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JIPMER 2009
Exam
JIPMER
Year
2009
Subject
Chemistry
Chapter
Thermodynamics (C)

JIPMER 2009 · Chemistry · Thermodynamics (C)

The heat of formation of CO(g) and CO_2(~g) are Δ H=-110 and Δ...

The heat of formation of CO(g)\mathrm{CO}(\mathrm{g}) and CO2( g)\mathrm{CO}_2(\mathrm{~g}) are ΔH=−110\Delta H=-110 and ΔH=−393 kJ mol−1\Delta H=-393 \mathrm{~kJ} \mathrm{~mol}^{-1} respectively. What is the heat of reaction (ΔH)(\Delta H) (in kJmol−1\mathrm{kJ} \mathrm{mol}^{-1} ) for the following reaction? CO(g)+12O2( g)⟶CO2( g)\mathrm{CO}(\mathrm{g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \longrightarrow \mathrm{CO}_2(\mathrm{~g})

Options

  1. A-504
  2. B-142.5
  3. C-283
  4. D504

Correct answer

C. -283

Step-by-step solution

C+12O2⟶CO,ΔH=−110kJmol−1… (i) C+O2⟶CO2,ΔH=−393kJmol−1… (ii) \begin{aligned} & \mathrm{C}+\frac{1}{2} \mathrm{O}_2 \longrightarrow \mathrm{CO}, \Delta H=-110 \mathrm{ kJ} \mathrm{ mol}^{-1} \ldots \text{ (i) } \\ & \mathrm{C}+\mathrm{O}_2 \longrightarrow \mathrm{CO}_2, \quad \Delta H=-393 \mathrm{ kJ} \mathrm{ mol}^{-1} \\ & \ldots \text{ (ii) } \end{aligned} On subtracting Eq. (i) from Eq. (ii), we get CO+12O2⟶CO2ΔH=393−(−110)=−283kJmol−1\begin{aligned} \mathrm{CO} & +\frac{1}{2} \mathrm{O}_2 \longrightarrow \mathrm{CO}_2 \\ \Delta H & =393-(-110) \\ & =-283 \mathrm{ kJ} \mathrm{ mol}^{-1} \end{aligned}
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