A vessel contains 1 mole of `O_(2)` gas (molar mass 32) at a temperature T. The preesure of the gas is p. An identical vessel containing one mole of He gas (molar mass 4) at temperatuer 2T has a pressure of

Options

A. p/8
B. p
C. 2p
D. 8p

Answer

C

Explanation

`pV=muRT rArrp prop muT " "(thereforeV and R ="constant")`
`rArr" " (p_(2))/(p_(1))=(mu_(2))/(mu_(1))xx(T_(2))/(T_(1))rArr(P_(He))/P=1/1xx(2T)/TrArrP_(He)=2p`