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 Otto Cycle
23. The Second Law of Thermodynamics
The Otto Cycle: Study with Video Lessons, Practice Problems & Examples
5PRACTICE PROBLEM
In a high-performance motorcycle engine, air mixed with fuel is compressed adiabatically in a cylinder before ignition. The engine operates on a process that closely follows the Otto cycle. The air-fuel mixture, which behaves as an ideal gas, enters the cylinder at a temperature of 30°C. Due to the ignition, the temperature subsequently reaches 600°C. Assuming the air-fuel mixture is diatomic, and given that the specific heat ratio γ for the gas is 1.4, calculate the maximum compression ratio of the motorcycle engine.
![Pressure-volume diagram illustrating the Otto cycle with labeled states and heat transfer.](data:image/png;base64,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)
In a high-performance motorcycle engine, air mixed with fuel is compressed adiabatically in a cylinder before ignition. The engine operates on a process that closely follows the Otto cycle. The air-fuel mixture, which behaves as an ideal gas, enters the cylinder at a temperature of 30°C. Due to the ignition, the temperature subsequently reaches 600°C. Assuming the air-fuel mixture is diatomic, and given that the specific heat ratio γ for the gas is 1.4, calculate the maximum compression ratio of the motorcycle engine.