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In this lesson, we will learn how to calculate the pressure, temperature, and volume of an ideal gas using pV = NkT (the ideal gas law).

Q1:

The number density of gas molecules is defined as the number of molecules present per unit volume. At a certain location in the space above Earth, the number density is 1 . 9 4 × 1 0 1 1 m^{−3} and the atmospheric pressure at that location is 3 . 4 5 × 1 0 − 1 0 N/m^{2}. What is the temperature at this location?

Q2:

A tank with a volume of 6.75 m^{3} contains 5 . 2 3 × 1 0 4 mol of compressed oxygen. Determine the gauge pressure inside the tank if the root-mean-square speed of the oxygen molecules is 524 m/s. Use a value of 32.0 g/mol for the molar mass of molecular oxygen.

Q3:

A mole of dry air consists of 7 8 % nitrogen, 2 1 % oxygen, and 1 % argon, with trace amounts of other gases. A tank of compressed dry air at a temperature of 293 K has a volume of 1.76 cubic feet. The compressed air has a gauge pressure of 2 200 pounds per square inch. How many moles of oxygen does the compressed air contain?

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