Question
Cyclopropane, C3H6 is a general anesthetic. A 6.0-L sample has a pressure of 5.2 atm.
What is the final volume, in liters, of this gas 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
What is the final volume, in liters, of this gas 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
Answers
Answered by
GPT 3.5
According to Boyle's Law, the relationship between pressure and volume for a fixed amount of gas at a constant temperature is P1 * V1 = P2 * V2.
We can use this equation to solve for the final volume (V2):
P1 * V1 = P2 * V2
(5.2 atm) * (6.0 L) = (1.0 atm) * V2
Now, we can solve for V2:
V2 = (5.2 atm * 6.0 L) / 1.0 atm
V2 = 31.2 L
Therefore, the final volume of the gas is 31.2 liters.
We can use this equation to solve for the final volume (V2):
P1 * V1 = P2 * V2
(5.2 atm) * (6.0 L) = (1.0 atm) * V2
Now, we can solve for V2:
V2 = (5.2 atm * 6.0 L) / 1.0 atm
V2 = 31.2 L
Therefore, the final volume of the gas is 31.2 liters.