Final answer:
The final volume of cyclopropane given to a patient at a pressure of 1.0 atm, with no change in temperature and amount of gas, is 20 liters.
Step-by-step explanation:
The question involves the use of Boyle's Law, which is part of Chemistry. Boyle's Law states that for a given mass of gas at a constant temperature, the volume of the gas is inversely proportional to the pressure. Mathematically, this is expressed as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume of the gas, and P2 and V2 are the final pressure and volume.
In this case, you have cyclopropane gas with an initial volume (V1) of 4.4 L and an initial pressure (P1) of 4.5 atm. The final pressure (P2) is given as 1.0 atm, and you need to find the final volume (V2) at this pressure with no change in temperature and amount of gas.
By rearranging the equation to solve for V2, we have:
V2 = (P1 * V1) / P2
Now, plug in the values:
V2 = (4.5 atm * 4.4 L) / 1.0 atm
Calculating that gives us:
V2 = 19.8 L
Thus, the final volume of the gas given to a patient will be 19.8 liters.
To express the answer with two significant figures, we round off 19.8 liters to 20 liters.