1 mole hydrogen and 2 moles oxygen are filled in neigboring parts of a vessel as shown . The piston is in equilibrium. The piston is adiabatic but can slide inside without friction. When temperature of `H_2 ` is `27^@C` and temperature of `O_2` is `127^@C`. The volume of the vessel is 11 litre. What is the volume (in litre) of hydrogen.

Answer

3

Explanation

`p=(n_(1)RT_(1))/(V_(1))=(n_(2)RT_(2))/(V_(2))`
`(1xx25/3xx300)/(V_(1))=(2xx25/3xx400)/(V-V_(1))`
`300V-300V_(1)=8V_(1)`
`3V=11V_(1)`
`V_(1)=(3V)/11=3` litre