Which temperature represents the highest average kinetic energy of the particles in a sample of matter?

A) 298 K

B) 267 K

C) 27 degrees Celsius

D) 12 degrees Celsius

Average kinetic energy is proportional to absolute temperature. This means that the higher the temperature the higher the kinetic energy.

This equation reflects that: KE avg = [3/2]kT, where k is the Boltzman constant.

So, you just have to checkg which of the given temperatures is the highest one ...

Of course to compare you need to have them all in the same unit system.

Use absolute temperatures in Kelvin.

=> 27°C + 273.15 = 300.15 K.

Then, the highest temperature is 27°C and that represents the highest kinetic energy.

Answer is the option c. 27°C