AP EAMCET2012PhysicsThermodynamics
Work done to increase the temperature of one mole of an ideal gas by 30^ C , if it is expanding under the condition V T^ 2 / 3 is, (R=8.314 ~J / mol / K )
Options
- A116.2 ~J
- B136.2 ~J
- C166.2 ~J
- D186.2 ~J
Correct answer
C. 166.2 ~J
Step-by-step solution
We have, V T^ 2 / 3 and p V p=k V p=k V^ 1 / 2 Work done, W= p d V aligned W & = k V^ 1 / 2 W & = k V^ 3 / 2 3 / 2 W & = 2 3 p V V^ 3 / 2 = 2 3 p V [ V= p V ] & = 2 3 n R T= 2 3 1 8.3 30=166.2 ~J aligned