Determine the internal energy of 4 moles of helium at 37 degrees Celsius.

To determine the value of the internal energy U of a monoatomic gas, the following formula is used: U = 1.5 ∙ ν ∙ R ∙ T, where the universal gas constant R = 8.31 J / (mol ∙ K), ν is the amount of substance taken, T is the gas temperature …

It is known from the problem statement that ν = 4 mol of helium was taken at a temperature of t = 37 ° C. Let’s translate the temperature value into the SI system according to the formula: T = t + 273. Then:

T = (37 + 273) K;

T = (37 + 273) K;

T = 310 K.

Substitute the values ​​of physical quantities in the calculation formula and find the value of the internal energy of helium:

U = 1.5 ∙ 4 mol ∙ 8.31 J / (mol ∙ K) ∙ 310 K;

U = 15456.5 J ≈ 15.5 kJ.

Answer: ≈ 15.5 kJ is the internal energy of helium.