a) Kinetic theory. The speed of sound in theair is 330 m/s under standard conditions of temperature andpressure (273 K and 1 atm). Since the size of a molecule is muchsmaller than the average distance between the molecules, thisnumber provides an estimate of the order of magnitude of themolecular media velocity. Consider a cubic meter of air andconcentrate it on a N2 molecule that travels in the x direction at330 m / s. Its mass is equal to 28 grams / 6.02 x 10 ^ 23.
1) Calculate the amount of movement imparted to the wall when itcollides in an elastic way with it. Why is twice the amount ofmovement that it has?

2) How long does it take to do the 2-meter round trip betweencollisions against the same wall? Note that collisions betweenmolecules (ideal gas) are not taken into account.

3) What is the average force exerted by a molecule on thewall?

4) If it is known that 6.02 x 10 ^ 23 N2 molecules (i.e. 28grams) occupy 22.4 liters in standard conditions of temperature andpressure. How many molecules are in 1m ^ 3?

5) Assume that one third of all specific molecules average theforce on the wall perpendicular to the x direction. Calculate thepressure (= force / 1m ^ 2) on the wall.

NOTE: It is expected to obtain a pressure of 1 atm (= 10 ^ 5N /m ^ 2). The calculations give a lower pressure. This is because thespeed of sound underestimates the effective molecular speed by afactor of (1.4 / 3) ^ 1/2.