A student forgot to add the reaction mixture to the round bottomed flask at `27^@C` but instead he/she placed the flask on the flame . After a lapse of time, he realized his mistake, and using a pyrometer the found the temperature of the flask was `477^@C`. What fraction of air would have been expelled out?

Explanation

formula :
`T_1 = 27 ^@C C- 300 K`
`T_2 = 477^@ C = 750 K`
` (V_1)/(T_1) = (V_2)/(T_2)`
` (V_1 )/(300 ) = (V_2)/(750 )`
` V_2 = ( 750 xx V_1)/(300 )`
` V_2 = 2.5 V_1`
The volume of air expelled ` =V_2 -V_1 `
` = 2.5 V_1 -V_1 `
` =1.5 V_1 `
Fraction of air expelled out
` =( 1.5 V_1 )/( 2.5 V_1 ) = ( 1.5 )/( 2.5 ) = ( 15 )/(25 ) = 3/5`