A vessel containing 1 mole of `O_(2)` gas (molar mass 32) at tempeature T. The pressure of the gas is P.An identical vessel containing onle mole of He gas (molar mass 4) at temperature 2 T has a pressure of [2013]

Options

A. `(p)/(8)`
B. p
C. 2p
D. `8 p`

Answer

C

Explanation

Applying gas equation pV=nRT
We can write , `p_(1) V = n_(1)RT_(1)`
and `p_(2) V = n_(2)RT_(2)`
`implies (p_(2))/(p_(1))= (n_(2))/(n_(1))xx(T_(2))/(T_(1))`
`=(1)/(1)xx(2T)/(T) =2`
`implies p_(2) = 2p`