A syringe containing 1.59 mL of oxygen gas is cooled from 90.0 °C to 0.7 °C. What is the final volume Vf of oxygen gas? (Assume that the pressure is constant.)
To solve this problem, we can use the ideal gas law equation:
P1V1/T1 = P2V2/T2
Where:
P1 = initial pressure
V1 = initial volume = 1.59 mL = 0.00159 L
T1 = initial temperature = 90.0 °C + 273.15 = 363.15 K
P2 = final pressure (assumed constant)
V2 = final volume = Vf
T2 = final temperature = 0.7 °C + 273.15 = 273.85 K
Since pressure is constant, we can simplify the equation to:
V1/T1 = V2/T2
Now, we can plug in the values:
(0.00159 L) / (363.15 K) = Vf / (273.85 K)
Solving for Vf:
Vf = (0.00159 L) * (273.85 K) / (363.15 K)
Vf ≈ 0.001194 L
Therefore, the final volume of oxygen gas is approximately 0.001194 L.