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Practice question

Question

For the reaction 2CO(g) + Oâ‚‚(g) <=> 2COâ‚‚(g), K_c = 25 at 1000 K. If initial concentrations are [CO] = 0.2 M and [Oâ‚‚] = 0.1 M, what is [COâ‚‚] at equilibrium?

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Explanation

Given: For the reaction 2CO(g) + O₂(g) <=> 2CO₂(g), K_c = 25 at 1000 K. If initial concentrations are [CO] = 0.2 M and [O₂] = 0.1 M, what is [CO₂] at equilibrium? These values define the system as per NCERT data. Formula: Let [CO₂] = 2x, then [CO] = 0.2 - 2x, [O₂] = 0.1 - x. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: K_c = frac[CO₂]²[CO]² [O₂] = (2x)²/(0.2 - 2x)² (0.1 - x) = 25 . Assume x approx 0.1 (near completion), adjust: 2x approx 0.18 M (simplified). Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

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