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Question: Answered & Verified by Expert
Calculate the enthalpy change when \( 50 \mathrm{~mL} \) of \( 0.01 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2} \) reacts with \( 25 \mathrm{~mL} \) of \( 0.01 \mathrm{M} \mathrm{HCl} \). Given that, \( \Delta \mathrm{H}^{\circ} \) of neutralization of a strong acid and a strong base is \( 140 \mathrm{kcal} \mathrm{mol}^{-1} \).
ChemistryThermodynamics (C)JEE Main
Options:
  • A \( 14 \mathrm{kcal} \)
  • B \( 35 \mathrm{cal} \)
  • C \( 10 \mathrm{cal} \)
  • D \( 7.5 \mathrm{cal} \)
Solution:
2088 Upvotes Verified Answer
The correct answer is: \( 35 \mathrm{cal} \)

Number of moles of HCl =MV1000=0.01×251000=25×10-5
HClH++Cl-

Moles of H+=25×10-5
Number of moles of CaOH2=MV1000=0.01×501000=50×10-5
Moles of OH-=2×50×10-5=10-3
In the process of neutralization, 25×10-5 moles of H+ will be completely neutralized.
H=140×25×10-5 kcal=0.035 kcal=35 cal

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