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# 25ml of a solution containing HCl and $H_2SO_4$ required for neutralized 24.10ml of N/2 caustic soda solution.25ml of the same solution on precipitation with $BaCl_2$ yielded 0.5218gm $BaSO_4$.What wt of each acid is contained in one litre of the solution?

$(a)\;10.5g/l,9.5g/l\qquad(b)\;11.05g/l,8.76g/l\qquad(c)\;10.25g/l,10g/l\qquad(d)\;12g/l,7g/l$

Caustic soda reacts with both HCl and $H_2SO_4$ whereas $BaCl_2$ reacts with only $H_2SO_4$ to precipitate out $BaSO_4$
Meq of $H_2SO_4$=Meq of $BaSO_4$
Meq of $H_2SO_4=\large\frac{0.5218}{\Large\frac{233.4}{2}}$$\times 1000=4.47 (E of BaSO_4=\large\frac{233.4}{2}) Let x=Meq of HCl in the sample (Meq of HCl+Meq of H_2SO_4)=Meq of NaOH \Rightarrow x+4.47=\large\frac{1}{2}$$\times 24.10\Rightarrow x=7.58$
$\Rightarrow \large\frac{g}{36.5}$$\times 1000=7.58 \Rightarrow g=0.2767gm This is the wt of HCl in 25ml Wt of HCl in 1L=\large\frac{1000}{25}$$\times 0.2767$
$\Rightarrow 11.05g/l$
Similarly,mass of $H_2SO_4$ from this meq=(4.47),in 1L of sample=8.76g/l