A tank of volume 0.467 m^3 contains 3.93 mol of helium gas at 28 ◦C.The universal gas constant is 8.31451 J/Kmol, and Boltzmann’s constant is 1.38066 ×10^−23 J/K.

Question

Find the total thermal energy of the system. Answer in units of J.

Answer 1

The equation we will need is

E = 3/2nRT

where n is the moles, R is the universal gas constant, and T is the temperature in Kelvin. (To change a temperature from Celsius, just add 273). Substituting these values into the equation becomes:

E = 3/2(3.77 moles)(8.31451 J/K mol) (322 K)

E = 15140 J