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A \(40 \% \mathrm{HCl}\) solution has density \(1.2 \mathrm{~g} \mathrm{~mL}^{-1}\). The molarity of the solution is nearly ____
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The correct answer is:
\(13 \mathrm{M}\)
As, density (d) of \(\mathrm{HCl}\) solution is given \((p c)\) \(\left(1.2 \mathrm{~g} \mathrm{~mL}^{-1}\right)\), the percentage strength of the solution \((40 \%)\) is of \((w / w)\) type.
\(\begin{aligned}
\Rightarrow \text { Molarity } & =\frac{p c(w / w) \times d\left(\mathrm{~g} \mathrm{~mL}^{-1}\right) \times 10}{M_{\mathrm{HCl}}} \\
& =\frac{40 \times 1.2 \times 10}{36.5}=13.15 \simeq 13 \mathrm{M}
\end{aligned}\)
\(\begin{aligned}
\Rightarrow \text { Molarity } & =\frac{p c(w / w) \times d\left(\mathrm{~g} \mathrm{~mL}^{-1}\right) \times 10}{M_{\mathrm{HCl}}} \\
& =\frac{40 \times 1.2 \times 10}{36.5}=13.15 \simeq 13 \mathrm{M}
\end{aligned}\)
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