An ideal gas follows a process described by `PV^(2)=C` from `(P_(1), V_(1),T_(1)) " to " (P_(2), V_(2), T_(2))` (C is a constant). Then

Options

A. If `P1 gt P_2` then `T_2 gt T_1`
B. If `V_2 gt V_1` then `T_2 lt T_1`
C. If `V_2 gt V_1` then `T_2 gt T_1`
D. If `P_1 gt P_2` then `V_1 gt V_2`

Answer

B

Explanation

`PV^2 = C implies ((n R T)/(V)) V^2 =C`
`implies TV=C implies T_1V_1 = T_2V_2`
If temperature increases, volumes decreases and vice versa
`implies V_2 gt V_1` then `T_2 lt T_1`.