Determine the number of gas molecules in a 20 liter vessel under a pressure of 10 ^ 5 PA.

Determine the number of gas molecules in a 20 liter vessel under a pressure of 10 ^ 5 PA. The kinetic energy of molecules is 5 * 10 ^ -25 J.

V = 20 l = 20 * 10 ^ -3 m ^ 3.

P = 10 ^ 5 Pa.

Ek = 5 * 10 ^ -25 J.

N -?

Let’s write down the basic equation of the molecular kinetic theory of gases: P = 2 * N * Ek / 3 * V.

N = 3 * P * V / 2 * Ek.

N = 3 * 10 ^ 5 Pa * 20 * 10 ^ -3 m ^ 3/2 * 5 * 10 ^ -25 J = 6 * 10 ^ 27.

Answer: N = 6 * 10 ^ 27.



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