Some Basic Concepts Of Chemistry Question 40

Question: The concentrated sulphuric acid that is peddled commercial is 95% $ H _2SO _4 $ by weight. If the density of this commercial acid is $ 1.834gc{m^{-3}} $ , the molarity of this solution is

Options:

A) 17.8 M

B) 12.0.M

C) 10.5 M

D) 15.7 M

Show Answer

Answer:

Correct Answer: A

Solution:

[a] 95% $ H _2SO _4 $ by weight means 100g $ H _2SO _4 $ solution contains 95g $ H _2SO _4 $ by mass. Molar mass of $ H _2SO _4~=98gmo{l^{-1}} $ Moles in $ 95g=\frac{95}{98}=0.969 $ mole Volume of $ 100g,H _2SO _4 $ $ =\frac{mass}{density}=\frac{100g}{1.834gc{m^{-3}}} $

$ =54.52cm^{3}=54.52\times {10^{-3}}L $

$ Molarity=\frac{\text{Moles of}solute}{\text{Voime of solute in L}} $

$ =\frac{0.969}{54.52\times {10^{-3}}}=17.8M $



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