Learning objective
State the first law of thermodynamics and know the sign convention.
Understand and calculate the work of a gas as an area on the $p$–$V$ diagram.
Learn to find $Q$, $A$ and $\Delta U$ in isoprocesses and the adiabatic process.
Know the polytropic process equation and its heat capacity.
Expected outcomes
Applies the first law to any ideal-gas process by writing the energy balance.
Calculates the isothermal work $A = \nu RT\ln(V_2/V_1)$ and the adiabatic work $A = (p_1V_1 - p_2V_2)/(\gamma - 1)$.
Finds the temperature and pressure in adiabatic compression using Poisson's equation.
Identifies the type of process and the sign of the heat capacity from the polytropic index $n$.
Activities
Lecture
Lecture · 1 h 20 min ·
required
Problem solving on the topic "The first law of thermodynamics and its application to isoprocesses"
Practice · 1 h 20 min ·
required
The law of conservation of energy. Perpetual motion machines
Self-study · 6 h ·
optional
Polytropic processes in an ideal gas
Self-study · 6 h ·
optional
Final test
Test · 20 min ·
required
· pass ≥ 70%
Completion conditions
- Lecture
- Problem solving on the topic "The first law of thermodynamics and its application to isoprocesses"
- Final test — at least 70%