Question
Which of the following expressions correctly represents the relationship between the average molar kinetic energy, $$\overline {KE} $$ of $$CO$$ and $${N_2}$$ molecules at the same temperature?
A.
$$\overline {KE} co < {\overline {KE} _{{N_2}}}$$
B.
$$\overline {KE} co > {\overline {KE} _{{N_2}}}$$
C.
$$\overline {KE} co = {\overline {KE} _{{N_2}}}$$
D.
Cannot be predicted unless volumes of the gases are given
Answer :
$$\overline {KE} co = {\overline {KE} _{{N_2}}}$$
Solution :
$$KE = \frac{3}{2}RT$$ ( for one mole of a gas )
The temperature is constant and kinetic energy is independent on molecular weights. So,
$$\overline {KE} co = {\overline {KE} _{{N_2}}}$$