An increase in the internal energy of 4 kg of helium 25200 J. How much has its temperature changed?
| January 17, 2021 | education
To determine the change in the temperature of the taken helium, we will use the formula: ΔU = i / 2 * (m / MHe) * R * ΔT, whence ΔT = 2 * MHe * ΔU / (i * m * R).
Constants and variables: MНе – molar mass of helium (MНе ≈ 4 * 10-3 kg / mol); ΔU – increase in internal energy (ΔU = 25200 J); i is the number of degrees of freedom (for helium i = 3; m is the mass of helium taken (m = 4 kg); R is the universal gas constant (R = 8.31 J / (mol * K)).
Calculation: ΔT = 2 * MHe * ΔU / (i * m * R) = 2 * 4 * 10-3 * 25200 / (3 * 4 * 8.31) = 2.02 K.
Answer: The temperature increase of the taken helium is 2.02 K.
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