Determine the number of gas molecules in a 20 liter vessel under a pressure of 10 ^ 5 PA.
| August 30, 2021 | education
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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