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Some Basic Concepts of Chemistry question

2013 · Shift 0 · Q16

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Chemistry
Some Basic Concepts of Chemistry
2013 · Shift 0 · Q16

Some Basic Concepts of Chemistry question

2013 · Shift 0 · Q16

JEE MainChemistrySome Basic Concepts of ChemistryMCQ+4 / −1

The molarity of a solution obtained by mixing 750 mL of 0.5 (M) HCl with 250 mL of 2(M) HCl will be:

A
1.00 M
B
1. 75 M
C
0.975 M
D
0.875 M

View written solutionFree

Correct answer: D

Use the formula for molarity after mixing

For solutions of the same solute, total moles are added:

$n_{\text{total}} = n_1 + n_2 = M_1V_1 + M_2V_2$

and final molarity is

$M_{\text{final}} = \frac{n_{\text{total}}}{V_{\text{total}}}$

Make sure volume is in liters.

Convert volumes to liters

$750\,\text{mL} = 0.750\,\text{L}$ $250\,\text{mL} = 0.250\,\text{L}$

Calculate moles of HCl in each solution

For the first solution:

$n_1 = M_1V_1 = 0.5 \times 0.750 = 0.375\,\text{mol}$

For the second solution:

$n_2 = M_2V_2 = 2.0 \times 0.250 = 0.500\,\text{mol}$

Find total moles

$n_{\text{total}} = 0.375 + 0.500 = 0.875\,\text{mol}$

Find total volume

$V_{\text{total}} = 0.750 + 0.250 = 1.000\,\text{L}$

Calculate final molarity

$M_{\text{final}} = \frac{0.875}{1.000} = 0.875\,\text{M}$

Match with the options

$0.875\,\text{M}$ corresponds to Option D.

Comparison with stored correct answer:

Stored correct answer = D

Derived answer = D

So, the derived answer agrees with the stored correct answer.

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