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An ideal gas follows a process described...

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

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`

Text Solution

Verified by Experts

The correct Answer is:
B
`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`.
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