When equal volume of 1 M HCl and 1 M are separately neutralised by excess volume of 1 M NaOH solution, x and y kJ of heat is liberated respectively. The value of is

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Solution

Q.
When equal volume of 1 M HCl and 1 M $H_{2} {SO}_{4}$ are separately neutralised by excess volume of 1 M NaOH solution, x and y kJ of heat is liberated respectively. The value of $y / x$ is ________. [2024]

Ans.
(2)

Let 1 L of 1 MHCl and VL of 1 M $H_{2} {SO}_{4}$ are used.

$n_{HCl} = M_{HCl} \times V = 1 \times 1 = 1 mol$

$n_{H_{2} {SO}_{4}} = M_{H_{2} {SO}_{4}} \times V = 1 \times 1 = 1 mol$

Net reaction of NaOH with $H_{2} {SO}_{4}$ results in combination of two moles of $H^{+}$ with two mol of ${OH}^{-}$ whereas, net reaction of NaOH with HCl results in combination of one mol of $H^{+}$ with one mol of ${OH}^{-}$ . Thus y is twice of $x$ . $\frac{y}{x} = 2$

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