Question
:: 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.
:: Force is equal to mass times acceleration.
: Gas particle collisions decrease as volume decreases.
: Pressure is the ratio of force per unit area.
Boyle’s law describes the relationship of a gas’s pressure and temperature at constant
volume.
| :: Force is equal to mass times acceleration. |
| : Gas particle collisions decrease as volume decreases. |
| : Pressure is the ratio of force per unit area. |
Ask by Hart Bartlett. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
When the volume of a gas is plotted against the reciprocal of its pressure (
Regarding the statements:
- Force equals mass times acceleration (
) is correct. - Gas particle collisions actually increase as volume decreases, leading to higher pressure.
- Pressure is correctly defined as force per unit area (
).
So, the linear relationship between volume and
Solution
-
Boyle’s law states that for a fixed amount of gas at constant temperature,where
is pressure, is volume, and is a constant. -
Rearranging Boyle’s law gives
-
Expressing
as a function of yields which shows that whenis plotted versus , the relationship is linear with a slope of and an intercept of zero. -
Note that the original mention of Boyle’s law in the question mistakenly refers to a relationship between pressure and temperature at constant volume. However, Boyle’s law indeed describes the pressure and volume relationship at constant temperature.
-
Regarding the table of statements:
- The statement “
” correctly defines force as mass times acceleration. - The statement “Gas particle collisions decrease as volume decreases” is incorrect; in fact, when the volume decreases (at constant temperature), the gas particles collide more frequently, which leads to an increase in pressure.
- The statement “
” correctly defines pressure as force per unit area.
- The statement “
Thus, the linear graph of volume versus
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Simplify this solution 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!
