What is the kinetic average energy of an ideal gas at a pressure of 8 * 10 ^ 5Pa, If 1m3 contains 3 * 10 ^ 27
| February 10, 2021 | education
To determine the value of the average kinetic energy of the molecules of the specified ideal gas, we apply the formula: P = 2/3 * n * Ek = 2/3 * (N / V) * Ek, whence we express: Ek = P * 3 * V / (2 * N ).
Values of variables: P – pressure (P = 8 * 105 Pa); V is the volume of the indicated gas (V = 1 m3); N is the number of molecules (N = 3 * 10 ^ 27 pcs.).
Calculation: Ek = P * 3 * V / (2 * N) = 8 * 10 ^ 5 * 3 * 1 / (2 * 3 * 10 ^ 27) = 4 * 10 ^ -22 J 400 iJ.
Answer: The average kinetic energy of the specified ideal gas is 400 iJ.
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