Question

the diagram shows three maxwell - boltzmann frequency graphs. which graph represents the system with the highest temperature? blue complete which graph represents the system with the lowest temperature? done frequency vs. number of particles kinetic energy

Explanation:

Step1: Recall Maxwell - Boltzmann distribution

In Maxwell - Boltzmann distribution, as temperature increases, the distribution of kinetic energy of particles becomes more spread out (flatter and shifted to higher kinetic energy) and the peak of the graph (number of particles with a certain kinetic energy) becomes lower and broader. Conversely, at lower temperatures, the peak is higher and narrower (more particles have lower kinetic energy).

Step2: Analyze the graphs

Looking at the three graphs (orange, red, blue), the orange graph has the highest and narrowest peak, which indicates a lower temperature (since most particles have lower kinetic energy and the distribution is narrow). The blue graph has the lowest and broadest peak, shifted to higher kinetic energy, indicating the highest temperature. For the lowest temperature, we look for the graph with the highest and narrowest peak, which is the orange graph.

Answer:

For "Which graph represents the system with the lowest temperature?", the answer is the orange graph (assuming the orange graph is the one with the highest and narrowest peak among the three, as per Maxwell - Boltzmann distribution principles). If we consider the labels from the diagram, and following the distribution rules, the graph with the highest peak (narrowest) is the one with the lowest temperature, which is the orange - colored graph.