Answer:
Pressure exerted on the wall is 8775 kgm/s²
Explanation:
Parameters given:
Time = 1s
Number of molecules: 5*10²³
Area: 8cm² = 8*0.0001 = 0.0008m²
Speed of molecules: 300m/s
Mass of N₂ molecule: 4.68 x 10⁻²⁶ kg
Pressure = Force/Area
Total pressure of N molecules will be:
Pressure = Force*Number of molecules/Area
Force is given as:
Force= mass*acceleration
And acceleration is:
Acceleration = velocity/time
Therefore,
Force = (mass*velocity)/time
Pressure = (mass*N*velocity)/(Area*time)
Pressure = (4.68 x 10⁻²⁶*5*10²³*300)/(0.0008*1)
Pressure = 7.02/0.0008
Pressure = 8775 kgm/s²