Gas Kinetic Theory Assumptions

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Questions and Answers

What are the assumptions made in the gas model theory to simplify the model?

Many molecules, moving rapidly and randomly, described by Newtonian mechanics, far apart with no pull, elastic collisions, forces only during collisions, small volume compared to gas volume.

How is the pressure of gas on the walls of a box caused?

The pressure is caused by collisions of the molecules against the walls.

How can the pressure of a gas be expressed in terms of force and area?

Pressure is the force per unit area.

What is the relationship between a molecule's momentum change and force when it hits a wall?

The force is given by the rate of change of momentum when a molecule hits the wall. Signup and view all the answers

What is the significance of considering momentum as a vector quantity in the context of gas molecules hitting a wall?

Momentum being a vector quantity helps in understanding the direction and magnitude of the force exerted when molecules collide with the wall. Signup and view all the answers

How can the average pressure exerted by all the gas molecules be calculated based on the speed of a single molecule?

Average pressure can be calculated by considering the number of collisions per second and the change in momentum per second. Signup and view all the answers

What is the average change in momentum per second for n molecules on one face of a box?

1/3nml Signup and view all the answers

How is the root mean square speed different from the mean speed?

The root mean square speed is not the same as the mean speed. It is the square root of the mean of the squares of the speeds. Signup and view all the answers

What is the formula for pressure due to all the molecules in a box?

P = 1/3nml^2/V Signup and view all the answers

Explain the concept of RMS Speed.

The RMS Speed is the square root of the mean of the squares of the speeds. It represents the 'root mean square' value of the speed. Signup and view all the answers