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:
\(\frac{ P_{1} }{ P_{2} } = \frac{ V_{2} }{ V_{1} }\)
Product of extremes equals product of means
\(P_{1} * V_{1} = P_{2} * V_{2}\)
Data:
\(P_{1} = 235\:kPa\)
\(V_{1} = 9.65\:L\)
\(P_{2} = 98\:kPa\)
\(V_{2} = ?\)
Solving:
\(P_{1} * V_{1} = P_{2} * V_{2}\)
\(235*9.65 = 98*V_{2}\)
\(2267.75 = 98V_{2}\)
\(98V_{2} = 2267.75\)
\(V_{2} = \frac{2267.75}{235}\)
\(\boxed{\boxed{V_{2} \approx 23.14\:L}}\end{array}}\qquad\quad\checkmark\)
