Given
(i) C (graphite) + \(\mathrm{O_2(g)} \to \mathrm{CO_2(g)}\); \(\Delta_rH^{\ominus} = x\ \mathrm{kJ\ mol^{-1}}\)
(ii) C (graphite) + \(\frac{1}{2}\mathrm{O_2(g)} \to \mathrm{CO(g)}\); \(\Delta_rH^{\ominus} = y\ \mathrm{kJ\ mol^{-1}}\)
(iii) CO(g) + \(\frac{1}{2}\mathrm{O_2(g)} \to \mathrm{CO_2(g)}\); \(\Delta_rH^{\ominus} = z\ \mathrm{kJ\ mol^{-1}}\)
Based on the above thermochemical equations, find out which one of the following algebraic relationships is correct?
(i) C (graphite) + \(\mathrm{O_2(g)} \to \mathrm{CO_2(g)}\); \(\Delta_rH^{\ominus} = x\ \mathrm{kJ\ mol^{-1}}\)
(ii) C (graphite) + \(\frac{1}{2}\mathrm{O_2(g)} \to \mathrm{CO(g)}\); \(\Delta_rH^{\ominus} = y\ \mathrm{kJ\ mol^{-1}}\)
(iii) CO(g) + \(\frac{1}{2}\mathrm{O_2(g)} \to \mathrm{CO_2(g)}\); \(\Delta_rH^{\ominus} = z\ \mathrm{kJ\ mol^{-1}}\)
Based on the above thermochemical equations, find out which one of the following algebraic relationships is correct?
Show Hint
- \(z = x + y\)
- \(x = y + z\)
- \(x = y - z\)
- \(y = 2z - x\)
The Correct Option is B
Solution and Explanation
By Hess law, \(\Delta H_{(i)} = \Delta H_{(ii)} + \Delta H_{(iii)}\), so \(x = y + z\).
Answer: (2) \(x = y + z\)
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