Q.

Suppose ideal gas equation follows VP3 = constant. Initial temperature and volume of the gas are T and V respectively. If gas expand to 27V then its temperature will become

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a

T

b

9T

c

27T

d

T9

answer is B.

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Detailed Solution

VP3 = constant = k ⇒ P = kV13Also PV = μRT ⇒ P = kV13.V = μRT ⇒ V23 = μRTkHence (V1V2)23 = T1T2 ⇒ (V27V)23 = TT2⇒ T2 = 9T
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Suppose ideal gas equation follows VP3 = constant. Initial temperature and volume of the gas are T and V respectively. If gas expand to 27V then its temperature will become