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AIIMS 2011
Exam
AIIMS
Year
2011
Subject
Chemistry
Chapter
Thermodynamics (C)

AIIMS 2011 · Chemistry · Thermodynamics (C)

The enthalpy of formation of CO_ (g) , CO_ 2(g), N_2 O_ (g) and N_2...

The enthalpy of formation of CO(g),CO2(g),\mathrm{CO}_{(g)}, \mathrm{CO}_{2(g),} N2O(g)\mathrm{N}_2 \mathrm{O}_{(g)} and N2O4(g)\mathrm{N}_2 \mathrm{O}_{4(g)} is −110,−393,+811-110,-393,+811 and 10 kJ/mol10 \mathrm{~kJ} / \mathrm{mol} respectively. For the reaction, N2O4(g)+3CO(g)→N2O(g)+3CO2(g);ΔHr( kJ/mol)\mathrm{N}_2 \mathrm{O}_{4(g)}+3 \mathrm{CO}_{(g)} \rightarrow \mathrm{N}_2 \mathrm{O}_{(g)}+3 \mathrm{CO}_{2(g)} ; \Delta H_r(\mathrm{~kJ} / \mathrm{mol}) is

Options

  1. A-212
  2. B+212
  3. C+48
  4. D-48

Correct answer

D. -48

Step-by-step solution

\begin{aligned}& \mathrm{N}_{2} \mathrm{O}_{4(g)}+3 \mathrm{CO}_{(g)} \longrightarrow \mathrm{N}}_{2} \mathrm{O}_{(g)}+3 \mathrm{CO}_{2(\mathrm{ g})}\\ & \Delta H_{\text{\text{ reaction } }}=\Sigma_{\text{Heat of formation of products }} \\ &-\Sigma_{\text{Heat of formation of reactants }} \end{aligned} \begin{aligned}& \Delta H_{\text{\text{ reaction } }}=\left[\Delta H_f \mathrm{ N}_{2} \mathrm{O}+3 \times \Delta H_f \mathrm{CO}}_{2}\right]- \\ & \quad\left[\Delta H_f \mathrm{ N}_{2} \mathrm{O}}_{4}+3 \times \Delta H_f \mathrm{CO}\right]\\ & \begin{aligned} \Delta H_r & =[+811+3(-393)]-[10+3(-110)] \\ & =[811-1179]-[-320]=-368+320 \\ & =-48 \mathrm{ kJ}/ \mathrm{mol} \end{aligned} \end{aligned}$
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