If ρ_m is the mass density of a conducting material, V its volume, M its molar mass, and N_A Avogadro's number, the number density n of conduction electrons in the material is given by:

Question

Quizplus · Accepted Answer

The number density of conduction electrons is given by:

n = NS1U1B1A / M

where NS1U1B1A is Avogadro's number and M is the molar mass of the conducting material.

Using the given expression for mass density:

ρS1U1B1mS1U1B0 = M / V

we can rearrange to get:

V = M / ρS1U1B1mS1U1B0

Substituting this into the expression for n:

n = NS1U1B1A / (M / V)

n = NS1U1B1A * ρS1U1B1mS1U1B0 / M

Substituting the given values:

n = (6.022 × 1023 mol-1) * (2.70 g cm-3) / (63.55 g mol-1)

n ≈ 1.06 × 1029 m-3

Therefore, the best choice is C.

If ρm Is the Mass Density of a Conducting Material

If ρ_m Is the Mass Density of a Conducting Material