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Q.7 g NaOH is dissolved in 400 mL solution. The molarity of solution is:

(a) 0.437 mol L−10.437\ \text{mol L}^{-1}
(b) 0.496 mol L−10.496\ \text{mol L}^{-1}
(c) 0.546 mol L−10.546\ \text{mol L}^{-1}
(d) 0.637 mol L−10.637\ \text{mol L}^{-1}
Uttar Pradesh UpmspUP Board (UPMSP) Intermediate 2022MCQ· 1mImportance★★★★★
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Molarity =moles of solutevolume of solution in litres=0.1750.400=0.437 mol L−1=\dfrac{\text{moles of solute}}{\text{volume of solution in litres}}=\dfrac{0.175}{0.400}=0.437\ \text{mol L}^{-1}.

Concept — molarity is the number of moles of solute dissolved per litre of solution: M=nV(L)M=\dfrac{n}{V(\text{L})}. First convert the mass of NaOH to moles, then divide by the volume in litres.

Step 1 — moles of NaOH (molar mass =23+16+1=40 g mol−1=23+16+1=40\ \text{g mol}^{-1}):

n=7 g40 g mol−1=0.175 moln=\frac{7\ \text{g}}{40\ \text{g mol}^{-1}}=0.175\ \text{mol}

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