The concentrated sulphuric acid that is peddl | vedclass

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Question

(A) $95\%\, H_2SO_4$ by weight means $100\, g$ of $H_2SO_4$ solution contains $95\, g$ of $H_2SO_4$ by mass.Molar mass of $H_2SO_4 = 98\, g\, mol^{-1}

Vedclass · Accepted Answer

$17.8$

Vedclass · Answer

(A) $95\%\, H_2SO_4$ by weight means $100\, g$ of $H_2SO_4$ solution contains $95\, g$ of $H_2SO_4$ by mass.Molar mass of $H_2SO_4 = 98\, g\, mol^{-1}$.Moles of $H_2SO_4 = \frac{95\, g}{98\, g\, mol^{-1}} = 0.969\, mol$.Volume of $100\, g$ of $H_2SO_4$ solution $= \frac{	ext{mass}}{	ext{density}} = \frac{100\, g}{1.834\, g\, cm^{-3}} = 54.52\, cm^3 = 0.05452\, L$.Molarity $(M) = \frac{	ext{Moles of solute}}{	ext{Volume of solution in } L} = \frac{0.969\, mol}{0.05452\, L} \approx 17.8\, M$.

The concentrated sulphuric acid that is peddled commercially is $95\%\, H_2SO_4$ by weight. If the density of this commercial acid is $1.834\, g\, cm^{-3},$ the molarity of this solution is ........... $M$.

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