What is the mass in grams of each of the following? a. 3.011 ×10^23 atoms F b. 1.50 ×10^23 atoms

step 1 In this video, we will study about conversion of atoms to grams. And we will solve a problem set

What is the mass in grams of each of the following? a. 3.011...

Key Concepts

Avogadro's Number

Avogadro's number (approximately 6.022 x 10^23) defines the number of constituent particles (atoms, molecules, ions, etc.) in one mole of a substance. It serves as the fundamental link between the atomic scale and macroscopic quantities used in laboratory measurements.

Mole Concept

The mole is a unit representing a specific number (Avogadro's number) of particles. It provides chemists with a convenient way to convert between the number of atoms or molecules in a sample and the corresponding macroscopic mass, enabling quantitative reactions and stoichiometric calculations.

Molar Mass

Molar mass, expressed in grams per mole, is the mass of one mole of a substance. For elements, it is numerically equal to the atomic weight listed on the periodic table, and it is used to convert between the number of moles and the mass of the element in chemical calculations.

Conversion between Atoms, Moles, and Mass

This process involves two main steps: first, converting the given number of atoms to moles using Avogadro's number, and second, converting moles to grams using the molar mass. This conversion is essential for determining the mass of a substance when you know the number of its atoms or molecules.

Transcript

00:01 In this video, we will study about conversion of atoms to grams.

00:16 And we will solve a problem sets to understand this concept.

00:21 Now, to go from atoms to grams, it is always a two -step process.

00:27 So first, we convert atoms into moles and then moles into grams.

00:41 Right so this is how it's going to work so let's work on our first problem set so in first problem set we are given 3 .011 into 10 to power 23 atoms right so we are provided with this now we always always have to keep in mind let's write it down here that 1 mole is equal to 6 .022 into 10 to power 23 atoms.

01:46 So this is one of the most important thing to remember that one mole is equal to avogatros number that is 6 .022 into 10 to power 23 atoms.

02:00 This is 10.

02:04 Okay so now let's solve the first problem set so now we are provided with this number of atoms and we want to convert these atoms into moles first so let's write it down so we know 6 .022 into 10 to power 23 atoms is equal to one mole right so now 3 .3 atoms so now 3 0 .11 into 10 to power 23 atoms will be equal to in term of moles.

02:55 So if you want to it will be one more right divided by 6 .022 into 10 to power 23 right and here will be let's use this.

03:27 Be into 3 .011 into 10 to power 23, right? since both these, so this is also number of atoms, this is also number of atoms, so it will cancel out.

03:52 So i can just write down here because of space.

03:57 So let's write it down.

03:58 This is atoms right and here also it is atoms okay so now this many atoms make one mole and if we have this number of atoms how many how many moles we will get so we will divide one mole by apogatros number into number of atoms we have and let's write down our answer so our answer for this will be 0 .5 moles.

05:15 So this is number of moles.

05:17 So we have converted atoms into moles.

05:20 And now we want to convert moles into grams.

05:26 So this is our one step process.

05:29 Now for second step.

05:31 So now for moles, we know number of moles is equal to amount in grams over molar mass right so this is the formula but we want is this we want to convert it into grams so we can rearrange this formula and we will write it down so we will get amount in grams will be equal to number of moles right into molar mass right and now the units we are talking about so we know for number of moles the unit will be mole and for molar mass it is gram per mole right so we can cancel this both and our answer will be in grams.

07:07 So this will be grams, right? so this is our second step.

07:16 So now let's solve our problem.

07:19 So now these atoms, 3 .011 atoms, they are of fluorine.

07:27 So let me write down here of fluorine.

07:36 So now to convert the number of moles into grams, we need to know the molar mass of fluorine.

07:46 So i'll provide you with that.

07:54 That's equal to 0 .5 moles into 18 .98 gram per mole.

08:22 That is the molar mass of fluorine and our answer is 9 .499 grams which is approximately equal to 9 .50 grams.

08:44 Okay.

08:46 So we first convert number of atoms into moles and then we convert moles into grams.

08:53 So let's do second problem set.

08:56 In second problem set we are provided with 1 .50 into 10 to power 23 atoms of of magnesium right so now we have to convert this number of atoms into mole so we will use the same formula let's solve this so so this will be equal to 1 more upon 6 .022 into 10 to power 23 right into 1 .50 into 10 to power 23 right? and here also we have atoms right and our answer will be 0 .25 moles right and now we will multiply 0 .25 moles into molar mass of magnesium that is 24 .305 gram per mole.

10:57 Right and our answer is 6 .07 gram.

11:11 Simple atoms into moles, moles into grams.

11:17 Let's solve the third problem set.

11:27 Now in third problem set we are provided with number of atoms of glory.

11:36 So we are provided with 4 .50.

11:44 Into 10 to power let me just check this one so this is 10 to power 12 okay let me correct this one okay here we are so this is 4 .50 into 10 to power 12 atoms of chlorine.

12:52 Cl is a symbol for chlorine.

12:56 Now let's solve this problem set.

12:59 So again, we have to convert atoms into moles.

13:04 So this will be equal to one mole divided by 6 .022 into 10 to power 23 atoms.

13:18 Right and then here into 4 .50 into 10 to power 12 atoms right and our answer for this one is 0 .75 into 10 to power...

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