Boyle's Law or Boyle-Mariotte's Law: Under constant temperature, the volume occupied by a given fixed mass of a gas is inversely proportional to its pressure.
Formula:
[tex] \frac{ P_{1} }{ P_{2} } = \frac{ V_{2} }{ V_{1} } [/tex]
Product of extremes equals product of means
[tex] P_{1} * V_{1} = P_{2} * V_{2} [/tex]
Data:
[tex]P_{1} = 235\:kPa[/tex]
[tex]V_{1} = 9.65\:L[/tex]
[tex]P_{2} = 98\:kPa[/tex]
[tex]V_{2} = ?[/tex]
Solving:
[tex] P_{1} * V_{1} = P_{2} * V_{2} [/tex]
[tex]235*9.65 = 98*V_{2} [/tex]
[tex]2267.75 = 98V_{2}[/tex]
[tex]98V_{2} = 2267.75[/tex]
[tex]V_{2} = \frac{2267.75}{235} [/tex]
[tex]\boxed{\boxed{V_{2} \approx 23.14\:L}}\end{array}}\qquad\quad\checkmark[/tex]
