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)
22. The First Law of Thermodynamics
First Law of Thermodynamics
22. The First Law of Thermodynamics
First Law of Thermodynamics: Study with Video Lessons, Practice Problems & Examples
17PRACTICE PROBLEM
Using the ideal gas law, determine the amount of heat directed at the diatomic gas from points b to c as seen in the process shown below.
![Graph showing pressure vs. volume for a diatomic gas, indicating points a, b, and c.](data:image/png;base64,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)
Using the ideal gas law, determine the amount of heat directed at the diatomic gas from points b to c as seen in the process shown below.