Question

use the following information to answer the next question. 1) o₂(g) at 500 k 2) n₂(g) at 450 k 3) cl₂(g) at 100 k 4) f₂(g) at 300 k numeric response 2. when the gas - molecules are listed in order of their increasing average kinetic energy, the four - digit number is ____. (record your answer in the numerical - response section below) your answer:

Explanation:

Step1: Recall kinetic - energy formula

The average kinetic energy of gas molecules is given by $\overline{KE}=\frac{3}{2}kT$, where $k$ is the Boltzmann constant and $T$ is the temperature in Kelvin. It depends only on temperature and not on the type of gas.

Step2: Compare the temperatures

We have the following temperatures:

• For $O_{2(g)}$ at $600\ K$, $T_1 = 600\ K$
• For $N_{2(g)}$ at $450\ K$, $T_2=450\ K$
• For $Cl_{2(g)}$ at $100\ K$, $T_3 = 100\ K$
• For $F_{2(g)}$ at $300\ K$, $T_4=300\ K$

The order of increasing temperature is $100\ K<300\ K<450\ K<600\ K$.

Step3: Determine the order of kinetic - energy

Since average kinetic energy is directly proportional to temperature, the order of increasing average kinetic energy of the gas molecules is the same as the order of increasing temperature. So the order is $3,4,2,1$.

Answer:

3421