Determine the internal energy of one mole of nitrogen at a temperature of 127 degrees Celsius

The internal energy of nitrogen (nitrogen gas (N2) is a diatomic gas) can be calculated using the formula:

U = 5/2 (m / M) * R * T, where m / M = υ is the amount of substance (by the condition υ = 1 mol), R is the universal gas constant (const, R = 8.31 J / (mol * K)), T is the absolute temperature of nitrogen (T = 127 ºС = 127 + 273 K = 400 K).

U = 5/2 υ * R * T.

Let’s perform the calculation:

U = 5/2 υ * R * T = 2.5 * 1 * 8.31 * 400 = 8310 J.

Answer: The internal energy of one mole of nitrogen is 8310 J.