Calculate the number of particles present per unit cell if mass of a particle is 8.0 10⁻²³ ~g [ a^3=3.2 10⁻²² ~g ]

Step-by-step solution

The number of particles per unit cell is determined from the density formula = Z m a^3 , where Z represents the particle count, m the mass per particle, and a^3 the unit cell volume. Given the product a^3 = 3.2 10⁻²² g and particle mass m = 8.0 10⁻²³ g , rearrange to solve for Z : Z = a^3 m = 3.2 10⁻²² 8.0 10⁻²³ = 4 The unit cell contains 4 particles.