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
90PRACTICE PROBLEM
At STP, 2.00 moles of helium gas undergoes isothermal expansion so that the volume at point B is 3.2 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 are the pressures at points B and 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 3.2 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 are the pressures at points B and C? Assume helium gas behaves like an ideal gas.