Calculate the number of grams of lithium that contain the same number of atoms as 1.00 kg of zir

step 1 Okay, so here we have a thousand grams of zirconium. And we are trying to find how much would th

Calculate the number of grams of lithium that contain the...

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Key Concepts

Molar Mass

Molar mass is defined as the mass of one mole of a given substance, typically expressed in grams per mole. It provides the conversion factor needed to translate between the mass of a material and the amount in moles, thereby facilitating quantitative chemical calculations.

Avogadro's Number

Avogadro's Number is the constant that defines the number of atoms, molecules, or other elementary entities in one mole of a substance. This concept is crucial for converting between the number of particles and the amount in moles, ensuring that calculations involving the number of atoms in different substances are consistent.

Mole Concept

The mole is a basic unit in chemistry that represents a specific number of particles, usually atoms, molecules, or ions. It serves as a bridge between the atomic scale and the macroscopic quantities that can be measured, allowing chemists to relate the mass of a substance to the number of particles it contains.

Transcript

00:02 Okay, so here we have a thousand grams of zirconium.

00:07 And we are trying to find how much would this weigh if we replace their zirconium atoms with lithium? so same number of atoms in like both cases, but how much would it weigh if we just swapped out the zirconium atoms for lithium atoms? okay, so the given here is same number of atoms.

00:32 Okay.

00:36 So what is our equation for a number of atoms? so it's moles multiplied by avagagos constant, n -a.

00:57 So we're working with mass here.

00:59 We're looking for a mass and we're given a mass.

01:01 So let's see what do we know about moles? we know that moles is equivalent to mass over molar mass.

01:10 And we'll just keep avagatra's constant right there where it was.

01:16 All we did was substitute out moles for math over mole on us because, you know, it's equivalent.

01:23 All right.

01:24 So here we have our equation that will help us.

01:29 So we know that the number of atoms of zirconium equal that of lithium.

01:37 So we're looking for mass of lithium.

01:41 So let's do ml for massive lithium, and ml again, capital ml for molar mass of lithium.

01:54 And this constant is equivalent to the mass of zirconium over the molar mass of zirconium times avogadro's constant...

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