A cylinder containing an ideal gas ( see figure ) and closed by a movable pistong is submerged in an ice- water mixture. The pistone is quickly pushed down from position (1) to position (2)( process `AB)`. The piston is held at position `(2)` until the gas is again at `0^(@)C` ( processs `BC)`. Then the pistone is slowly raised back to position (1) ( process `CA)`

Which of the following `P-V` diagram will correctly represent the processes `AB, BC` and `CA` and the cycle `ABCA?`

Options

A. `(PV)/(2)J`
B. `(2PV)/(3)J`
C. `PVJ`
D. none of these

Answer

D

Explanation

Work done during the entire cycle `= 8 kcal =W`
But `W=W_(ad)=W_(v)+W_(iso)`
`=(R(T_(2)-T_(1)))/(gamma-1)+0+RT1n(V_(2))/(V_(1))`