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Question: Suppose ideal gas equation follows VP<sup>3</sup> = constant. Initial temperature and volume of the ...

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 –

A

T

B

9T

C

27 T

D

T/9

Answer

9T

Explanation

Solution

VP3 = constant , P = nRTV\frac { \mathrm { nRT } } { \mathrm { V } }

\V= constant ̃ T3V2\mathrm { T } ^ { 3 } \propto \mathrm { V } ^ { 2 }