Respuesta :
ANSWER
The final volume of the ballon is 2.0L
STEP-BY-STEP EXPLANATION:
What to find? The final volume of the balloon
Given parameters
The initial pressure of the oxygen gas = 1.0 atm
The initial volume = 4.0 L
The final pressure of the gas = 2.0 atm
To find the final volume of the gas, we will need to apply Boyle's law
Boyle's law states that the volume of a given gas is inversely proportional to its pressure provided that the temperature remains constant.
This law can be expressed mathematically below
[tex]\begin{gathered} P\text{ }\propto\text{ }\frac{1}{V} \\ \text{Introducing a proportionality constant} \\ P\text{ = }\frac{K\cdot\text{ 1}}{V} \\ P\text{ = }\frac{K}{V} \\ \text{ introduce cross multiply} \\ K\text{ = PV} \\ \text{where k = temperature and it is constant} \\ P1V1\text{ = P2V2} \end{gathered}[/tex]The next step is to substitute the parameters into the formula
[tex]\begin{gathered} P1\text{ = 1.0 atm} \\ V1\text{ = 4.0L} \\ P2\text{ = 2.0 atm} \\ V2\text{ =?} \\ 1\cdot\text{ 4 = 2 }\cdot\text{ V2} \\ 4\text{ = 2V2} \\ \text{Divide both sides by 2} \\ \frac{4}{2}\text{ = }\frac{2V2}{2} \\ V2\text{ = }\frac{4}{2} \\ V2\text{ = 2.0L} \\ \text{Hence, the final volume of the balloon is 2.0L} \end{gathered}[/tex]According to the above calculations, we observed that there is a decrease in the volume of the ballon
PART B
The gas law demonstrated is Boyle's law
