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During an experiment an ideal gas is found to obey an additional law Vp2 = constant. The gas is initially at temperature T and volume V. When it expands to volume 2V, the resulting temperature is [UP CPMT 2012]

a
T2
b
2T
c
2T
d
T2

detailed solution

Correct option is C

pV = RT = constant⇒  p=RTV               Vp2 = constant⇒  VRTV2= constant ⇒    R2T2V= constant ⇒      T2V= constant ⇒T2V=T22V⇒      T'2=2T2⇒T'=2T

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