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Q. The option that represents correct molarity (M) and molality (m) respectively for HCl solution, if $36.5\%$ $HCl$ solution has a density equal to $1.2gml^{- 1}$ is:

NTA AbhyasNTA Abhyas 2020Some Basic Concepts of Chemistry

Solution:

The relation between Molarity $\left(M\right)$ and $\%$ mass:

The relation between molality $( m )$ and $\operatorname{mass}(\%):$ $m =\frac{( w / w \%) \times 100}{ M _{2} \times(100- w / w \%)} m =\frac{36.5 \times 1000}{36.5 \times(100-36.5)}=\frac{1000}{63.5}=15.7 \,m$