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Chemistry · THERMODYNAMICS

हिन्दी

Consider the formation of ammonia: \( \frac{1}{2}\text{N}_2(g) + \frac{3}{2}\text{H}_2(g) \rightarrow \text{NH}_3(g) \); \( \Delta_r H^\ominus = -46.1\text{ kJ mol}^{-1} \). What is the enthalpy change accompanying the complete decomposition of \( 68\text{ g} \) of gaseous ammonia into its constituent elements at the same conditions?

  1. \( -184.4\text{ kJ} \)
  2. \( +184.4\text{ kJ} \)
  3. \( +92.2\text{ kJ} \)
  4. \( -92.2\text{ kJ} \)

Correct answer · Option 2

\( +184.4\text{ kJ} \)

Explanation

Moles of \( \text{NH}_3 = \frac{68}{17} = 4\text{ mol} \). Decomposition of 1 mol requires \( +46.1\text{ kJ} \). For 4 mol, \( \Delta H = 4 \times 46.1 = +184.4\text{ kJ} \).
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