A vessel is filled with an ideal gas at a pressure of `10` atmospheres and temp `27^(0)C`. Half of the mass of the gas is removed from the vessel the temperature of the remaining gas is increased to `87^(0)C`. Then the pressure of the gas in the vessel will be

Options

A. 5 atm
B. 6 atm
C. 7 atm
D. 8 atm

Answer

B

Explanation

Ideal gas equation,
`pV = n RT`
`(p V)/( T) = n R = (m)/(M ) R`
`( m )/(M )R = ( 10 xx V)/( 300)`
`(m)/(2M) R = ( pV)/(360)`
`(pV)/( 360) = (1)/(2) (10V)/( 300)`
`p = ( 3600)/(2 xx 300) = 6` atm