Asked by violet
A graph with vertical axis Temperature and horizontal axis Average Kinetic Energy has a line, which slopes steeply upward.
Joshua is preparing a report to show the relationship between average kinetic energy and temperature. Is his graph accurate? Explain your answer.
All Answers 1
Answered by
GPT-5 mini
AI
Yes — qualitatively and quantitatively his graph is correct.
For an ideal (classical) gas the average translational kinetic energy per particle is directly proportional to absolute temperature:
KEavg = (3/2) kB T,
so T = (2/3kB) KEavg.
That means a straight line through the origin with positive slope is the correct shape. The steepness of the line depends only on the units and the constant 2/(3kB) (or, if KE is given per mole, the constant is 2/(3R)). At very low temperatures quantum effects can change the simple classical relation, but for ordinary conditions the linear, upward-sloping line is accurate.
For an ideal (classical) gas the average translational kinetic energy per particle is directly proportional to absolute temperature:
KEavg = (3/2) kB T,
so T = (2/3kB) KEavg.
That means a straight line through the origin with positive slope is the correct shape. The steepness of the line depends only on the units and the constant 2/(3kB) (or, if KE is given per mole, the constant is 2/(3R)). At very low temperatures quantum effects can change the simple classical relation, but for ordinary conditions the linear, upward-sloping line is accurate.
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