The average kinetic energy of an ideal gas,per molecule in S.I units at 25°C will be
Average kinetic energy = (3/2)KT
=3/2 kT
=3/2 ×8.314/6.022×(10)^(-23) ×298
=6.17×(10)^(-21)
To calculate the average kinetic energy of an ideal gas per molecule in SI units at 25°C, you can use the formula:
Average Kinetic Energy = (3/2) * Boltzmann constant * Temperature
Where:
- The Boltzmann constant (kB) is equal to 1.380649 x 10^-23 J/K
- The temperature (T) is in Kelvin (K)
To convert 25°C to Kelvin, you need to add 273.15 to it:
Temperature in Kelvin = 25°C + 273.15 = 298.15 K
Now, substitute the values into the formula:
Average Kinetic Energy = (3/2) * 1.380649 x 10^-23 J/K * 298.15 K
Simplifying the equation:
Average Kinetic Energy ≈ 6.21 x 10^-21 J
Therefore, the average kinetic energy of an ideal gas per molecule in SI units at 25°C is approximately 6.21 x 10^-21 joules.