The mass of a hydrogen molecule is 3.32 × 10^-27 kg. If 10^23 hydrogen molecules strike, per second, a fixed wall of area 2 cm^2 t an angle

Question

The mass of a hydrogen molecule is 3.32 × 10^-27 kg. If 10²³ hydrogen molecules strike, per second, a fixed wall of area 2 cm² at an angle of 45° to the normal and rebound elastically with a speed of 103 m/s, then the pressure on the wall is nearly:

(A) 2.35 × 10² N/m²

(B) 4.70 × 10² N/m²

(C) 2.35 × 10³ N/m²

(D) 4.70 × 10³ N/m²

Answer 1

Change in momentum of one molecule,

Where, n = no. of molecules incident per unit time

Pressure P = \(\frac{Force}{Area}\)

(C) 2.35 × 10³ N/m²