The RMS speed of a gas is 250 m/s. What is the kinetic energy per molecule of th

Practice Questions

Q1
The RMS speed of a gas is 250 m/s. What is the kinetic energy per molecule of the gas?
  1. 0.5 * m * (250)^2
  2. 0.25 * m * (250)^2
  3. 0.75 * m * (250)^2
  4. 1.5 * m * (250)^2

Questions & Step-by-Step Solutions

The RMS speed of a gas is 250 m/s. What is the kinetic energy per molecule of the gas?
  • Step 1: Understand the formula for kinetic energy per molecule, which is KE = (1/2) * m * v^2.
  • Step 2: Identify the given values. The RMS speed (v) is 250 m/s.
  • Step 3: Note that we need the mass (m) of one molecule of the gas to calculate the kinetic energy.
  • Step 4: If the mass of one molecule is known, substitute the values into the formula: KE = 0.5 * m * (250)^2.
  • Step 5: Calculate (250)^2, which equals 62500.
  • Step 6: Multiply 0.5 by the mass (m) and then by 62500 to find the kinetic energy per molecule.
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