A vessel contains 1 mole of `O_2` gas (relative molar mass 32) at a temperature T. The pressure of the gas is P. An identical vessel containing one mole of He gas (relative molar mass 4) at temperature 2T has a pressure of

Options

A. `P/8`
B. P
C. 2P
D. 8P

Answer

C

Explanation

`P_(1)V=n_(1)RT_(1)andP_(2)V=n_(2)RT_(2)`
`therefore(P_(2))/(P_(1))=(n_(2))/(n_(1))xx(T_(2))/(T_(1))=1/1xx(2T)/(T)=2`
or `P_(2)=P_(1)xx2=Pxx2=2P`