Question

how to find the amount of free electrons per cubic meter of a material

how to find the amount of free electrons per cubic meter of a material

Homework Answers

Answer #1

If the material in question is metal, then each atom contributes one electron in the metal.

So, then the number of free electrons per cubic meter is the number of atoms in 1 cubic meter

The number of atoms in 1 mole of the metal is the Avogadro number. You can find out the weight of 1 mole of atoms using the molar mass of the metal and then the number of atoms in 1 cubic meter using the density of the metal. So putting it all together, the number of free electrons per cubic meter in a metal is

where is the Avogadro number

is the density in kg/cubic meter units

and m is the molar mass in kg per mole unit.

As an example, for copper

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A certain metal has n = 1.70 × 1028 conduction electrons per cubic meter. A certain...
A certain metal has n = 1.70 × 1028 conduction electrons per cubic meter. A certain sample of that metal has a volume of V = 6.02 × 10-6 m3 and a temperature of T = 202 K. How many occupied states are in the energy range of ?E = 3.20 × 10-20 J that is centered on the energy E = 4.00 × 10-19 J? (Caution: Avoid round-off in the exponential.)
2 Drift Velocity The average velocity of electrons in a material with a scattering time τ...
2 Drift Velocity The average velocity of electrons in a material with a scattering time τ is vd = eE me τ. The scattering time also determines the resistivity of the material: ρ = me ne2τ . Here, n is the free electron density of the material — the number of free electrons per cubic meter. (a) Estimate the free electron density in copper. There is one free electron per copper atom. The mass density of copper is 8.92 g/cm3...
A rectangular box must have a volume of 2 cubic meters. The material for the base...
A rectangular box must have a volume of 2 cubic meters. The material for the base and top costs $ 2 per square meter. The material for the vertical sides costs $ 8 per square meter. (a) Express the total cost of the box in terms of the length (l) and width (w) of the base. C = $ (b) Find the dimensions of the box that costs least. length = meters width = meters height = meters
Calculate the temperature where the number of vacancies per cubic meter in iron will be 9.40...
Calculate the temperature where the number of vacancies per cubic meter in iron will be 9.40 x 1017 atoms/cm3. The energy for vacancy formation is 1.08 eV/atom.
A rectangular storage container with an open top is to have a volume of 28 cubic...
A rectangular storage container with an open top is to have a volume of 28 cubic meters. The length of its base is twice the width. Material for the base costs 14 dollars per square meter. Material for the sides costs 6 dollars per square meter. Find the cost of materials for the cheapest such container.
2. The densities of selected gases in kilograms per cubic meter are Air 1.22 Neon 0.95...
2. The densities of selected gases in kilograms per cubic meter are Air 1.22 Neon 0.95 Carbon Dioxide 2.03 Nitrogen 1.30 Carbon monoxide 1.30 Nitrous Oxide 2.05 Helium 0.23 Oxygen 1.48 Hydrogen 0.14 Propane 2.07 Methane 0.77 Sulfur Dioxide 2.98 a.) Find the Mean b.) Find the Median c.) Find the Mode d.) Find the Midrange e.) Find the Standard Deviation
a rectangle storage container with an open top is to have a volume of 16 cubic...
a rectangle storage container with an open top is to have a volume of 16 cubic meters. The length of its base is twice the width. material for the bar costs 11 dollars per square meter. Material for the sides costs 5 dollars per square meter. find the cost of materials for the cheapest such container. total cost =? Round to the nearest nearest penny
Listed below are measured amounts of lead​ (in micrograms per cubic​ meter, or μg/m3​)in the air....
Listed below are measured amounts of lead​ (in micrograms per cubic​ meter, or μg/m3​)in the air. The EPA has established an air quality standard for lead of 1.5 μg/m3.he measurements shown below were recorded at a building on different days. Use the given values to construct a 95​% confidence interval estimate of the mean amount of lead in the air. Is there anything about this data set suggesting that the confidence interval might not be very​ good? 5.40, 1.10, 0.39,...
An aquarium that holds 40 cubic meters of water is to be made such that the...
An aquarium that holds 40 cubic meters of water is to be made such that the length of its base is twice the width. If the material for the base costs $20 per square meter, and the material for the sides cost $16 per square meter, find the cost of the materials for the cheapest possible aquarium. What are the dimensions of this aquarium? Be sure to define your variables, list the main equation and all supporting equations used, the...
a rectangular storage container with an open top is to have a volume of 10 cubic...
a rectangular storage container with an open top is to have a volume of 10 cubic meters. lenght of base is twice its width material for the base costs "13" dollars per square meter. material for side costs 8 dollars. find cost of materials for cheapest container
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT