JEE Main & Advanced Chemistry States of Matter Question Bank Kinetic molecular theory of gases and Molecular collisions

  • question_answer Indicate the correct statement for a 1-L sample of \[{{N}_{2}}(g)\] and \[C{{O}_{2}}(g)\] at 298 K and 1 atm pressure

    A)                 The average translational KE per molecule is the same in \[{{N}_{2}}\] and \[C{{O}_{2}}\]

    B)                 The rms speed remains constant for both \[{{N}_{2}}\] and \[C{{O}_{2}}\]

    C)                 The density of \[{{N}_{2}}\] is less than that of \[C{{O}_{2}}\]

    D)                 The total translational KE of both \[{{N}_{2}}\] and \[C{{O}_{2}}\] is the same

    Correct Answer: A

    Solution :

               Kinetic energies per molecule will be same because it is proportional to absolute temperature only.                    \[\frac{{{d}_{{{N}_{2}}}}}{{{d}_{C{{O}_{2}}}}}=\frac{{{M}_{{{N}_{2}}}}}{{{M}_{C{{O}_{2}}}}}=\frac{28}{44}\]i.e. \[d{{N}_{2}}<dC{{O}_{2}}\] Total translational kinetic energy will also be same because at same temperature & pressure number of molecules present in same volume would be same (according to Avogadro's Law)

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