Question

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.)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.