A nozzle throws a stream of gas against a wall with a velocity v much larger than the thermal agitation of the molecules. After collision of the molecules with wall the magnitude of their velocity remains same. Also assume that the force exerted on the wall by the molecules is perpendicular to wall. (This is not strictly true for a rough wall.) Find the pressure exerted on the wall. ( n = number of molecules per unit

Step-by-step solution

Since, the molecules rebound from the wall, the component of velocity perpendicular to wall is reversed, while its velocity parallel to wall does not change. The change in velocity of molecules is parallel to normal N. The magnitude of charge is Δ v → = 2 v ⁡ cos θ The change in momentum of a molecule is Δ p → = m ⁡ Δ v → = 2 m ⁡ v ⁡ cos θ in the direction of normal N. Let n be the number of molecules per unit volume.The number of molecules arriving at an area A of the wall per unit time is the number in a slanted