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Chemistry · THERMODYNAMICS

हिन्दी

The standard reaction enthalpy for the decomposition \( \text{CaCO}_3(s) \rightarrow \text{CaO}(s) + \text{CO}_2(g) \) is \( +178.3\text{ kJ mol}^{-1} \). The amount of heat required to decompose 25.0 g of pure \( \text{CaCO}_3(s) \) (molar mass = \( 100\text{ g mol}^{-1} \)) into \( \text{CaO}(s) \) and \( \text{CO}_2(g) \) under standard conditions is:

  1. 44.58 kJ
  2. 89.15 kJ
  3. 178.3 kJ
  4. 22.29 kJ

Correct answer · Option 1

44.58 kJ

Explanation

Moles of \( \text{CaCO}_3 = 25.0 / 100 = 0.25\text{ mol} \). Heat required = \( 0.25 \times 178.3\text{ kJ} = 44.575\text{ kJ} \approx 44.58\text{ kJ} \).
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