Match the LIST-I with LIST-II Choose the correct answer from the options given below:
- A-IV, B-I, C-III, D-II
- A-I, B-III, C-II, D-IV
- A-II, B-I, C-III, D-IV
- A-IV, B-II, C-III, D-I
Answer
(3) A-II, B-I, C-III, D-IV
Solution
For an isothermal process of an ideal gas, w = - pex dV. Here Vf is the larger and Vi the smaller volume.
A. Reversible expansion (pex = p = nRTV at every stage):
w = - ViVf nRTV dV = -nRT ( VfVi ) A-II
B. Free expansion (expansion against vacuum, pex = 0) w = 0 B-I
C. Irreversible expansion against constant pex from Vi to Vf:
w = -pex(Vf - Vi) (negative, work done by the gas) C-III
D. Irreversible compression against constant pex from the larger volume Vf to the smaller volume Vi:
w = -pex(Vi - Vf) (positive, work done on the gas) D-IV
A-II, B-I, C-III, D-IV
Answer: (3)