KVPY Sample Paper KVPY Stream-SX Model Paper-21

  • question_answer
    A certain gas is taken to the five states represented by dots in the graph. The plotted lines are isotherms. Order of the most probable speed \[{{V}_{p}}\]of the molecules at these five states is -

    A) \[{{V}_{P\text{ }at\text{ }3}}>{{V}_{P\text{ }at\text{ }1}}={{V}_{P\text{ }at\text{ }2}}>{{V}_{P\text{ }at\text{ }4}}={{V}_{P\text{ }at\text{ }5}}\]

    B) \[{{V}_{P\text{ }at\text{ 1}}}>{{V}_{P\text{ }at\text{ 2}}}={{V}_{P\text{ }at\text{ 3}}}>{{V}_{P\text{ }at\text{ }4}}>{{V}_{P\text{ }at\text{ }5}}\]

    C) \[{{V}_{P\text{ }at\text{ 3}}}>{{V}_{P\text{ }at\text{ 2}}}={{V}_{P\text{ }at\text{ 4}}}>{{V}_{P\text{ }at\text{ 1}}}>{{V}_{P\text{ }at\text{ }5}}\]

    D) Insufficient information to predict the result.

    Correct Answer: A

    Solution :

    Stages 1 and 2 are at same temperature also stages 4 and 5 are at same temperature. As, \[{{V}_{P}}\] is more at higher temperature and same at all stages at equal temperature. \[\therefore {{V}_{P3}}>{{V}_{P1}}={{V}_{P2}}>{{V}_{P4}}={{V}_{P5}}\] Hence [A].

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