Answer
Please refer to the attached graph (a straight line originating from the origin with a positive slope). Justification: 1) Kinetic energy is directly proportional to temperature, indicating that: i) If we let kinetic energy be y and temperature be x, then y α x ii) This leads to the relationship: y = kx, where k represents the constant of proportionality. iii) Consequently, the graph is a linear function that starts at the origin and has a positive slope equal to k (k = y / x). 2) The direct relationship demonstrated between kinetic energy (KE) and temperature (T) is encapsulated in the Boltzmann law, which is expressed as: Average KE = [3 / 2] KT, where K is the constant from Boltzmann, depicted in the graph provided.
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