Physics

Thermal Energy Calculator

Find the thermal energy of an ideal monatomic gas.

Calculated Output

Thermal energy (J) 3,741.51

Formula: U = (3/2)·n·R·T

Step-by-Step Breakdown

1. Values used:

2. Amount = 1 mol

3. Temperature = 300 K

5. Thermal energy = 3,741.51J

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The math behind it

U = (3/2)·n·R·T. Each degree of freedom contributes ½kT per molecule.

1 mol at 300 K → about 3742 J.

What about diatomic gases?

They have more degrees of freedom: U = (5/2)nRT at room temperature.