2. Sample Papers
  3. KVPY

KVPY Sample Paper KVPY Stream-SX Model Paper-10

  • question_answer
    One mole of \[{{N}_{2}}{{O}_{4}}\](g) at 300 K is kept in a closed container under one atmosphere. It is heated to 600 K when \[20%\]by mass of \[{{N}_{2}}{{O}_{4}}\](g) decomposes to \[N{{O}_{2}}\](g). the resultant pressure is:

    A) 1.2 atm            

    B) 2.4 atm

    C) 2.0atm             

    D) 1.0 atm

    Correct Answer: B

    Solution :

    \[{{N}_{2}}{{O}_{4}}(g)\] \[\rightleftharpoons \] \[2N{{O}_{2}}(g)\]
    At start 100/92mol=1.09mol 0
    At equilibrium 80/92mol=0.87mol 20/46mol=0.43mol
    According to ideal gas equation, at two conditions
    At 300K;  \[{{P}_{1}}V={{n}_{1}}R{{T}_{1}}\]
    \[1\times V=1.09\times R\times 300..(i)\]
    At 600K; \[{{P}_{2}}V={{n}_{2}}R{{T}_{2}}\]
    \[{{P}_{2}}\times V=\left( 0.87+0.43 \right)\times R\times 600..(ii)\]
    Divide (ii) by (i)
    \[\frac{{{P}_{2}}}{1}=\frac{1.30\times 600}{1.09\times 300};\] \[{{P}_{2}}\frac{1.30\times 2}{1.09}=2.39\operatorname{atm}.\simeq 2.4\operatorname{atm}.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner