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If the absolute temperature of a gas hav...

If the absolute temperature of a gas having volume `V cm^(3)` is doubled and the pressure is reduced to half, the final volume will be 

A

0.25 V

B

0.50 V

C

`2V^(2)`

D

4V

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `T_(2) = 2T_(1)` and `P_(2) = (P_(1))/(2) V_(1) = V, V_(2) = ?` Final volume,
`:. V_(2) = (P_(1)V_(1))/(T_(1)) xx (T_(2))/(P_(2)) = (P_(1)V)/(T_(1)) xx (2T_(1))/(P_(1)//2) = 4V`
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