Statement I: The work done on an ideal gas in changing its volume from `V_(1)` to `V_(2)` under a polytropic porcess is given by the integral `int _(v_(1))^(v_(2)) P. Dv` taken along the process
Statement II: No work is done under an isochroci process of the gas.

Options

A. Statement I: is true, Statement II is true and Statement II is the correct explanation for Statement I.
B. Statement I: is true, Statement II is true and Statement II is NOT the correct explanation for Statement I.
C. Statement I is true, Statement II is false.
D. Statement I is false, Statement II is true.

Answer

C, D

Explanation

Work is done only in expansions or compressions of the gas where volume changes occur. In a quasi`-` static condition, a small change of volume `dV` under pressure `P` involves the work `dV=PdV`. In a succession of quasi `-` static equilibrium state, total work done can be obtained by integration.