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Q. $5.0\, g$ of sodium hydroxide (molar mass $40\, g \,mol^{-1}$) is dissolved in little quantity of water and the solution is diluted up to $100\, ml$. What is the molarity of the resulting solution ?

MHT CETMHT CET 2016

Solution:

Given, $W$ (mass of solute) $=5.0 g$

$m$ (molar mass of solute) $=40 g mol ^{-1}$

Volume $=100 mL$

Molarity is given as,

$M =\frac{\text { Moles of solute }}{\text { Volume of solution (in L) }}$

$M =\frac{W \times 1000}{m \times \text { Volume of solution (in } mL )}$

$M =\frac{5.0 g \times 1000}{40 \times 100}$

$=1.25\, mol \,dm ^{-3}$