Question

loni makes a diagram to help organize what she has learned about the gas laws. boyle’s law charles’s law x which label belongs in the region marked x? involves changes in temperature has a constant volume shows an inversely proportional relationship does not describe pressure changes

Explanation:

1. Recall Boyle's Law: \( P_1V_1 = P_2V_2 \) (constant temperature, inverse relationship between pressure and volume). Charles's Law: \( \frac{V_1}{T_1}=\frac{V_2}{T_2} \) (constant pressure, direct relationship between volume and temperature).
2. Analyze region X (unique to Boyle’s Law, not shared with Charles’s Law):

• "involves changes in temperature": Charles’s Law involves temperature change; Boyle’s Law has constant temperature. Eliminate.
• "has a constant volume": Neither law has constant volume (Boyle’s: \( P \propto \frac{1}{V} \); Charles’s: \( V \propto T \)). Eliminate.
• "shows an inversely proportional relationship": Boyle’s Law (\( P \) and \( V \) are inverse) – Charles’s Law is direct (\( V \) and \( T \)). This fits X (Boyle’s unique).
• "does not describe pressure changes": Boyle’s Law describes pressure-volume changes. Eliminate.

Answer:

shows an inversely proportional relationship