Questions: If you were explaining Boyle's law to a friend who does not understand it, you would likely make all of the following points except
a. A decrease in the volume of a container raises the pressure in the reduced space.
b. Pressure and volume are inversely related.
c. An increase in the volume of a container lowers the pressure of the air inside.
d. An increase in the volume of a container raises the pressure of the air inside.
Transcript text: If you were explaining Boyle's law to a friend who does not understand it, you would likely make all of the following points except
a. A decrease in the volume of a container raises the pressure in the reduced space.
b. Pressure and volume are inversely related.
c. An increase in the volume of a container lowers the pressure of the air inside.
d. An increase in the volume of a container raises the pressure of the air inside.
Solution
Solution Steps
Step 1: Identify Boyle's Law
Boyle's Law states that for a given amount of gas at constant temperature, the pressure of the gas is inversely proportional to its volume. Mathematically, this is expressed as:
\[ P \propto \frac{1}{V} \]
or
\[ PV = k \]
where \( P \) is the pressure, \( V \) is the volume, and \( k \) is a constant.
Step 2: Analyze Each Statement
Statement a: "A decrease in the volume of a container raises the pressure in the reduced space." This is consistent with Boyle's Law because reducing volume increases pressure.
Statement b: "Pressure and volume are inversely related." This directly describes Boyle's Law.
Statement c: "An increase in the volume of a container lowers the pressure of the air inside." This is also consistent with Boyle's Law because increasing volume decreases pressure.
Statement d: "An increase in the volume of a container raises the pressure of the air inside." This contradicts Boyle's Law because increasing volume should decrease pressure, not raise it.