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=nRT`
`(pV)/(T)=nR=m/MR`
`m/MR=(10xxV)/(300)`
`(m)/(2M)R=(pV)/(360)`
`(pV)/(360)=1/2(10V)/(300)`
`p=(3600)/(2xx300)=6` atm