-3 What is the mean kinetic energy
of individual nitrogen
molecules
at 1500k in Joules 9 en electron volts?
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Answer:
The average kinetic energy of the molecules is 5.66 × 10⁻²¹ J.
According to Kinetic Molecular Theory, the average kinetic energy of gas molecules is a function only of temperature.
The formula is
K
E
=
3
2
k
T
where
T
is the Kelvin temperature and
k
is Boltzmann's constant.
K
E
=
3
2
×
1.381
×
10
⁻
²
³
J⋅K⁻¹
×
273
K
= 5.66 × 10⁻²¹ J
For a mole of molecules, the average kinetic energy is
5.66
×
10
⁻
²
¹
J
1
molecule
×
6.022
×
10
²
³
molecules
1
mol
= 3.41 ×10³ J/mol = 3.41 kJ/mol
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