Hydrogen sulfide, H,S, has the characteristic odor of rotten eggs. If a sample of HS gas at 707.6 torr and 23.9 °C in a 33.0 L container is allowed to enter a new container at 805.2 torr and 77.0 °C, what is the volume of the new container? Be sure your answer has the correct number of significant figures.
To solve this problem, we can use the combined gas law, which states:
(P₁V₁) / (T₁) = (P₂V₂) / (T₂)
where:
P₁ = 707.6 torr
V₁ = 33.0 L
T₁ = 23.9 °C + 273.15 = 296.05 K
P₂ = 805.2 torr
V₂ = unknown
T₂ = 77.0 °C + 273.15 = 350.15 K
By substituting these values into the equation, we get:
(707.6 torr * 33.0 L) / 296.05 K = (805.2 torr * V₂) / 350.15 K
Solving for V₂:
(23386.8) / 296.05 = (805.2 * V₂) / 350.15
V₂ = (23386.8 * 350.15) / (296.05 * 805.2)
V₂ = 26.13 L
Therefore, the volume of the new container is 26.13 L. Since the volume was given to three significant figures, the answer should be rounded to three significant figures, resulting in a final answer of 26.1 L.