Question

which line represents the particles with the lowest average kinetic energy? maxwell - boltzmann distribution of n₂(g) (with a graph of number of particles (n) vs particle speed (m/s), and three options: blue, red, green)

Explanation:

The average kinetic energy of gas particles is related to temperature (by the formula \( KE_{avg}=\frac{3}{2}kT \), where \( k \) is Boltzmann’s constant and \( T \) is temperature in Kelvin). For a given gas (here \( \ce{N2} \)), lower average kinetic energy means lower temperature. The Maxwell - Boltzmann distribution shows that at lower temperatures, the peak of the distribution is at lower speeds and the distribution is more narrow. The red line has the peak at the lowest speed (around 300 m/s) compared to green (around 400 m/s) and blue (around 600 m/s). So the red line represents particles with the lowest average kinetic energy.

Answer:

RED