# Calculate the concentration of gas molecules moving at a speed of 500 m / s

August 30, 2021 | education

| **Calculate the concentration of gas molecules moving at a speed of 500 m / s if the mass of the molecule is 3 * 10 ^ -25. The gas pressure in the vessel is 10 MPa**

v = 500 m / s.

m = 3 * 10 ^ -25 kg.

P = 10 MPa = 10 * 10 ^ 6 Pa.

n -?

Let us write down the basic equation of the molecular kinetic theory of gases: P = n * m * v ^ 2/3.

n = 3 * P / 3 * m * v ^ 2.

n = 3 * 10 * 10 ^ 6 Pa / 3 * 10 ^ -25 kg * (500 m / s) ^ 2 = 4 * 10 ^ 26 m ^ -3.

Answer: n = 4 * 10 ^ 26 m ^ -3.