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)
21. Kinetic Theory of Ideal Gases
The Ideal Gas Law
21. Kinetic Theory of Ideal Gases
The Ideal Gas Law: Study with Video Lessons, Practice Problems & Examples
91PRACTICE PROBLEM
At STP, 2.00 moles of helium gas undergoes isothermal expansion so that the volume at point B is 2.2 times the volume at point A. The pressure drops to point C as heat is extracted at a constant volume. The gas goes back to its original state (A) through adiabatic compression. What is the temperature at point C? Assume helium gas behaves like an ideal gas.
![Graph showing pressure vs. volume for helium gas during isothermal and adiabatic processes.](data:image/png;base64,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)
At STP, 2.00 moles of helium gas undergoes isothermal expansion so that the volume at point B is 2.2 times the volume at point A. The pressure drops to point C as heat is extracted at a constant volume. The gas goes back to its original state (A) through adiabatic compression. What is the temperature at point C? Assume helium gas behaves like an ideal gas.