Question

For a given mass of a gas, if pressure is reduced to half and its temperature is doubled, volume

V will become :

(1) 4V (2) 2V2 (3) V/4 (4) 8V​

Answer 1

Answer:

The ideal gas equation is PV=nRT

Hence, V=PnRT ......(1)

Pressure is reduced to half. P′=2P......(2)

Absolute temperature is doubled.

T′=2T......(3)

Substitute (2) and (3) in (1).

V′=(2P)nR(2T)=4PnRT=4 V

Final answer is 4V.