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500 mL of 0.2 M KOH and 500 mL of 0.2 M HCl are mixed. The rise in temperature is $T_{1}$ . the experiment is repeated using 250 mL of each solution and the rise in temperature is $T_{2}$ . Which of the following is true?

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$T_{1} = T_{2}$

$T_{1} = 2 T_{2}$

$T_{1} = 4 T_{2}$

$T_{2} = 9 T_{1}$

answer is A.

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Detailed Solution

Suppose heat evolved in first case = $Q_{1}$

Heat evolved in second case = $Q_{2}$

$Then, Q_{2} = \frac{1}{2} Q_{1} but Q_{1} = 1000 T_{1} and Q_{2} = 500 T_{2}$

$∴ 500 T_{2} = \frac{1}{2} 1000 T_{1}, i.e., T_{1} = T_{2}$

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