Approximately how many states in the range from 5.0 eV to 5.2 eV are there in a copper bar of volume 5.3 cm³? (h = 6.626 × 10^-34 J • s,h = 1.055 × 10^-34 J • s, , A) 5.1 × 10²² B) 3.2 × 10²² C) 1.6 × 10²² D) 8.2 × 10²¹ E) 3.2 × 10²¹

Question

Quizplus · Accepted Answer

The number of states between two energy levels can be calculated using the formula: N = (2/3) * [π * (2m/h²)^3/2] * V * √(E2-E1) where m is the mass of the particle, h is Planck's constant, V is the volume of the material, and E1 and E2 are the initial and final energy levels. Substituting the given values, N = (2/3) * [π * (2*mass of electron/h)^3/2] * 5.3 cm^3 * √(5.2 eV - 5.0 eV) Using the value of h in joules, N = (2/3) * [π * (2*9.10938356E-31/6.62607015E-34)^3/2] * 5.3E-6 m^3 * √((5.2-5.0)*1.60218E-19 J) N = 1.6 × 10^22 Therefore, the closest option is C) 1.6 × 10²².

Approximately How Many States in the Range from 5