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Cyclopropane, C3H6, is a general anesthetic. A 5.1 L sample has a pressure of 5.1 atmWhat is the volume, in liters, of the anesthetic given to a patient at a pressure of 1.0 atm with no change in temperature and amount of gas?Express your answer using two significant figures.

User Clocker
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Step-by-step explanation:

We have a sample of gas that has a volume of 5.1 L at 5.1 atm. We have to find its volume when the pressure changes to 1.0 atm at constant temperature.

To calculate the change of volume or pressure of a gas sample when the temperature remains constant we can apply Boyle's Law. That law says that "the pressure of a given mass of an ideal gas is inversely proportional to the volume it occupies". The formula of Boyle's Law is:

P₁ * V₁ = P₂ * V₂

Where P₁ and V₁ are the initial pressure and volume of the gas sample, and P₂ and V₂ are the final temperature and volume of it. We already know some of these values.

P₁ = 5.1 atm V₁ = 5.1 L V₂ = ? P₂ = 1.0 atm

We can replace these values in the formula and solve it for V₂ to get the answer to our problem

P₁ * V₁ = P₂ * V₂

V₂ = P₁ * V₁/P₂

V₂ = 5.1 atm * 5.1 L/(1.0 atm)

V₂ = 26.01 L = 26 L

Answer: The volume is 26 L.

User Billy Pilgrim
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