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Find the amount of work done to increase the temperature of one mole jof an ideal gas by `30^(@)C`, if it is expanding under condition `VooT^(2//3)`.A. `10 R`B. `20 R`C. `30 R`D. `40 R` |
Answer» Correct Answer - B `W = int PdV = int (RT)/(V) dV` Since `V = kT^(2//3)` Hence, `(dV)/(V) = 2/3KT^(-1//3) dt :. (dV)/(V)=2/3 *(dT)/(T)` Hence `W = int_(T_1)^(T_2) 2/3 (RT)/(T) dT` ` = 2/3 R(T_(2)-T_(1)) = 2/3 R(30) = 20R`. |
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