Question
Write the assumptions of kinetic theory of gases. Derive the following expression of the pressure exerted by an ideal gas:
Also, using this expression deduce Avogadro’s law. What is the kinetic interpretation temperature?
Answer :
Word Count : 711
### Assumptions of Kinetic Theory of Gases The kinetic theory of gases is based on the following assumptions: 1. Large Number of Molecules: A gas consists of a large number of molecules moving in random directions with different speeds. 2. Negligible Molecular Volume: The volume occupied by individual gas molecules is negligible compared to the total volume of the gas. 3. Negligible Intermolecular Forces: Molecules exert no attractive or repulsive forces on each other except during collisions. 4. Perfectly Elastic Collisions: Collisions between gas molecules and between molecules and container walls are perfectly elastic, meaning no kinetic energy is lost. 5. Random Motion: Gas molecules move in all possible directions, and their velocities are randomly distributed. 6. Newtonian Mechanics Applies: The motion of gas molecules follows Newton's laws of motion. 7. Mean Free Path: The distance a molecule travels before colliding with another molecule is large compared to its size. --- ### Derivation of the Expression for Pressure of an Ideal Gas Consider a cubic container of edge length \( L \), containing \( n \) molecules ____ __________ ____ ________ _________.
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### Assumptions of Kinetic Theory of Gases The kinetic theory of gases is based on the following assumptions: 1. Large Number of Molecules: A gas consists of a large number of molecules moving in random directions with different speeds. 2. Negligible Molecular Volume: The volume occupied by individual gas molecules is negligible compared to the total volume of the gas. 3. Negligible Intermolecular Forces: Molecules exert no attractive or repulsive forces on each other except during collisions. 4. Perfectly Elastic Collisions: Collisions between gas molecules and between molecules and container walls are perfectly elastic, meaning no kinetic energy is lost. 5. Random Motion: Gas molecules move in all possible directions, and their velocities are randomly distributed. 6. Newtonian Mechanics Applies: The motion of gas molecules follows Newton's laws of motion. 7. Mean Free Path: The distance a molecule travels before colliding with another molecule is large compared to its size. --- ### Derivation of the Expression for Pressure of an Ideal Gas Consider a cubic container of edge length \( L \), containing \( n \) molecules ____ __________ ____ ________ _________.
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