Which of the following gas laws best explains the rapid increase in volume and pressure when an aerial shell explodes?
A
Combined Gas Law
B
Boyle's Law
C
Charles's Law
D
Gay-Lussac's Law
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1
Understand that the problem involves changes in volume and pressure of a gas during an explosion, which typically also involves temperature changes.
Recall that Boyle's Law relates pressure and volume at constant temperature: \(P_1 V_1 = P_2 V_2\), but it does not account for temperature changes.
Recall that Charles's Law relates volume and temperature at constant pressure: \(\frac{V_1}{T_1} = \frac{V_2}{T_2}\), but it does not account for pressure changes.
Recall that Gay-Lussac's Law relates pressure and temperature at constant volume: \(\frac{P_1}{T_1} = \frac{P_2}{T_2}\), but it does not account for volume changes.
Recognize that the Combined Gas Law combines Boyle's, Charles's, and Gay-Lussac's laws to relate pressure, volume, and temperature changes simultaneously: \(\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}\). This law best explains the rapid increase in both volume and pressure during an explosion where temperature also changes.