In this video we’ll work a practice problem for the Ideal Gas Law, PV=nRT. For this problem you can rearrange the equation to get V by itself to start with or just plug in values and solve for V.
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Gas Laws Playlist: • Gas Laws
Given values:
Volume (V) = 321 mL (convert to liters: 0.321 L)
Temperature (T) = 25.0 °C (convert to Kelvin: 298.15 K)
Pressure (P) = 745 mmHg (convert to atm: divide by 760)
Ideal Gas Law: PV = nRT
Convert volume to liters: 321 mL = 0.321 L
Convert temperature to Kelvin: 25.0 °C + 273.15 = 298.15 K
Convert pressure to atm: 745 mmHg / 760 mmHg/atm = 0.980 atm
Now, plug in the values into the ideal gas law:
n = PV / RT
n = (0.980 atm * 0.321 L) / (0.0821 L·atm/(mol·K) * 298.15 K)
Calculate:
n = 0.01284 moles
Therefore, the number of moles of gas in the sample is approximately 0.0129 moles.
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