An ideal gas expands from V to `2V` in 4 separate processes. Where process 1 is isothermal process 2 is adiabatic, process 3 is free expansion and process 4 is isobaric. If `E_(1),E_(2),E_(3)` and `E_(4)` are the changes in average kinetic energy of the molecules in the isothermal, adiabatic free expansion and isobaric process respectively then choose the correct options.

Options

A. `E_(2)=E_(3)`
B. `E_(1)=E_(3)`
C. `E_(1)gtE_(4)`
D. `E_(4)gtE_(3)`

Answer

B, D

Explanation

Ave `Keprop` temperature.
In isothermal and free expansion there is no temperature change hence `E_(1)=E_(3)`. In isobaric expansion process, the temperature of gas increases hence average KE of molecules increases.