Table of contents
- 0. Math Review(0)
- 1. Intro to Physics Units(0)
- 2. 1D Motion / Kinematics(0)
- Vectors, Scalars, & Displacement(0)
- Average Velocity(0)
- Intro to Acceleration(0)
- Position-Time Graphs & Velocity(0)
- Conceptual Problems with Position-Time Graphs(0)
- Velocity-Time Graphs & Acceleration(0)
- Calculating Displacement from Velocity-Time Graphs(0)
- Conceptual Problems with Velocity-Time Graphs(0)
- Calculating Change in Velocity from Acceleration-Time Graphs(0)
- Graphing Position, Velocity, and Acceleration Graphs(0)
- Kinematics Equations(0)
- Vertical Motion and Free Fall(0)
- Catch/Overtake Problems(0)
- 3. Vectors(0)
- Review of Vectors vs. Scalars(0)
- Introduction to Vectors(0)
- Adding Vectors Graphically(0)
- Vector Composition & Decomposition(0)
- Adding Vectors by Components(0)
- Trig Review(0)
- Unit Vectors(0)
- Introduction to Dot Product (Scalar Product)(0)
- Calculating Dot Product Using Components(0)
- Intro to Cross Product (Vector Product)(0)
- Calculating Cross Product Using Components(0)
- 4. 2D Kinematics(0)
- 5. Projectile Motion(0)
- 6. Intro to Forces (Dynamics)(0)
- 7. Friction, Inclines, Systems(0)
- 8. Centripetal Forces & Gravitation(0)
- Uniform Circular Motion(0)
- Period and Frequency in Uniform Circular Motion(0)
- Centripetal Forces(0)
- Vertical Centripetal Forces(0)
- Flat Curves(0)
- Banked Curves(0)
- Newton's Law of Gravity(0)
- Gravitational Forces in 2D(0)
- Acceleration Due to Gravity(0)
- Satellite Motion: Intro(0)
- Satellite Motion: Speed & Period(0)
- Geosynchronous Orbits(0)
- Overview of Kepler's Laws(0)
- Kepler's First Law(0)
- Kepler's Third Law(0)
- Kepler's Third Law for Elliptical Orbits(0)
- Gravitational Potential Energy(0)
- Gravitational Potential Energy for Systems of Masses(0)
- Escape Velocity(0)
- Energy of Circular Orbits(0)
- Energy of Elliptical Orbits(0)
- Black Holes(0)
- Gravitational Force Inside the Earth(0)
- Mass Distribution with Calculus(0)
- 9. Work & Energy(0)
- 10. Conservation of Energy(0)
- Intro to Energy Types(0)
- Gravitational Potential Energy(0)
- Intro to Conservation of Energy(0)
- Energy with Non-Conservative Forces(0)
- Springs & Elastic Potential Energy(0)
- Solving Projectile Motion Using Energy(0)
- Motion Along Curved Paths(0)
- Rollercoaster Problems(0)
- Pendulum Problems(0)
- Energy in Connected Objects (Systems)(0)
- Force & Potential Energy(0)
- 11. Momentum & Impulse(0)
- Intro to Momentum(0)
- Intro to Impulse(0)
- Impulse with Variable Forces(0)
- Intro to Conservation of Momentum(0)
- Push-Away Problems(0)
- Types of Collisions(0)
- Completely Inelastic Collisions(0)
- Adding Mass to a Moving System(0)
- Collisions & Motion (Momentum & Energy)(0)
- Ballistic Pendulum(0)
- Collisions with Springs(0)
- Elastic Collisions(0)
- How to Identify the Type of Collision(0)
- Intro to Center of Mass(0)
- 12. Rotational Kinematics(0)
- 13. Rotational Inertia & Energy(0)
- More Conservation of Energy Problems(0)
- Conservation of Energy in Rolling Motion(0)
- Parallel Axis Theorem(0)
- Intro to Moment of Inertia(0)
- Moment of Inertia via Integration(0)
- Moment of Inertia of Systems(0)
- Moment of Inertia & Mass Distribution(0)
- Intro to Rotational Kinetic Energy(0)
- Energy of Rolling Motion(0)
- Types of Motion & Energy(0)
- Conservation of Energy with Rotation(0)
- Torque with Kinematic Equations(0)
- Rotational Dynamics with Two Motions(0)
- Rotational Dynamics of Rolling Motion(0)
- 14. Torque & Rotational Dynamics(0)
