In a period of 1.00 s, 5.00 x1023 nitrogen molecules strike a wall with an areaof8.00 cm2. If the molecules move with a speed of300 m/s and strike the wall head on in elastic collisions, what isthe pressure exerted on the wall? (The mass of oneN2 molecule is 4.68 x 10-26 kg.)

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