Calculate the moles of ${\mathrm{BaSO}}_4$obtained in each case if excess of${\mathrm{BaCl}}_2$ is reacted with :

(a) ${\mathrm{H}}_2{\mathrm{SO}}_4$solution produced from collecting only ${\mathrm{SO}}_3$ present in 100 gm of 104.5 % oleum and reacted with excess of water.

(b) Only ${\mathrm{H}}_2{\mathrm{SO}}_4$taken from 100 ~ 104.5 % oleum 

(c) ${\mathrm{H}}_2{\mathrm{SO}}_4$solution obtained when 4.5 g water is added to 100 gm oleum labelled as 104.5%.
Write the nearest integral value of (a) + (b) + (c) .