What is the internal energy of 1.75 kg of helium (atomic mass = 4.00260 u)with a temperature of 100 °C?

Question

Quizplus · Accepted Answer

We can use the formula for the internal energy of an ideal gas:
U = (3/2) n R T
where n is the number of moles, R is the gas constant, and T is the temperature in Kelvin. First, we need to find the number of moles of helium:
n = m/M
where m is the mass and M is the molar mass of helium.
M = 4.00260 g/mol = 0.00400260 kg/mol
n = 1.75 kg / 0.00400260 kg/mol
n = 436.49 mol
Now we can calculate the internal energy:
U = (3/2) n R T
U = (3/2) (436.49) (8.314 J/mol-K) (373.15 K)
U = 2.03 × 10⁶ J

What Is the Internal Energy of 1