What is the ratio of kinetic energies of 3 g of hydrogen and 4 g of oxygen at a certain temperature?

What is the ratio of kinetic energies of 3 g of hydrogen and 4 g of oxygen at a certain temperature?
  1. $3: 4$
  2. $6: 1$
  3. $12: 1$
  4. $1: 12$

Solution

At same temperature, $\begin{aligned} & \frac{\mathrm{KE}_1}{\mathrm{KE}_2}=\frac{\mathrm{n}_{\mathrm{H}}}{\mathrm{n}_{\mathrm{O}_2}} \\ & \eta_{\mathrm{H}}=\frac{3}{2}=1.5 \text { moles } \\ & \eta_{\mathrm{O}_2}=\frac{4}{32}=0.125 \text { moles } \\ & \frac{\mathrm{KE}_1}{\mathrm{KE}_2}=\frac{1.5}{0.125}=\frac{12}{1} \Rightarrow 12: 1 \end{aligned}$

Asked in: AP EAMCET 2024 (20 May Shift 2)

Practice more States of Matter questions on Aicharya