Respuesta :
Answer:
[tex]8.5\text{ L}[/tex]Explanation:
According to Boyles' law, the volume of a given mass of gas is inversely proportional to its pressure
Mathematically:
[tex]\begin{gathered} P_1V_1\text{ = P}_2V_2 \\ V_2\text{ = }\frac{P_1V_1}{P_2} \end{gathered}[/tex]Where:
P1 is the initial pressure which is 28.2 atm
V1 is the volume of the cylinder which is:
[tex]\begin{gathered} V_1\text{ = }\pi\times r^2\times h \\ r\text{ = radius = }\frac{4.6}{2}\text{ = 2.3 cm} \\ h\text{ = 18 cm} \\ \\ V_1\text{ = }\pi\times2.3^2\times18\text{ = 299.14 cm}^3 \end{gathered}[/tex]We convert V1 to liters by multiplying by 0.001 L
That would be:
[tex]299.14\text{ }\times\text{ 0.001 = 0.3 L}[/tex]P2 is the atmospheric pressure which is 1 atm
Substituting the values, we have:
[tex]V_2\text{ = }\frac{28.2\text{ }\times0.3}{1}\text{ = 8.46 L}[/tex]