Ideal gas

Energy of an ideal gas

The total internal energy of an ideal gas is given by

𝐸=𝛼𝑁𝑘𝐵𝑇=𝛼𝜈𝑅𝑇=𝜈𝑐𝑉𝑇

where

• 𝑁 is the number of particles;
• 𝑘𝐵 is Boltzmann’s constant;
• 𝜈 is the number of moles;
• 𝑅 is the molar gas constant;
• 𝑇 is the temperature; and
• 𝑐𝑉 =𝛼𝑅 is the molar specific heat at constant volume.

The final equality follows from Specific heat of an ideal gas.

---

tidy | en | SemBr