Q.

Which of the following changes cannot increase the volume of a gas by 4 times ?

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a

‘T’ is kept constant, P is decreased to 1/4 th

b

P is kept constant, T is increased by 4 times

c

T is doubled, P is decreased to half

d

‘T’ is halved, P is decreased to half

answer is C.

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Detailed Solution

Given data

V1=V        V2=4V

P1=P      P2=?

T1=T       T2=?

P1V1T1=P2V2T2

PVT=P2V2T2

Case A :

T2=2T,  P2=P2

Then P.VT=P2×V22T

V2=4V

Case B :

P2=P; T2=4T then PVT=PV24T

V2=4V

Case C :

T2=T2, P2=P2 then PVT=P2×V2T×2

V2=V

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