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^-34J ∙ s, = 1.055 × 10^-34 J ∙ s, ^mel = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19J)

Question

Quizplus · Accepted Answer

The number of states in a material can be calculated using the formula:

N = 2 * (2πm/h²)^(3/2) * V * ∆E

where N is the number of states, m is the mass of the particle, h is the Planck's constant, V is the volume of the material, and ∆E is the energy range.

Substituting the given values, we get:

N = 2 * (2π*9.11*10^-31 / (6.626*10^-34)²)^(3/2) * 5.3 * 10^-6 * (5.2 - 5.0) * 1.60*10^-19

N = 1.6 × 10^22 states

Therefore, the best choice is C) 1.6 × 10^22 states.

Approximately How Many States in the Range from 5