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.
B.
C.
D.

Answer

D

Explanation

Since the piston is pushed very quickly from position 1 to position 2, the process `AB` is an adiabatic compression. Process `BC` is isochoric and process `CA` is an isothermal expansion. These are shown on the `P-V` diagram correctly in option (d).