Question

the average kinetic energy of the molecules that make up sample f is
2
3
4
27

Explanation:

To determine the average kinetic energy of molecules, we rely on the principle that average kinetic energy of gas molecules depends only on temperature (from the Kinetic Molecular Theory). The formula for average kinetic energy ($KE_{avg}$) of a molecule is related to temperature ($T$) by $KE_{avg} = \frac{3}{2}kT$, where $k$ is Boltzmann’s constant.

However, the provided options (2, 3, 4, 27) lack context (e.g., units, temperature values, or a full problem statement). If this is part of a problem where, for example, temperature is related to a scale (like Kelvin, or a relative scale), or if “3” corresponds to a standard relationship (e.g., the $\frac{3}{2}kT$ term’s proportionality to temperature, where “3” represents the $\frac{3}{2}$ factor’s numerator in a simplified context), the most plausible answer (given the options and typical kinetic energy relationships) is 3 (likely referencing the “3” in $\frac{3}{2}kT$ or a proportionality constant for average kinetic energy).

Answer:

3