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. `16.62 J`B. `166.2J`C. `1662J`D. `1.662J`

Answer» Correct Answer - B
`V = kT^(2//3)`
`dV = (2)/(3) kT^(-(1)/(3)) dT , W = int PdV = int (nRT)/(V)`
`= R int (T)/(V) dV = R (2)/(3) int (TKT^(-(1)/(3))dT)/(KT^((1)/(2)))`
`= (2)/(3) R (T_(2) - T_(1)) = (2)/(3) R (30) = 20 (8.31) = 166.2 J`


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