- 15. Rotational Equilibrium(0)
- 16. Angular Momentum(0)
- Opening/Closing Arms on Rotating Stool(0)
- Conservation of Angular Momentum(0)
- Angular Momentum & Newton's Second Law(0)
- Intro to Angular Collisions(0)
- Jumping Into/Out of Moving Disc(0)
- Spinning on String of Variable Length(0)
- Angular Collisions with Linear Motion(0)
- Intro to Angular Momentum(0)
- Angular Momentum of a Point Mass(0)
- Angular Momentum of Objects in Linear Motion(0)
- 17. Periodic Motion(0)
- 18. Waves & Sound(0)
- Intro to Waves(0)
- Velocity of Transverse Waves(0)
- Velocity of Longitudinal Waves(0)
- Wave Functions(0)
- Phase Constant(0)
- Average Power of Waves on Strings(0)
- Wave Intensity(0)
- Sound Intensity(0)
- Wave Interference(0)
- Superposition of Wave Functions(0)
- Standing Waves(0)
- Standing Wave Functions(0)
- Standing Sound Waves(0)
- Beats(0)
- The Doppler Effect(0)
- 19. Fluid Mechanics(0)
- 20. Heat and Temperature(0)
- Temperature(0)
- Linear Thermal Expansion(0)
- Volume Thermal Expansion(0)
- Moles and Avogadro's Number(0)
- Specific Heat & Temperature Changes(0)
- Latent Heat & Phase Changes(0)
- Intro to Calorimetry(0)
- Calorimetry with Temperature and Phase Changes(0)
- Advanced Calorimetry: Equilibrium Temperature with Phase Changes(0)
- Phase Diagrams, Triple Points and Critical Points(0)
- Heat Transfer(0)
- 21. Kinetic Theory of Ideal Gases(0)
- 22. The First Law of Thermodynamics(0)
- 23. The Second Law of Thermodynamics(0)
- 24. Electric Force & Field; Gauss' Law(0)
- 25. Electric Potential(0)
- 26. Capacitors & Dielectrics(0)
- 27. Resistors & DC Circuits(0)
- 28. Magnetic Fields and Forces(0)
- 29. Sources of Magnetic Field(0)
- Magnetic Field Produced by Moving Charges(0)
- Magnetic Field Produced by Straight Currents(0)
- Magnetic Force Between Parallel Currents(0)
- Magnetic Force Between Two Moving Charges(0)
- Magnetic Field Produced by Loops and Solenoids(0)
- Toroidal Solenoids aka Toroids(0)
- Biot-Savart Law (Calculus)(0)
- Ampere's Law (Calculus)(0)
- 30. Induction and Inductance(0)
- 31. Alternating Current(0)
- Alternating Voltages and Currents(0)
- RMS Current and Voltage(0)
- Phasors(0)
- Resistors in AC Circuits(0)
- Phasors for Resistors(0)
- Capacitors in AC Circuits(0)
- Phasors for Capacitors(0)
- Inductors in AC Circuits(0)
- Phasors for Inductors(0)
- Impedance in AC Circuits(0)
- Series LRC Circuits(0)
- Resonance in Series LRC Circuits(0)
- Power in AC Circuits(0)
- 32. Electromagnetic Waves(0)
- 33. Geometric Optics(0)
- 34. Wave Optics(0)
- 35. Special Relativity(0)
23. The Second Law of Thermodynamics
The Carnot Cycle
23. The Second Law of Thermodynamics
The Carnot Cycle: Study with Video Lessons, Practice Problems & Examples
11PRACTICE PROBLEM
A single mole of a monatomic gas is subjected to a Carnot cycle, with the hot reservoir at 450°C and the cold reservoir at 300°C. The initial pressure is set at 10 atm, and the volume triples during the isothermal expansion phase. Calculate the efficiency of this cycle.
![Graph illustrating the Carnot cycle with pressure and volume changes, showing states a, b, c, and d.](data:image/png;base64,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)
A single mole of a monatomic gas is subjected to a Carnot cycle, with the hot reservoir at 450°C and the cold reservoir at 300°C. The initial pressure is set at 10 atm, and the volume triples during the isothermal expansion phase. Calculate the efficiency of this cycle.