Internal Energy (Ideal Gas)

U = \frac{f}{2} n R T

Internal energy depends only on temperature for ideal gas.

Variables

U

Internal energy

Total internal energy

J

f

Degrees of freedom

3 mono, 5 diatomic

unitless

n

Moles

Amount of gas

mol

R

Gas constant

8.314

J/(mol·K)

T

Temperature

Absolute temperature

K

Derivation

From equipartition theorem: each DoF has ½kT energy.

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