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AP EAMCET · Chemistry · Thermodynamics (C)

For the reaction, \(\mathrm{N}_2 \mathrm{O}_4(g) \rightleftharpoons 2 \mathrm{NO}_2(g)\), if dinitrogen tetroxide is \(50 \%\) dissociated at \(60^{\circ} \mathrm{C}\), the standard free energy change at this temperature and \(1 \mathrm{~atm}\) pressure is

  1. A \(-367.8 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
  2. B \(-763.8 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
  3. C \(-867 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
  4. D \(-249 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(-763.8 \mathrm{~kJ} \mathrm{~mol}^{-1}\)

Step-by-step Solution

Detailed explanation

\[ \begin{array}{ccc} (b) & \mathrm{N}_2 \mathrm{O}_4(g) \longrightarrow & \mathrm{NO}_2(g) \\ t=0 & 1 \mathrm{~mol} & 0 \\ t=t_{\mathrm{cq}} & (1-0.5) & 2(0.5) \end{array} \] Total number of moles \(=0.5+1=1.5 \mathrm{~mol}\)…