Cyclopropane C3H6 is a general anesthetic. A 4.4-L sample has a pressure of 5.5 atm. What is the final volume, in liters, of this gas given to a patient at a pressure of 1.2 atm with no change in temperature and amount of gas? Express your answer using two significant figures .
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional if the temperature and amount of gas are constant.
Boyle's Law can be written as:
P1V1 = P2V2
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
Plugging in the given values, we have:
P1 = 5.5 atm
V1 = 4.4 L
P2 = 1.2 atm
V2 = ? (what we are trying to find)
Using the equation, we can solve for V2:
5.5 atm * 4.4 L = 1.2 atm * V2
V2 = (5.5 atm * 4.4 L) / 1.2 atm
V2 ≈ 20.17 L
To two significant figures, the final volume of the gas is 20 L.
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature and amount of gas.
Boyle's Law can be expressed as:
P1 * V1 = P2 * V2
Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume
We have the following information:
P1 = 5.5 atm
V1 = 4.4 L
P2 = 1.2 atm (final pressure)
V2 = ? (final volume)
Using Boyle's Law, we can rearrange the equation to solve for V2 as follows:
V2 = (P1 * V1) / P2
Substituting the known values, we have:
V2 = (5.5 atm * 4.4 L) / 1.2 atm
V2 = 20.35 L
Therefore, the final volume of the gas is 20.35 liters when given to the patient at a pressure of 1.2 atm. Rounded to two significant figures, the final volume is 20 L.
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature and amount of gas. Mathematically, Boyle's Law is expressed as:
P1 * V1 = P2 * V2
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
In this case, we are given:
Initial pressure, P1 = 5.5 atm
Initial volume, V1 = 4.4 L
Final pressure, P2 = 1.2 atm
Using Boyle's Law, we can solve for the final volume, V2:
P1 * V1 = P2 * V2
By substituting the given values:
(5.5 atm) * (4.4 L) = (1.2 atm) * V2
Simplifying the equation:
24.2 atm*L = 1.2 atm * V2
To find V2, we can rearrange the equation:
V2 = (24.2 atm*L) / (1.2 atm)
Calculating V2:
V2 = 20.17 L
Therefore, the final volume of the gas given to the patient is approximately 20.17 liters when the pressure is 1.2 atm.