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Volume of Gases and Number of Moles

A mixture con...

Question

A mixture containing $0.84 g m$ of $N a H C O_{3}, 4.0 g m$ of $N a O H$ and $10.6 g m$ of $N a_{2} C O_{3}$ is dissolved in water and the resulting solution is titrated with $0.5 M H C l$ solution. Identify the option(s) which is/ are correct.

The volume of

H C l

used when phenolpthalein is used as an indicator is

400 m l

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The volume of

H C l

used when methyl orange is used as an indicator is

400 m l

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The volume of

H C l

further used when methyl orange is used as an indicator in a solution titrated with phenolpthalein is

200 m l

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The volume of

H C l

used when phenolphthalein is used as indicator after titrating with methyl orange is

200 m l

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Solution

The correct option is A The volume of $H C l$ used when phenolpthalein is used as an indicator is $400 m l$
$0.84 g N a {H C O}_{3} = 0.01$ moles
$4 g N a O H = 0.1$ moles
$10.6 {N a}_{2} {C O}_{3} = 0.1$ moles
with $h p h$ indicator we can detect until $N a O H$ consumed and ${N a}_{2} {C O}_{3} \to {N a H C O}_{3}$ conversion.
Hence $\Rightarrow 0.2$ moles of acid needed
$0.2 = 0.5 \times V_{l i t} V_{l i t} = 0.4 l i t$
$= 400 m l$
With methyl orange we detect total conversion
$\Rightarrow (0.1) + (0.01) + (0.1) \times 2 = 0.31$
$0.31 = 0.5 M \times v_{l i t}$
$v_{l i t} = 0.62$ lit
$= 620 m l$

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Similar questions

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Q. A 20 ml solution of 0.1 N

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A mixture containing 0.84 gm of NaHCO3,4.0 gm of NaOH and 10.6 gm of Na2CO3 is dissolved in water and the resulting solution is titrated with 0.5 M HCl solution. Identify the option(s) which is/ are correct.

A mixture containing $0.84 g m$ of $N a H C O_{3}, 4.0 g m$ of $N a O H$ and $10.6 g m$ of $N a_{2} C O_{3}$ is dissolved in water and the resulting solution is titrated with $0.5 M H C l$ solution. Identify the option(s) which is/ are correct.