas by `30^(@)C` .if its is expanding under the condition `V prop R^(2//3) (R = 8.31 J//mol -K):`A. `16.62J`B. `166.2J`C. `1662J`D. `1.662J`

Answer» `PV=mRT" " T`
Process `VpropT^(2//3)` or `TpropV^(3//2)`
For `PV^(x)=" constant" PVpropV^(3//2)`
`PV^(-1//2)` constant
`W=(nR)/(x-1)(dt)`
`=(1R)/(-1-(1)/(2))(-30)=(60R)/(3)=20R=166.2`


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