The cylinder contains oxygen weighing 2 kg, at a temperature of 100K. What is its internal energy equal to?

To find out the required internal energy of the O2 gas in the cylinder, we use the formula: U = 3 * m * R * T / 2MO2.

Const: R – univers. gas constant (R = 8.31 J / (mol * K)); MO2 is the molar mass of oxygen (MO2 = 32 * 10 ^ -3 kg / mol).

Data: m is the mass of oxygen (m = 2 kg); T is the oxygen temperature (T = 100 K).

Let’s make a calculation: U = 3 * m * R * T / 2MO2 = 3 * 2 * 8.31 * 100 / (2 * 32 * 10 ^ -3) ≈ 77.91 * 10 ^ 3 J.

Answer: The internal energy of the O2 gas in the cylinder should be 77.91 kJ.