Are there two ways of calculating the average kinetic energy of a molecule?

Ik that 1/2mv^2 works
but for this problem, i don't know the mass or the velocity....

Answered above.

Yes, there are two ways to calculate the average kinetic energy of a molecule, one using the equation 1/2mv^2 and the other using the Boltzmann constant. However, for both methods, you need to have either the mass of the molecule or the velocity.

If you don't know the mass or the velocity of the molecule, it is not possible to calculate the average kinetic energy directly using these formulas. However, there are alternative methods to estimate or approximate the average kinetic energy.

One common way is to consider the temperature of the system. The average kinetic energy of a molecule is directly proportional to the temperature of the system. According to the kinetic theory of gases, the average kinetic energy is directly related to the absolute temperature T:

Average Kinetic Energy = (3/2) kT

Where:
- Average Kinetic Energy is in joules (J),
- k is the Boltzmann constant (1.38 × 10^-23 J/K),
- T is the temperature in kelvin (K).

By knowing the temperature, you can use this formula to estimate the average kinetic energy of the molecules in a system, even without knowing their individual mass or velocity.