Step 1
Boyle's law states that the pressure of a given mass of an ideal gas is inversely proportional to the volume it occupies if the temperature and the amount of the gas remain constant.
Mathematically:
[tex]P1\text{ x V1}=P2\text{ x V2 \lparen1\rparen}[/tex]-----------------
Step 2
Information provided:
P1 = pressure 1 = 2.5 atm
V1 = volume 1 = 24.6 L
-------
P2 = unknown
V2 = 18.7 L
----------------
Step 3
P2 is found from (1):
[tex]\begin{gathered} P1\text{ x V1 = P2 x V2} \\ \frac{P1\text{ x V1}}{V2}=P2 \\ \frac{2.5\text{ atm x 24.6 L}}{18.7\text{ L}}=3.3\text{ atm} \end{gathered}[/tex]Answer: P2 = 3.3 atm
