Figure, shows the variation of potential energy `(U)` of 2 mol of Argon gas with its density in a cyclic process `ABCA`. The gas was initiallly in the state `A` whose pressure and temperature are `P_(A)=2 atm, T_(A)=300K`, respectively. It is also stated the path `AB` is a rectangular hyperbola and the internal energy of the gas at state `C` is `3000r`. Based on the above information answer the following question `:`

Options

A. The process `AB` is isobaric, `BC` is adiabatic and `CA` is isochoric.
B. The pocess is `AB` is adiabatic, `BC` is isothermal and `CA` is isochoric.
C. The process `AB` is isochoric, `BC` is isothermal and `CA` is isobaric
D. The process `AB` is isochoric, `BC` is isothermal and `CA` is isochoric

Answer

D

Explanation

Since `AB` is rectangular hyperbola, therefore,
`:. U rho=` Constant
`implies n C_(v)T(PM)/(RT)=C`
`implies P=` Constant
`:. AB rarr` isobaric
` BC rarr` isothermal as `U` is constant
`CA rarr` isochoric as `rho` is constant