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NEET 2006
Exam
NEET
Year
2006
Subject
Chemistry
Chapter
Chemical Equilibrium

NEET 2006 · Chemistry · Chemical Equilibrium

For the reaction: CH_ 4(g) +2 O_ 2(g) leftharpoons CO_ 2(g) +2 H_2...

For the reaction: CH4(g)+2O2(g)⇌CO2(g)+2H2O(l)\mathrm{CH}_{4(g)}+2 \mathrm{O}_{2(g)} \rightleftharpoons \mathrm{CO}_{2(g)}+2 \mathrm{H}_2 \mathrm{O}(l) ΔHr=−170.8 kJ mol−1\Delta \mathrm{H}_r=-170.8 \mathrm{~kJ} \mathrm{~mol}^{-1}. Which of the following statements is not true?

Options

  1. AThe reaction is exothermic
  2. BAt equilibrium, the concentrations of CO2(g)\mathrm{CO}_{2(g)} and H2O(h)\mathrm{H}_2 \mathrm{O}_{(h)} are not equal
  3. CThe equilibrium constant for the reaction is given by \mathrm{K}_p=\frac{\left[\mathrm{\text{ CO }}_2\right]}{\left[\mathrm{CH}_4\right]\left[\mathrm{O}_2\right]}
  4. DAddition of CH4(g)\mathrm{CH}_{4(g)} or O2(g)\mathrm{O}_{2(g)} at equilibrium will cause a shift to the right

Correct answer

C. The equilibrium constant for the reaction is given by \mathrm{K}_p=\frac{\left[\mathrm{\text{ CO }}_2\right]}{\left[\mathrm{CH}_4\right]\left[\mathrm{O}_2\right]}

Step-by-step solution

For the reaction, CH4( g)+2O2( g)→CO2( g)+2H2O(I)ΔHr=−170.8 kJ mol−1\begin{gathered} \mathrm{CH}_{4(\mathrm{~g})}+2 \mathrm{O}_{2(\mathrm{~g})} \rightarrow \mathrm{CO}_{2(\mathrm{~g})}+2 \mathrm{H}_2 \mathrm{O}_{(\mathrm{I})} \\ \Delta \mathrm{H}_r=-170.8 \mathrm{~kJ} \mathrm{~mol}^{-1} \end{gathered} From the above reaction, Kc=[CO2][CH4][O2]2Kp=PCO2PCH4×PO22\mathrm{K}_c=\frac{\left[\mathrm{CO}_2\right]}{\left[\mathrm{CH}_4\right]\left[\mathrm{O}_2\right]^2} \mathrm{K}_p=\frac{\mathrm{P}_{\mathrm{CO}_2}}{\mathrm{P}_{\mathrm{CH}_4} \times \mathrm{P}_{\mathrm{O}_2^2}} So, \quad \mathrm{K}_p=\frac{\left[\mathrm{\text{ CO }}_2\right]}{\left[\mathrm{CH}_4\right]\left[\mathrm{O}_2\right]^2} is incorrect.
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