Solutions Question 23
Question: A 5 molar solution of $ H_2SO_4 $ is diluted from 1 litre to 10 litres. What is the normality of the solution [AFMC 2005]
Options:
A) 0.25 N
B) 1 N
C) 2 N
D) 7 N
Show Answer
Answer:
Correct Answer: B
Solution:
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First, let’s recall the relationship between molarity (M) and normality (N) for $ H_2SO_4 $: N = M × number of H⁺ ions For $ H_2SO_4 $, there are 2 H⁺ ions per molecule, so N = 2M
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Initially, we have a 5 molar solution of $ H_2SO_4 $. So: Initial normality = 2 × 5 = 10 N
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The solution is diluted from 1 litre to 10 litres. This is a 10-fold dilution.
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When a solution is diluted, the following relation holds: C₁V₁ = C₂V₂ Where C is concentration and V is volume
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In terms of normality: 10 N × 1 L = x N × 10 L Where x is the final normality we’re looking for
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Solving for x: 10 = 10x x = 1
Therefore, the normality of the diluted solution is 1 N.
The correct answer is B) 1 N.
BETA
