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Q.

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]

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a

T2

b

2T

c

2T

d

T2

answer is C.

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Detailed Solution

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

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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]