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Some Basic Concepts of Chemistry question

2021 · 26 Aug · Shift 1 · Q22
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Some Basic Concepts of Chemistry question

2021 · 26 Aug · Shift 1 · Q22

JEE MainChemistrySome Basic Concepts of ChemistryNumerical+4 / −1
An aqueous KCl solution of density 1.20 g mL −-− 1 has a molality of 3.30 mol kg −-− 1. The molarity of the solution in mol L −-− 1 is ‾\underline{\hspace{2cm}}​ (Nearest integer) [Molar mass of KCl = 74.5]
Numerical answer
View written solutionFree

Correct answer: 3

  1. Given data
  • Density of solution =1.20 g mL−1= 1.20\ \text{g mL}^{-1}=1.20 g mL−1
  • Molality m=3.30 mol kg−1m = 3.30\ \text{mol kg}^{-1}m=3.30 mol kg−1
  • Molar mass of KCl =74.5 g mol−1= 74.5\ \text{g mol}^{-1}=74.5 g mol−1

We need to find molarity MMM in mol L−1\text{mol L}^{-1}mol L−1.


  1. Take 1 kg of solvent

Since molality is defined as moles of solute per kg of solvent,

m=moles of solutekg of solvent=3.30m = \frac{\text{moles of solute}}{\text{kg of solvent}} = 3.30m=kg of solventmoles of solute​=3.30

So, for 1 kg1\ \text{kg}1 kg of water (solvent), moles of KCl dissolved are:

nKCl=3.30 moln_{\text{KCl}} = 3.30\ \text{mol}nKCl​=3.30 mol


  1. Find mass of solute

Mass of KCl=3.30×74.5=245.85 g\text{Mass of KCl} = 3.30 \times 74.5 = 245.85\ \text{g}Mass of KCl=3.30×74.5=245.85 g


  1. Find total mass of solution

Mass of solvent =1000 g= 1000\ \text{g}=1000 g

So,

Mass of solution=1000+245.85=1245.85 g\text{Mass of solution} = 1000 + 245.85 = 1245.85\ \text{g}Mass of solution=1000+245.85=1245.85 g


  1. Convert mass of solution to volume using density

Density =1.20 g mL−1= 1.20\ \text{g mL}^{-1}=1.20 g mL−1

Volume of solution=1245.851.20=1038.21 mL\text{Volume of solution} = \frac{1245.85}{1.20} = 1038.21\ \text{mL}Volume of solution=1.201245.85​=1038.21 mL

=1.03821 L= 1.03821\ \text{L}=1.03821 L


  1. Calculate molarity

M=moles of solutevolume of solution in LM = \frac{\text{moles of solute}}{\text{volume of solution in L}}M=volume of solution in Lmoles of solute​

M=3.301.03821≈3.18 mol L−1M = \frac{3.30}{1.03821} \approx 3.18\ \text{mol L}^{-1}M=1.038213.30​≈3.18 mol L−1

Nearest integer:

3\boxed{3}3​


  1. Comparison with stored answer

Derived answer = 333

Stored correct answer = 333

So they agree.

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