Question 8 Find the the average speed for nitrogen molecules at 295 K.
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314 J/mol·K) * T is the temperature (K) * M is the molar mass of the gas (kg/mol) Show more…
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Find (a) the most probable speed, (b) the average speed, and (c) the rms speed for nitrogen molecules at $295 \mathrm{~K}$.
Supratim P.
The Speed of Nitrogen Molecules The kinetic theory of gases states that the kinetic energy of a gas is directly proportional to the temperature. A relationship between the microscopic properties of the gas molecules and the macroscopic properties of the gas can be derived using the following assumptions: Part A What is the average speed vavg of the molecules in the gas? Express your answer numerically to three significant digits. The gas is composed of point-like particles separated by comparatively large distances. View Available Hint(s) Part B Because the kinetic energy of a single molecule is related to its velocity squared, the best measure of the kinetic energy of the entire gas is obtained by computing the mean squared velocity (v^2)avg, or its square root vrms. The quantity vrms is more common than (v^2)avg because it has the dimensions of velocity instead of the less-familiar velocity-squared. What is the rms speed vrms of the molecules in the nitrogen gas?
Adi S.
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