5 Steps to a 5 AP Physics B, 2014 Edition by Greg Jacobs
Author:Greg Jacobs
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2013-05-01T16:00:00+00:00
In this version, N is the number of molecules of gas, and kB is called Boltzmann’s constant (kB = 1.38 × 10–23 J/K).
If you ever need to convert moles to molecules, remember that one mole contains 6.02 × 1023 molecules. This conversion is on the constant sheet.
The rigid frame of a dirigible holds 5000 m3 of hydrogen. On a warm 20°C day, the hydrogen is at atmospheric pressure. What is the pressure of the hydrogen if the temperature drops to 0°C?
The best way to approach an ideal gas problem is to ask: “What is constant?” In this case, we have a rigid container, meaning that volume of the hydrogen cannot change. Also, unless there’s a hole in the dirigible somewhere, the number of molecules N must stay constant. So the only variables that change are pressure and temperature.
Start by putting the constants on the right-hand side of the ideal gas equation:
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