Final answer:
The density of states for a massless fermi gas can be calculated using the formula: g(E) dE = 2 * √(E / π) * dE.
Step-by-step explanation:
The density of states for a massless fermi gas can be calculated using the formula: g(E) dE = 2 * √(E / π) * dE, where g(E) is the density of states, E is the energy, and dE is the size of the energy interval.
To calculate the density of states at a specific energy (E), you can substitute the value of E into the formula. For example, at E = 0.80 eV, g(E) = 2 * √(0.80 / π). Repeat this process for the other energy values to obtain the density of states at E = 2.2 eV and E = 5.0 eV.