Question #c1228

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Answer 1 · 2017-02-15T19:09:18

Because the gas molecules move faster.

Kinetic energy (K.E.) is the energy of motion. It is proportional to the square of a gas molecule's velocity.

$K . E . = \frac{1}{2} m v^{2}$ $K.E. = 1/2mv^2$

Now gas velocity is related to the gas constant and the molar mass, M:

$v = \frac{3 R T}{M}$ $v = (3RT)/M$

So as temperature, T, goes up, velocity goes up. According to the first equation, as velocity goes up, K.E. goes up.

Q.E.D.

Answer 2 · 2017-03-30T17:32:28

They are the same thing.

In many fields of study the definition of temperature of an object is the absolute kinetic energy of the molecules of that object.