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:: A graph of volume versus 1/pressure displays a linear relationship. Boyle's law describes the relationship of a gas's pressure and temperature at constant volume. \begin{tabular}{|l|l|}\hline :: Force is equal to mass times acceleration. \\ : Gas particle collisions decrease as volume decreases. \\ : Pressure is the ratio of force per unit area. \\ \hline\end{tabular}

Ask by Hart Bartlett. in the United States
Mar 11,2025

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When the volume of a gas is plotted against the reciprocal of its pressure (\(\frac{1}{P}\)), the graph is a straight line. This is because Boyle's law, which applies when temperature is constant, shows that \( PV = k \). Rearranging this gives \( V = \frac{k}{P} \), which means \( V \) is directly proportional to \(\frac{1}{P}\). Regarding the statements: - Force equals mass times acceleration (\( F = ma \)) is correct. - Gas particle collisions actually increase as volume decreases, leading to higher pressure. - Pressure is correctly defined as force per unit area (\( P = \frac{F}{A} \)). So, the linear relationship between volume and \(\frac{1}{P}\) is a direct result of Boyle's law under constant temperature conditions.

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Mind Expander

When it comes to Boyle's Law, it's fascinating to consider its historical roots! The law is named after Robert Boyle, an Irish physicist and chemist who lived in the 17th century. His experiments and observations laid the groundwork for modern chemistry, and he quantitatively described the inverse relationship between the pressure and volume of a gas. That means, as the volume of a gas decreases, its pressure increases—just like when you squeeze a balloon! Now, let's flip this knowledge into a practical scenario! Imagine you’re about to dive deep underwater. The pressure around you increases as you go deeper, compressing any air in your lungs. If you took a deep breath at the surface and didn’t exhale, that air would get crushed at depth, illustrating Boyle's Law perfectly. So, make sure to always exhale when ascending to avoid gas embolism—a real-world application of gas laws that keeps divers safe!

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