# Determine the internal energy of a monatomic gas at a pressure of 10 ^ 5 Pa, if it occupies a volume of 10 liters.

September 14, 2021 | education

| Data: P (pressure under which the monatomic gas is located) = 10 ^ 5 Pa; V (the volume occupied by a monatomic gas) = 10 liters (10 dm3, 10 * 10 ^ -3 m3).

Reference data: i (number of degrees of freedom of a monatomic gas) = 3.

The internal energy of the gas is determined by the formula: U = 0.5 * i * P * V.

Let’s calculate: U = 0.5 * 3 * 10 ^ 5 * 10 * 10 ^ -3 = 1500 J (1.5 kJ).

Answer: The internal energy of a monatomic gas at the given parameters is 1.5 kJ.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.