The Calculation of Initial Volume of Argon Gas Sample
The pressure of a sample of argon gas was increased from 3.50 ATM to 8.34 ATM at constant temperature if the final volume of the argon sample was 18.3 L what was the initial volume of the argon sample assume ideal behavior.
Answer:
43.61 L
Explanation:
- According to Boyle's law, the volume of a fixed mass of a gas and the pressure are inversely proportional at a constant absolute temperature.
- Mathematically, P ∝ 1/V
P = k/V
- At varying volume and pressure
k = P1V1 = P2V2
In this case we are given;
Initial pressure, P1 = 3.50 atm
Final pressure, P2 = 8.34 atm
Final volume, V2 = 18.3 L
We are required to calculate the initial volume, V1,
Rearranging the formula;
V1 = P2V2 / P1
Therefore;
Initial volume = (8.34 atm)(18.3 L) / 3.50 atm
= 43.606
Initial volume = 43.61 L
What is the formula for Boyle's law? Boyle's law states that the volume of a fixed mass of a gas and the pressure are inversely proportional at a constant absolute temperature. Mathematically, it is represented as P ∝ 1/V, where P is the pressure and V is the volume.