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The concentrated sulphuric acid that is peddled commercial is 95% H2SO4 by weight.

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The concentrated sulphuric acid that is peddled commercial is 95% H2SO4 by weight. If the density of this commercial acid is 1.834 g cm-3, the molarity of this solution is

(a) 17.8 M

(b) 12.0 M

(c) 10.5 M

(d) 15.7 M

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Correct answer: (a) 17.8 M

Explanation:

95% H2SO4 by weight means 100g H2SO4 solution contains 95g H2SO4 by mass.

Molar mass of H2SO4 = 98g mol-1

Moles in 95g = \(\frac{95}{98}\) = 0.969 mole

Volume of 100g H2SO4

= \(\frac{mass}{density}\) = \(\frac{100g}{1.834g\;cm^{-3}}\)

= 54.52 cm3 = 54.52 × 10-3 L

Molarity = \(\frac{Moles \; of\;solute}{Volume\;of\;solute\;in\;L}\)

= \(\frac{0.969}{54.52\times 10^{-3}}\)

= 17.8M

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