Question

Calculate the root mean square and average velocity of carbon dioxide at 1000 degree celsius

Answer 1

Answer:

You should be able to do this from the energy per mode of movement (linear and vibrational) in an ideal gas. CO2 will be close to ideal at 1000C. So E=1/2 kT per mode which you can equate to the Kinetic energy 1/2 mv^2. So put in Boltzmann's constant k times 1273, the absolute temperature. Get the mass in Kilograms of the CO2 molecule from the atomic weights and Avogadro's number, then use the equation 1/2 kT = 1/2 mv^2, to give v^2 = kT/m. Use the absolute temperature (1000 + 273). Put in the Boltzmann constant and the molecular weight in Kilograms and take the square root and you have the RMS velocity of the CO2. This will be an approximation, since CO2 will not be an "ideal" gas, even at 1000cExplanation: