If the RMS speed of a gas is 300 m/s, what is the kinetic energy per molecule?

If the RMS speed of a gas is 300 m/s, what is the kinetic energy per molecule?

Step 1: Understand that the kinetic energy (KE) of a molecule is calculated using the formula KE = 0.5 * m * v^2.
Step 2: Identify the variables in the formula: 'm' is the mass of the molecule and 'v' is the speed of the molecule.
Step 3: Note that the problem gives us the RMS speed (v) of the gas, which is 300 m/s.
Step 4: To find the kinetic energy per molecule, we need the mass (m) of one molecule of the gas. This information is not provided in the question.
Step 5: If we had the mass of the molecule, we would substitute v = 300 m/s into the formula KE = 0.5 * m * (300)^2 to calculate the kinetic energy.

Kinetic Energy – The kinetic energy of an object is the energy it possesses due to its motion, calculated using the formula KE = 0.5 * m * v^2.
RMS Speed – RMS (Root Mean Square) speed is a statistical measure of the speed of particles in a gas, which can be used to calculate kinetic energy.
Molecular Mass – The mass of a single molecule is required to calculate the kinetic energy per molecule, which may not be provided in the question.