Question

Which graph shows the relationship between temperature, X, and kinetic energy, Y?

Answer 1

Answer: see the graph attached (straight line, passing through the origin and positive slope).


Justification:

1) Kinetic energy and temperature are in direct proportion. That means:

i)  Being kinetic energy y and temperature x: y α x

ii) That implies: y = kx,where k is the constant of proportionality.

iii) The graph is a line that passes through the origin and has positive slope k (k = y / x).

2) The proportional relationship between kinetic energy (KE) and temperature (T) is shown by the Boltzman law, which states:

Average KE = [3 / 2] KT, where K is Boltzman's constant, whose graph is of the form shown in the figure attached.

Answer 2

The graph shows the relationship between temperature, X, and kinetic energy, Y which shows linear relationship between them.

What is kinetic energy?

The ability of an object to do work by virtue of its motion.

The temperature is the degree of coldness or hotness of the object.

Energy E = 3/2 nRT

where T is the temperature.

Kinetic energy is directly proportional to the temperature of the body.

Thus, the graph shows the relationship between temperature, X, and kinetic energy, Y which shows linear relationship between them.

Learn more about kinetic energy.

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