In a vacuum system, a container is pumped down to a pressure of 1.33 × 10^-⁶ Pa at 20^oC. How many molecules of gas are there in 1 cm³ of this container? Boltzmann's constant k = 1.38 × 10^-²³ J/K)

Question

Quizplus · Accepted Answer

The number of molecules of gas in 1 cm3 of the container is given by the formula:N = P/kTwhere P is the pressure, k is Boltzmann's constant, and T is the temperature.Substituting the given values into the formula, we get:N = (1.33 × 10^-6 Pa) / (1.38 × 10^-23 J/K * 293 K) = 3.3 × 10^8 molecules/cm3Therefore, the correct answer is A.

In a Vacuum System, a Container Is Pumped Down to a Pressure