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Equal volumes of molar hydrochloric acid an sulphuric acid are neutralized by dilute NaOH solution and x kcal and y kcal of heat are liberated respectively. Which of the following is true?

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$x = y$

$x = \frac{1}{2} y$

$x = 2 y$

none of these

answer is B.

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Detailed Solution

$HCl + NaOH \to NaCl + H_{2} O + xKCal$
$H_{2} S O_{4} + 2 N a O H \to N a_{2} S O_{4} + 2 H_{2} O + y K c a l$
$1 molar HCl = 1 g eq of HCl$
$1 molar H_{2} {SO}_{4} = 2 g eq. of H_{2} {SO}_{4}$
$So y = 2 x \Rightarrow x = \frac{1}{2} y$

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