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AP EAMCET · Chemistry · Thermodynamics (C)

The heat liberated when \(1.89 \mathrm{~g}\) of benzoic acid is burnt in a bomb calorimeter at \(25^{\circ} \mathrm{C}\) increases the temperature of \(18.94 \mathrm{~kg}\) of water by \(0.632^{\circ} \mathrm{C}\). If the specific heat of water at \(25^{\circ} \mathrm{C}\) is \(0.998 \mathrm{cal} /\left(\mathrm{g}^{\circ} \mathrm{C}\right)\), then find the heat of combustion of benzoic acid.

  1. A \(2540 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
  2. B \(1975 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
  3. C \(3240 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
  4. D \(2825 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(3240 \mathrm{~kJ} \mathrm{~mol}^{-1}\)

Step-by-step Solution

Detailed explanation

Mass of benzoic acid \(=1.89 \mathrm{~g}\) Temperature \(=25^{\circ} \mathrm{C}=298 \mathrm{~K}\) Mass of water \(=18.94 \mathrm{~kg}\) Increase in temperature \((\Delta t)=0.632^{\circ} \mathrm{C}\) Specific heat of…
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