In a vacuum system,a container is pumped down to a pressure of 1.33 $\times$ 10^-6 Pa at 20ºC.How many molecules of gas are there in 1 cm³ of this container? (Boltzmann's constant k = 1.38 $\times$ 10^-23 J/K) A)3.3 $\times$ 10⁸ B)4.8 $\times$ 10⁹ C)3.3 $\times$ 10¹⁴ D)7.9 $\times$ 10¹² E)4.8 $\times$ 10¹²

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Quizplus · Accepted Answer

The number of molecules can be calculated using the ideal gas law in the form: $ n = \frac{P \cdot V}{k \cdot T} $. Substituting the given values: $ P = 1.33 \times 10^{-6} \, \text{Pa} $, $ V = 1 \times 10^{-6} \, \text{m}^3 $, $ k = 1.38 \times 10^{-23} \, \text{J/K} $, and $ T = 293 \, \text{K} $, we find $ n \approx 3.3 \times 10^8 $ molecules.

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