An ideal gas of mass `m` in a state `A` goes to another state `B` via three different processes as shown in Fig. If `Q_(1), Q_(2)` and `Q_(3)` denote the heat absorbed by the gas along the three paths, then

Options

A. `Q_(1) lt Q_(2) lt Q_(3)`
B. `Q_(1) lt Q_(2) = Q_(3)`
C. `Q_(1) = Q_(2) gt Q_(3)`
D. `Q_(1) gt Q_(2) gt Q_(3)`

Answer

A

Explanation

a. Area enclosed by curve 1 lt area enclosed b curve 2 lt Area enclosed by curve 3
`:. Q_(1) lt Q_(2) lt Q_(3)` (As `Delta U` is same for all the curves)