A Gas Volume Calculation Problem: Ideal Gas Law
Calculation of Gas Volume using Ideal Gas Law
A sample of Cl2 gas has a volume of 25.0 L at a pressure of 1.50 atm and a temperature of 23 ∘C. What volume, in liters, will the gas occupy at 3.50 atm and 261 ∘C? Assume ideal behavior.
Question:
What volume, in liters, will the gas occupy at 3.50 atm and 261 ∘C?
Answer:
19.33L
Explanation:
To calculate the volume it will occupy, we simply use the general gas equation formula.
P1V1/T1 = P2V2/T2
Given P1 = 1.50 atm , V1 = 25.0L , T1 = 23 degrees Celsius = 23 + 273 = 296K
P2 = 3.50 atm , V2 = ? , T2 = 261 + 273 = 534K
Rearranging the equation:
P1V1T2/P2T1 = V2
Substituting the values:
(1.5 * 25 * 534 )/(3.5 * 296) = V2
V2 = 19.33L