Question

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

Answer 1

Answer:  [A]:  " 298 K " .
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Note:

Answer choices:  [A]: 298 K = 24.85°C ;
                            [B]: 267 K = -6.15 °C ;
                            [C]:  27°C ;
                            [D]:  12°C ;
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The highest temperature is answer choice:  [A]:  " 298 K " .
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Answer 2

Answer: Option C is correct.

Explanation: Average kinetic energy is directly proportional to the absolute temperature. Higher the temperature means higher the kinetic energy.

Average kinetic energy is given by:

$K.E._{avg}=\frac{3kT}{2}$

Where, k = Boltzman constant

T = Temperature

We are given different temperatures, so to compare they all should have the same units.

a) 298K

b) 267K

c) 27°C = 273+27 = 300K

d) 12°C = 273+12 = 285K

Looking at the temperature values, C part will have the highest average kinetic energy.