Basic Maths and Units and DimensionsHard

Question

Suppose ideal gas equation follows VP3 constant. Initial temperature and volume of the gas are T and V respectively if gas expands to 27V then its temperature will become :-

Options

A.T
B.9T
C.27 T
D.T/9

Solution

VP3 = constant = k ⇒ P =
Also PV = μRT ⇒ .V = μRT
⇒  v2/3 = Hence
⇒ T2 = 9 T

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