Average Kinetic Energy Calculator, Formula, Average Kinetic Energy Calculation

Average Kinetic Energy Calculator:

Enter the values of Gas Constant R_{(8.314J/mol*K)}, Avogadro’s Number N_{(6.022 * 10}²³ _atoms/mol) & Temperature T_(K)  to determine the value of Average Kinetic Energy K_(J).

Average Kinetic Energy Formula:

The Average Kinetic Energy K_(J) in Joules is Equal to the 1.5value into Multiply the Gas Constant R_{(8.314J/mol*K)} in 8.314 Joules per mol * Kelvin and is Divided by the Avogadro’s Number N_{(6.022 * 10}²³ _atoms/mol) in 6.022 * 1023 atoms/mol and Multiply the Temperature T_(K) in Kelvin.

The Formula of Average Kinetic Energy can be written as,

K_(J) = (3/2) * (R_{(8.314J/mol*K)} / N_{(6.022 * 10}²³ _atoms/mol)) * T_(K)

Here,

K_(J) = Average Kinetic Energy in Joules

R_{(8.314J/mol*K)} = Gas Constant in 8.314 Joules per mol * Kelvin

N_{(6.022 * 10}²³ _atoms/mol) = Avogadro’s Number in 6.022 * 10²³ atoms/mol

T_(K) = Temperature in Kelvin

Average Kinetic Energy Calculation:

1) Calculate the Average Kinetic Energy and given for Temperature = 273K.

Answer

K = (3/2) * (R/N) * T

K = 1.5 * (8.314 / 6.022*10²³) * 273

K = 5.6535752e+25Joules.

2) Calculate the Temperature and given for Average Kinetic Energy = 5.6535752e+25Joules.

Answer

K = (3/2) * (R/N) * T

5.6535752e+25 = 1.5 * (8.314 / 6.022*10²³) * T

T = 273K.

Average kinetic energy in simple harmonic motion