An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding P-V diagrams in column 3 of the table. Consider only the path from state 1 to state 2. W denotes the corresponding work done on the system. The equations and plots in the table have standard notations as used in thermodynamic process. Here is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas in n.


Which of the following options is the only correct representation of a process in which `Delta U = Delta Q - P Delta V`?

Options

A. (IV) (ii) (S)
B. (III) (ii) (S)
C. (II) (iv) (R)
D. (II) (iv) (P)

Answer

B

Explanation

(A) In correct since in Isochoric process `W = 0`
(B) Correct as `W_("isochoric") = 0`
Graph is also correct.
(C) Not correct combinations since `W_(1 to 2) = - PV_2 + PV_1` is wrong for Adiabatic process.
(D) Incorrect combination of graph and process.