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Concentration Terms

A mixture of ...

Question

A mixture of $N a H C_{2} O_{4}$ and $K H C_{2} O_{4} . H_{2} C_{2} O_{4}$ required equal volumes of $0.2 N$ $K M n O_{4}$ and 0.12 N NaOH separately. What is the molar ratio of $N a H C_{2} O_{4}$ and $K H C_{2} O_{4} . H_{2} C_{2} O_{4}$ in the mixture?

A

6 : 1

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B

1 : 6

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C

1 : 3

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D

3 : 1

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Solution

The correct option is D 3 : 1
Let the moles of $N a H C_{2} O_{4}$ be 'a' and that of $K H C_{2} O_{4} . H_{2} C_{2} O_{4}$ be 'b' and volumes of each consumed be V litre
In redox:
When $K M n O_{4}$ used : $0.2 \times V = 2 a + 4 b$ ...........(1)
In acid - base neutralization
when $N a O H$ used : $0.12 \times V = a + 3 b$ ........(2)
from (1) and (2)
$a = 0.06 V$
$b = 0.02 V$
or $a : b = 3 : 1$

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