Thermodynamics and ThermochemistryhardMCQ SINGLE

A solution of 500 ml of 2 M-KOH is added to 500 ml of 2 M-HCl and the mixture is well shaken. The riThermodynamics and Thermochemistry Chemistry Question

Question

A solution of 500 ml of 2 M-KOH is added to 500 ml of 2 M-HCl and the mixture is well shaken. The rise in temperature $T_1$ is noted. The experiment is again performed using 250 ml of KOH solution and 500 ml of HCl solution and rise in temperature $T_2$ is again noted. Which of the following is correct?

Answer: D

💡 Solution & Explanation

Exp 1: 1 mole $\text{OH}^-$ + 1 mole $\text{H}^+ \to$ 1 mole water. Total volume = 1000 mL. $T_1 \propto 1/1000$. Exp 2: 0.5 mole $\text{OH}^-$ + 1 mole $\text{H}^+ \to$ 0.5 mole water (KOH is limiting). Total volume = 750 mL. $T_2 \propto 0.5/750 = 1/1500$. Ratio $T_1/T_2 = (1/1000) / (1/1500) = 1.5$. Thus $T_1$ is 1.5 times larger.

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