WEBVTT

1
00:00:00.000 --> 00:00:08.150
Here is the problem: What volume does 3 mol of an ideal gas occupy at 0.8 atm and 20 °C?

2
00:00:08.600 --> 00:00:17.215
Solve PV equals nRT for V, with pressure in atm, volume in litres, amount in moles and temperature in kelvin.

3
00:00:18.015 --> 00:00:22.369
Convert the temperature to kelvin. The gas law needs absolute temperature.

4
00:00:22.819 --> 00:00:28.229
Choose the gas constant to match the units. Pressure is in atm and volume in litres.

5
00:00:28.679 --> 00:00:32.626
Rearrange PV equals nRT for V and substitute.

6
00:00:33.426 --> 00:00:37.780
So the answer is V equals 90.2067 L.

7
00:00:38.230 --> 00:00:52.116
An ideal gas obeys PV equals nRT: pressure times volume is proportional to the amount of gas and its absolute temperature. Real gases follow it closely at low pressure and high temperature.

8
00:00:52.915 --> 00:01:01.425
PV equals 72.1654 and nRT equals 72.1654, which agree.
