Question: From the Maxwell Boltzmann speed distribution
From the Maxwell–Boltzmann speed distribution, show that the most probable speed of a gas molecule is given by Equation 21.29. Note that the most probable speed corresponds to the point at which the slope of the speed distribution curve dNv / dv is zero.
Answer to relevant QuestionsHelium gas is in thermal equilibrium with liquid helium at 4.20 K. Even though it is on the point of condensation, model the gas as ideal and determine the most probable speed of a helium atom (mass = 6.64 X 10-27 kg) in it.In an ultra-high-vacuum system, the pressure is measured to be 1.00 X 10-10 torr (where 1 torr = 133 Pa). Assuming the molecular diameter is 3.00 % 10-10 m, the average molecular speed is 500 m/s, and the temperature is 300 ...Twenty particles, each of mass m and confined to a volume V, have various speeds: two have speed v; three have speed 2v; five have speed 3v; four have speed 4v; three have speed 5v; two have speed 6v ; one has speed 7v. Find ...(a) Show that the speed of sound in an ideal gas is(a) If it has enough kinetic energy, a molecule at the surface of the Earth can “escape the Earth’s gravitation,” in the sense that it can continue to move away from the Earth forever, as discussed in Section 13.7. ...
Post your question