One litre of helium gas at a pressure `76 cm`. Of Hg and temperature `27^(@)C` is heated till its pressure and volume are double. The final temperature attained by the gas is:

Options

A. `900^(@)C`
B. `927^(@)C`
C. `627^(@)C`
D. `327^(@)C`

Answer

B

Explanation

`(P_(2)V_(2))/(T_(2))=(P_(1)V_(1))/(T_(1))`
`(T_(2))/(P_(2)V_(2))=(T_(1))/(P_(1)V_(1))`
`T_(2)=(P_(2)V_(2))/(P_(1)V_(1))T_(1)`
`T_(2)=(2P_(1)2V_(1))/(P_(1)V_(1))xx300`
`T_(2)=1200K`
`T_(2)=1200-273=927^(@)C`