KVPY Sample Paper KVPY Stream-SX Model Paper-28

  • question_answer
    An equilibrium mix. contains \[{{N}_{2}}{{O}_{4}}\] & \[N{{O}_{2}}\] at 0.28 & 1.1 atm. resp. at 300K. If volume of container is doubled, calculate new equilibrium pressure of \[N{{O}_{2}}\]

    A) 0.095 atm

    B) 0.64 atm

    C) 1.1 atm

    D) 0.28 atm

    Correct Answer: B

    Solution :

    \[{{N}_{2}}{{O}_{4}}\,\,\,\,2N{{O}_{2}}\]
    \[{{K}_{p}}=\frac{P_{N{{O}_{2}}}^{2}}{{{P}_{{{N}_{2}}{{O}_{4}}}}}=\frac{{{(1.1)}^{2}}}{0.28}=4.32\]
    When vol. is doubled press. Become half & reaction proceeds in forward direction because \[{{Q}_{p}}\propto {{K}_{p}}\]
    \[{{N}_{2}}{{O}_{4}}2N{{O}_{2}}\]
    \[\frac{0.28}{2}-P\]                    \[\frac{1.1}{2}+2P\]
    \[{{K}_{p}}=\frac{{{(0.55+2P)}^{2}}}{(0.14-P)}=4.32\]          \[\Rightarrow p=0.045\]
    \[{{P}_{N{{O}_{2}}}}\] at new equilibrium \[=0.55+2\times 0.045\]=0.64 atm


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