The internal energy of an ideal gas is 3.2 kJ. The temperature has changed by 150 K. Find the amount of substance?

To find out the amount of substance of the specified ideal gas, we use the formula: U = 3 * ν * R * ΔT / 2, from where we express: ν = 2 * U / (3 * R * ΔT).

Const: R – univers. gas constant (R = 8.31 J / (mol * K)).

Data: U – internal energy of the specified ideal gas (U = 3.2 kJ = 3.2 * 10 ^ 3 J); ΔT – temperature change (ΔT = 150 K).

Let’s perform the calculation: ν = 2 * U / (3 * R * ΔT) = 2 * 3.2 * 10 ^ 3 / (3 * 8.31 * 150) ≈ 1.71 mol.

Answer: The amount of substance of the indicated ideal gas is 1.71 mol.