AP Physics C Questions on Charles's Law: Test Prep

📚 Quick Study Guide

• 🌡️ Charles's Law describes how gases tend to expand when heated.
• 🧮 The formula for Charles's Law is: $\frac{V_1}{T_1} = \frac{V_2}{T_2}$, where $V$ is volume and $T$ is temperature (in Kelvin).
• ⚠️ Temperature MUST be in Kelvin. To convert from Celsius to Kelvin: $T(K) = T(°C) + 273.15$.
• ⚛️ Charles's Law assumes constant pressure and number of moles.
• 🧪 This law is a special case of the Ideal Gas Law.
• 💡 Remember, volume and temperature are directly proportional. If temperature increases, volume increases proportionally.

Practice Quiz

1. A gas occupies 5.0 L at 27°C. What volume will it occupy at 227°C, assuming constant pressure?
   1. 2.5 L
   2. 6.7 L
   3. 8.3 L
   4. 10.0 L
2. A balloon has a volume of 2.0 L at 20°C. If the temperature is increased to 40°C, what is the new volume, assuming constant pressure?
   1. 1.0 L
   2. 2.14 L
   3. 4.0 L
   4. 0.8 L
3. A container of gas at 300 K has a volume of 10.0 L. If the volume is decreased to 5.0 L, what is the new temperature, assuming constant pressure?
   1. 150 K
   2. 300 K
   3. 450 K
   4. 600 K
4. A gas occupies a volume of 12.0 L at 10°C. At what temperature will the gas occupy a volume of 15.0 L, assuming constant pressure?
   1. 7.5 °C
   2. 37.5 °C
   3. 64.8 °C
   4. 92.1 °C
5. If a gas has a volume of 4.0 L at standard temperature (0°C), what is the volume if the temperature is doubled (to 0°C * 2 = 0°C)?
   1. 2.0 L
   2. 4.0 L
   3. 8.0 L
   4. 16.0 L
6. A cylinder contains 8.0 L of gas at 25°C. If the temperature is reduced to -25°C, what is the new volume, assuming constant pressure?
   1. 6.7 L
   2. 7.3 L
   3. 8.7 L
   4. 9.3 L
7. A gas occupies 20.0 L at 30°C. What volume will it occupy at -30°C, assuming constant pressure?
   1. 14.5 L
   2. 16.5 L
   3. 18.5 L
   4. 22.5 L