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. `2//P`
D. `8//P`

Answer

C

Explanation

`PV=nRT` or `P=(nRT)/(V)` or `PpropT`
If `V` and `n` are same. Therefore, if `T` is doubled, pressure also becomes two times, i.e., `2P` .