When heated by 1 K, the internal energy of oxygen increases by 300 J. What is the mass of oxygen?
| May 29, 2021 | education
Data: ΔT (temperature change of taken oxygen) = 1 K; ΔU (increase in internal energy) = 300 J.
Constants: R (universal gas constant) = 8.31 J / (mol * K); M (molar mass) = 0.032 kg / mol; i (the number of degrees of freedom of oxygen molecules) = 5.
The mass of heated oxygen is determined using the formula: ΔU = i / 2 * m / M * R * ΔT, whence the mass of oxygen: m = ΔU * 2 * M / (i * R * ΔT).
Calculation: m = 300 * 2 * 0.032 / (5 * 8.31 * 1) = 0.462 kg.
Answer: 462 grams of oxygen was heated.
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