AP Physics 2: Isochoric Process Questions and Answers

📚 Quick Study Guide

• 🌡️ Isochoric process means constant volume. Think of it as a rigid container.
• 📏 Volume (V) is constant: $\Delta V = 0$
• ⚙️ Work done (W) is zero: $W = P\Delta V = 0$
• 🔥 First Law of Thermodynamics simplifies to: $\Delta U = Q$ (Change in internal energy equals heat added/removed)
• ⚛️ $\Delta U = nC_V\Delta T$, where $n$ is the number of moles, $C_V$ is the molar specific heat at constant volume, and $\Delta T$ is the change in temperature.
• ⚖️ $Q = nC_V\Delta T$ (Heat transfer at constant volume)
• 🧮 The ideal gas law becomes: $\frac{P_1}{T_1} = \frac{P_2}{T_2}$ (Pressure is directly proportional to temperature)

🧪 Practice Quiz

1. Which of the following statements is true for an isochoric process?
   1. A) The volume of the system changes.
   2. B) The pressure of the system remains constant.
   3. C) No work is done by or on the system.
   4. D) The temperature of the system remains constant.
2. In an isochoric process, if heat is added to the system, what happens to the internal energy?
   1. A) It decreases.
   2. B) It remains constant.
   3. C) It increases.
   4. D) It becomes zero.
3. What is the work done in an isochoric process?
   1. A) $P\Delta V$
   2. B) $nRT$
   3. C) Zero
   4. D) $nC_P\Delta T$
4. If the temperature of a gas in a rigid container increases, what happens to the pressure?
   1. A) It decreases.
   2. B) It remains constant.
   3. C) It increases.
   4. D) It oscillates.
5. Which equation is most relevant for calculations in an isochoric process?
   1. A) $PV = nRT$
   2. B) $W = P\Delta V$
   3. C) $\Delta U = Q$
   4. D) $PV^\gamma = constant$
6. A rigid container holds a gas at 300 K and 1 atm. If the temperature is increased to 600 K, what is the new pressure?
   1. A) 0.5 atm
   2. B) 1 atm
   3. C) 2 atm
   4. D) 4 atm
7. What quantity remains constant during an isochoric process?
   1. A) Pressure
   2. B) Temperature
   3. C) Volume
   4. D) Internal Energy