An open steel vessel has an ideal gas at `27^@C`. What fraction of the gas is escaped if the vessel and its contents are heated to `127^@C`? (neglect the expansion of steel)

Explanation

Let one mole of the gas is taken in the vessel of constant volume (V). From the ideal gas equation, at two conditions of temperature, `n_(1)T_(1) = n_(2)T_(2)`
`1 xx 300 = n_(2) xx 400`
Number of moles finally left in the vessel `(n_(2))`
`n_(2) = (300)/(400) =(3)/(4)`
THe fraction of gas escaped from the vessel upon heating ` = 1-3//4 = 1//4`