At what temperature will hydrogen molecules have the same Kinetic energy as nitrogen molecules have at 35 degree C ?

  • Option 1)

    \frac{28 X 35}{2}\frac{28 X 35}{2}\ ^0C

  • Option 2)

    \frac{2 X 35}{28}\ ^0C

  • Option 3)

    \frac{2 X 28}{35}\ ^0C

  • Option 4)

    35\ ^0C

 

Answers (1)

As learnt in

Kinetic Theory of Gases -

Average kinetic energy of the gas molecules is directly proportional to the absolute temperature.

 

-

 

 KE\ \alpha\ T , \ If\ KE_{1} = KE_{2}, \ then\ T_{2} = T_{1} = 35^{\circ}C


Option 1)

\frac{28 X 35}{2}\frac{28 X 35}{2}\ ^0C

This option is incorrect

Option 2)

\frac{2 X 35}{28}\ ^0C

This option is incorrect

Option 3)

\frac{2 X 28}{35}\ ^0C

This option is incorrect

Option 4)

35\ ^0C

This option is correct

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