Given the density, you can find the volume per mole of metal by taking dividing the molarity by the density. Using this, you can find the volume of a mole of atoms (this is a different value) by multiplying to the volume per mole of the metal by the packing efficiency. Next, divide the volume of a mole of atoms by the Avagadro's number. Then, using the volume of a sphere, you can find the radius.
Here's a better explanation using formulas:
Volume per mole of metal = Molarity/Density
Volume per mole of atoms = (Volume per mole of metal) x (Packing Efficiency)
Volume of 1 atom = Volume per mole of atoms/6.022 x 1023
Volume of 1 atom = (4/3) x pi x radius3
I have just been asked this question on an assignment and found your question is the process of discovering the answer. I found out how to do it and this formula can be used:
density= [(#of atoms per cell) / (volume)] x [(molar mass)/(Avogadro's #)]
only use the Avogadro # if you need the weight in g/mol
The most readily accessible method to determine the atomic weight of an atom is to look it up on the Periodic Table of the elements.
Every element symbol on the Periodic Table has two numbers next to it, both small, one above the other. The smaller number is the Atomic Number, the bigger one, the Atomic Mass, sometimes called the Atomic Weight.
The atomic weight of an element is the weighted average of all the isotopes of a given element. Individual atoms do not have atomic weights. On the other hand, the atomic mass is the number of protons and neutrons in a given atom.
You add the number of protons and neutrons in an atom, and the total is the atomic mass.
Atomic weight is the sum of the number of protons and the number of neutrons in a nucleus.
You find the atomic weight of an atom by,
Getting the mass number of an atom, equal to the total number of protons and neutrons combined.
The atomic weight (mass) of an atom is the number of protons plus the number of neutrons.
You work it out by using a calculator.
density = 7 897 kg/m^3 = 7.897 g/cm^3
Atomic weight of all elements are relative to oxygen atom being taken as 16. The atomic weight of sodium is 6.940. Sodium metal has a density of 0.59. Density is mass per unit volume. Therefore the atomic volume of sodium is 11.763. Assuming atoms and molecules are spheres, the radius is the cube root of 11.763 divided by (pi x 4/3). But, this is relative oxygen, the radius of which in angstrom units has been determined The only purpose of knowing the radius of an atom is to calculate its atomic or molecular volume, which, in the case of gases is very nearly the same by calculation but maybe universally equal in fact. The original determination of the atomic weights of the inert gases was the mass of 22.4 litres of each of them. I, personally, determined the atomic weight of iron accurately to 5 decimal places in the chemistry laboratory of my local university, by chemical means. I could have calculated the atomic volume had that have been required.
the given molecular weight is divided by volume
it's density/phase is a gas. and it's atomic weight is 18.998403 and density is 0.001696
Francium has the biggest atomic weight and the biggest atomic radius between the alkali metals.
density = 7 897 kg/m^3 = 7.897 g/cm^3
Firstly, calculate the molecular volume by dividing the product of molecular density and the molecular weight by the Avogadro number. Then take a third root of the volume, the found value is the atomic radius. Then multiply it by 2 to find the diameter.
This is hard to calculate precisely, due to the fact that Earth's density increases towards the center. However, you make a simplified calculation, by assuming a uniform density. Just calculate the ratio of the volume (and therefore, of mass) of a sphere which has half the radius of the Earth, and calculate the gravitational attraction (once again, you only need a ratio, compared to the complete Earth) on that object.
Bulk density = dry weight / volume, then by knowing the dry weight and bulk density we can calculate the volume.
Atomic weight of all elements are relative to oxygen atom being taken as 16. The atomic weight of sodium is 6.940. Sodium metal has a density of 0.59. Density is mass per unit volume. Therefore the atomic volume of sodium is 11.763. Assuming atoms and molecules are spheres, the radius is the cube root of 11.763 divided by (pi x 4/3). But, this is relative oxygen, the radius of which in angstrom units has been determined The only purpose of knowing the radius of an atom is to calculate its atomic or molecular volume, which, in the case of gases is very nearly the same by calculation but maybe universally equal in fact. The original determination of the atomic weights of the inert gases was the mass of 22.4 litres of each of them. I, personally, determined the atomic weight of iron accurately to 5 decimal places in the chemistry laboratory of my local university, by chemical means. I could have calculated the atomic volume had that have been required.
You're essentially trying to calculate the diameter of a cylinder with a hole in the middle. There are two formulas for volume which you need. Volume= Pi * r2 * h (where Pi=3.142, r = radius of the coil, h = width of the coil) Volume= Weight/Density Since both these formula equal Volume: Weight/Density= Pi * r2 * h Since the weight you have is for a cylinder with a hole in it, you need to calculate the volume of the whole cylinder (without the hole) and subtract the volume of the hole. So for a steel coil Weight/Density = (Pi * rc2 * h)-(Pi * rh2 * h) where rc= the radius of the coil and rh = the radius of the hole (Radius=diameter/2) you're trying to calculate the radius of the coil, so rearrange the formula to get: ((Weight/Density)/Pi*h) + rh2 = rc2 The diameter of the coil = 2 *rc NOTE:- It's important to keep your units of measure consistent throughout the calculation. Density is generally represented by kilograms per cubic metre (kg/m3) - for us metric users ;-) Therefore keep your coil weight in kgs and your radius / width measures in metres.
What is density?? Density = Weight / Volume. So if the density and weight are given, you can easily find the volume of diesel.
The atomic weight of an element is derived from the atomic masses of the isotopes of this element and from the percentage of these isotopes. The correct terms are: - atomic weight for elements - atomic mass for an isotope
Divide the weight by the volume.
the given molecular weight is divided by volume
it's density/phase is a gas. and it's atomic weight is 18.998403 and density is 0.001696
Mineral density should know. Weight / density = volume