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# A gas obeys  ${\text{PV}}^{\text{2}}$=constant in addition to PV=RT. If on heating, the temperature is doubled. The volume of the gas is

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a
V2
b
2 V
c
V/2
d
2 V
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detailed solution

Correct option is A

given PV2=constant-----(1)here P is pressure; V is volume; R is universal gas constant; T is temperature of gasalso given PV=RT ⇒P=RTV---(2)substitute eqn(2) in eqn(1)⇒RTVV2=constant ⇒TV=constant  because R is constantTα1V for two different temperatures of same gas T1T2=V2V1 given T1=T; T2=2T; let V1=V substitute in above equation V2=V2=final volume of gas

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