Derive the relationship between density of substance, its molar mass and the unit cell edge length. explain how you will calculate the number of particles, and number of unit cells in x g of metal.
Question: Derive the relationship between density of substance, its molar mass and the unit cell edge length. explain how you will calculate the number of particles, and number of unit cells in x g of metal.
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The density of a substance is defined as the mass per unit volume. The molar mass of a substance is the mass of one mole of its particles. The unit cell edge length is the distance between two adjacent lattice points in a crystal structure. To derive the relationship between these three quantities, we can use the following formula:
density = (molar mass * number of particles per unit cell) / (Avogadro's number * unit cell edge length^3)
where Avogadro's number is 6.022 x 10^23 mol^-1.
To calculate the number of particles and the number of unit cells in x g of metal, we can use the following steps:
1. Find the molar mass of the metal from the periodic table.
2. Divide x by the molar mass to get the number of moles of metal.
3. Multiply the number of moles by Avogadro's number to get the number of particles of metal.
4. Divide the number of particles by the number of particles per unit cell to get the number of unit cells of metal.
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