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Standard XII

Chemistry

Molarity

Two samples o...

Question

Two samples of HCl of $1.0$ M and $0.25$ M are mixed. Find volumes of these samples taken in order to prepare $0.75$ M HCl solution. Assume no water is added.
(I) $20$ mL, $10$ mL (II) $100$ mL, $50$ mL (III) $40$ mL, $20$ mL (IV) $50$ mL, $25$ mL

I, II, IV

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I, II

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II, III, IV

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I, II, III, IV

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Solution

The correct option is C I, II, III, IV
$M_{1} = 1.0 M, M_{2} = 0.25 M$
Let $V_{1}$ and $V_{2}$ are volumes required.
$(1.0 \times V_{1} + 0.25 \times V_{2}) = 0.75 (V_{1} + V_{2})$
$\Rightarrow 0.25 V_{1} = 0.5 V_{2}, \Rightarrow V_{1} : V_{2} = 2 : 1$

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Two samples of HCl of 1.0 M and 0.25 M are mixed. Find volumes of these samples taken in order to prepare 0.75 M HCl solution. Assume no water is added.(I) 20 mL, 10 mL (II) 100 mL, 50 mL (III) 40 mL, 20 mL (IV) 50 mL, 25 mL

The correct option is C I, II, III, IVM1=1.0M,M2=0.25MLet V1 and V2 are volumes required.(1.0×V1+0.25×V2)=0.75(V1+V2)⇒0.25V1=0.5V2,⇒V1:V2=2:1

Two samples of HCl of $1.0$ M and $0.25$ M are mixed. Find volumes of these samples taken in order to prepare $0.75$ M HCl solution. Assume no water is added.
(I) $20$ mL, $10$ mL (II) $100$ mL, $50$ mL (III) $40$ mL, $20$ mL (IV) $50$ mL, $25$ mL

The correct option is C I, II, III, IV
$M_{1} = 1.0 M, M_{2} = 0.25 M$
Let $V_{1}$ and $V_{2}$ are volumes required.
$(1.0 \times V_{1} + 0.25 \times V_{2}) = 0.75 (V_{1} + V_{2})$
$\Rightarrow 0.25 V_{1} = 0.5 V_{2}, \Rightarrow V_{1} : V_{2} = 2 : 1$