This topic explores the internal energy of systems, focusing on the kinetic and potential energy of molecules. It introduces the first law of thermodynamic
Topic Synopsis
This topic explores the internal energy of systems, focusing on the kinetic and potential energy of molecules. It introduces the first law of thermodynamics, the concept of thermal equilibrium, and the calculation of work done by gases, alongside specific heat capacity for solids and liquids.
Key Concepts & Core Principles
- Internal Energy (U): The total sum of the randomly distributed kinetic and potential energies of the atoms or molecules within a system. For an ideal gas, internal energy is solely kinetic.
- Specific Heat Capacity (c): The amount of energy required to raise the temperature of 1 kg of a substance by 1 Kelvin (or 1 degree Celsius) without changing its state. (Q = mcΔT)
- Specific Latent Heat (L): The amount of energy required to change the state (phase) of 1 kg of a substance at constant temperature. It can be specific latent heat of fusion (melting/freezing) or vaporisation (boiling/condensing). (Q = mL)
- Ideal Gas Equation (PV=nRT): A fundamental equation relating the pressure (P), volume (V), number of moles (n), and absolute temperature (T) of an ideal gas, where R is the molar gas constant.
- First Law of Thermodynamics (ΔU = Q - W): A statement of the conservation of energy, where the change in internal energy (ΔU) of a system is equal to the heat supplied to the system (Q) minus the work done by the system (W).
Exam Tips & Revision Strategies
- Always check the sign convention for the first law of thermodynamics (ΔU = Q - W) carefully
- When calculating work from a p-V graph, ensure the area is calculated correctly, especially if the graph is non-linear
- Remember that for solids and liquids, the change in internal energy is essentially equal to the heat added
- Be prepared to interpret negative values for ΔU, Q, and W in the context of energy transfer
Common Misconceptions & Mistakes to Avoid
- Confusing internal energy with heat or temperature
- Incorrectly assigning signs to Q and W in the first law of thermodynamics
- Assuming work done is always pΔV even when pressure is not constant
- Failing to recognize that work is negligible for solids and liquids in thermal processes
Examiner Marking Points
- Internal energy as the sum of potential and kinetic energies of molecules
- Absolute zero as the temperature of minimum internal energy
- Internal energy of an ideal monatomic gas as U = 3/2 nRT
- Heat as energy in transit between systems of different temperatures
- Thermal equilibrium defined by no net heat flow between systems at the same temperature
- Work as energy in transit, calculated as W = pΔV for constant pressure
- Work done as the area under a p-V graph for varying pressure
- First law of thermodynamics: ΔU = Q - W