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For the reaction $$\frac{1}{3}N_2(g) + H_2(g) \rightleftharpoons \frac{2}{3}NH_3(g)$$, the magnitude of K<sub>c</sub> at 25 °C is: A - VCE - SSCE Chemistry - Question 14 - 2020 - Paper 1

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For-the-reaction--$$\frac{1}{3}N_2(g)-+-H_2(g)-\rightleftharpoons-\frac{2}{3}NH_3(g)$$,-the-magnitude-of-K<sub>c</sub>-at-25-°C-is:--A-VCE-SSCE Chemistry-Question 14-2020-Paper 1.png

For the reaction $$\frac{1}{3}N_2(g) + H_2(g) \rightleftharpoons \frac{2}{3}NH_3(g)$$, the magnitude of K<sub>c</sub> at 25 °C is: A. 9 and ΔH = –30.8 kJ mol<sup>–... show full transcript

Worked Solution & Example Answer:For the reaction $$\frac{1}{3}N_2(g) + H_2(g) \rightleftharpoons \frac{2}{3}NH_3(g)$$, the magnitude of K<sub>c</sub> at 25 °C is: A - VCE - SSCE Chemistry - Question 14 - 2020 - Paper 1

Step 1

Calculate K<sub>c</sub> at 25 °C

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Answer

For the given reaction, the equilibrium constant K<sub>c</sub> can be determined from the provided options. The values suggest that the reaction favors product formation at equilibrium. Thus, we can eliminate the options with lower K<sub>c</sub> values.

Among the choices:

  • A presents K<sub>c</sub> = 9, which may not indicate a strong product favoring.
  • B has K<sub>c</sub> = 213, indicating significant product formation.
  • C states K<sub>c</sub> = 640, suggesting a strong product favoring.
  • D also shows K<sub>c</sub> = 640, but with a different ΔH.

Considering that lower ΔH values would indicate exothermic reactions and align more with the larger K<sub>c</sub>, both B and C remain relevant.

Therefore, upon review, the correct answer is B: 213 and ΔH = –30.8 kJ mol<sup>–1</sup>, as it aligns with expected equilibrium conditions.

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