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)
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- 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)
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- Geosynchronous Orbits(0)
- Overview of Kepler's Laws(0)
- Kepler's First Law(0)
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- 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)
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- Push-Away Problems(0)
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- 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)
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- Moment of Inertia & Mass Distribution(0)
- Intro to Rotational Kinetic Energy(0)
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- 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)
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- Wave Functions(0)
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- Standing Wave Functions(0)
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- 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
14PRACTICE PROBLEM
Consider a Carnot cycle using a diatomic gas. The volumes at states 1 and 2 are 6.0 L and 12.0 L, respectively. The high temperature is 550°C, and the low temperature is 300°C. The gas used in the cycle is 0.75 moles of a diatomic gas. Calculate the pressures at states 1 and 2. Hint: For a diatomic gas, the adiabatic index γ is 1.4.
![Graph illustrating the Carnot cycle with pressure and volume for a diatomic gas.](data:image/png;base64,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)
Consider a Carnot cycle using a diatomic gas. The volumes at states 1 and 2 are 6.0 L and 12.0 L, respectively. The high temperature is 550°C, and the low temperature is 300°C. The gas used in the cycle is 0.75 moles of a diatomic gas. Calculate the pressures at states 1 and 2. Hint: For a diatomic gas, the adiabatic index γ is 1.4.