Story of a curious mole Overview In this lesson, you will learn about • Empirical and Molecular Formula and Little Mole Professor Mole How do I know that water is H2O and not…er..H2O2 for example. Because scientists do experiments in the lab in Phew..I am getting the order to determine thirsty. I need H2O. empirical formula and then derive the molecular formula. See.. There are different kinds of chemical formulae… Structural Formula •shows how the atoms are joined in the molecule. In Ethane, each Carbon atom is linked to 3 Hydrogen atoms and a Carbon atom. Molecular Formula •shows the actual number and kinds of atoms present. In Ethane, there are 2 Carbon atoms and 6 Hydrogen atoms. Hence, the molecular formula of Ethane is C2H6. Empirical Formula • shows the simplest whole number ratio of the atoms present. The empirical formula of Ethane is CH3. Empirical Formula • The empirical formula of a compound shows the simplest whole number ratio of the atoms present. • It is the first step to writing the molecular formula and is used to find the mass of a given compound in the sample. • The empirical formula is determined by experimental results. Little Mole has just learnt that magnesium oxide, an ionic compound, is used as refractory material. It’s not easy dude. You’ve gotta do an experiment in the lab first. Come let me show you how. Prof! Prof! Prof! Teach me how to find the empirical Awesome! You are way formula of magnesium too cool! oxide! I wanna go school and show off to my friends. Experiment: Determining formula of Magnesium oxide • To find the formula of magnesium oxide, there are two information we need. – Mass of magnesium in magnesium oxide – Mass of oxygen in magnesium oxide Procedure: • Burn 1.20g of Mg coil in a clean, dry crucible until the ribbon become a whitish ash. This is Wicked!=D Hehe.. Experimental Results • The following masses were recorded. – Mass of crucible + lid = 26.52g – Mass of crucible + lid + magnesium = 27.72g – Mass of crucible + lid + magnesium oxide = 28.52g Experimental Results • The following masses were recorded. – Mass of crucible + lid = 26.52g – Mass of crucible + lid + magnesium = 27.72g – Mass of crucible + lid + magnesium oxide = 28.52g I know! I know! So that I know the mass of Magnesium that I used. So 27.72 – 26.52 ….means I used 1.20g of Magnesium. Think about it, Little Mole. Why did I have to calculate the first two masses? Experimental Results • The following masses were recorded. – Mass of crucible + lid = 26.52g – Mass of crucible + lid + magnesium = 27.72g – Mass of crucible + lid + magnesium oxide = 28.52g Hmm.. You got me there. I dunno. Good! Now, how do I calculate the mass of oxygen used? Experimental Results • The following masses were recorded. – Mass of crucible + lid = 26.52g – Mass of crucible + lid + magnesium = 27.72g – Mass of crucible + lid + magnesium oxide = 28.52g Ah…I see… The mass of oxygen is the difference of the last two masses! So the amount of oxygen reacted is 28.52 – 27.72g which is 0.80g. That is…………… – Mass of crucible + lid = 26.52g – Mass of crucible + lid + magnesium = 27.72g Mass of Magnesium = 27.72 – 26.52 = 1.20g Cool! Now how+ do – Mass of crucible + lid magnesium oxide = 28.52g I find the empirical formula? Mass of Oxygen reacted = 28.52 – 27.72 = 0.80g Calculating Empirical Formula Step 1: Write down the mass of each element. Step 2: Write down the molar mass of each element. Step 3: Calculate the number of mole. (Recall: no. of mol. = mass / molar mass) Step 4: Divide by the smallest number to obtain a whole number ratio. Mass (g) Molar mass (g/mol) No. of mol Ratio Mg O 1.20 0.80 24 16 1.20/24 = 0.05 0.80/16 = 0.05 0.05/0.05 =1 0.05/0.05 =1 Since the ratio of Mg: O is 1:1, the empirical formula is MgO. 0.05 mole of Magnesium combines with 0.05 mole of Oxygen, right? That means 1 atom of Magnesium combines with 1 atom of Oxygen. Therefore, the empirical formula is MgO. IThis don’t get How I’m is all soit. cheem. comeI have you could go glad you around to teach me=Dof moles from number to ratio directly? Another example Find the empirical formula of a compound consisting 2.8 g of iron combined with 1.2 g of oxygen. Step 1: Write down the mass of each element. Step 2: Write down the molar mass of each element. Step 3: Calculate the number of moles. ( Recall: no. of mol. = mass / molar mass) Step 4: Divide by the smallest number to obtain a whole number ratio. Mass (g) Molar mass (g/mol) No. of mol Ratio Fe O 2.80 1.20 56 16 2.80/56 = 0.05 1.20/16 = 0.075 0.05/0.05 =1 0.075/0.05 = 1.5 Since the ratio of Fe: O is 2:3, the empirical formula is Fe2O3. That’s Mole, right! You alsoyou have to Little have include workings forabout the final noticed anything step for number of moles of the way we present each element and theirour answers? simplest ratio. Hmm..You always present it in a table…..and include units of g for mass and g/mol for molar mass. Find the empirical formula of a compound consisting of 2.8 g of When your number’s close to iron combined with 1.2 g of oxygen. See. What happens a whole number. If you when have You multiply when you Ihave multiply 2 toof that ratio 1.9 forratios example, then will 1.5you and round up it to becomes 2. Likewise,2:3 if of 1:1.5? 1.25 in 1.001, order toyou getround a you get then right? down tonumber. 1. It all comes with whole practice, my child. Wait! I am When Ahh..I do see..All I round this upisIthe or Err...ok..So how do confused..You said down starting then? toFe:O make know when to multiply? ratio of issense. 1:1.5 right? How come it became Fe2O3? An oxide of sulfur contains 40% sulfur and 60% oxygen. Find its empirical formula. 60g! You rock How am I *Gulps* Huh??! ProfessortoMole! What supposed start doing Err...40g? would I do without this question? you? And when you have Simple. Assume that you 60% oxygen, how much have 100g of the sample. oxygen do you have in So if you have 40% 100g ofhow themuch sample? sulfur, sulfur do you have in 100g? An oxide of sulfur contains 40% sulfur and 60% oxygen by mass. its empirical formula. This is how you present… Find Assuming 100g of the compound, 40% x 100g = 40g Sulfur 60% x 100g = 60g oxygen the compound will contain 40g Sulfur and 60g oxygen. S O Mass (g) 40 60 Molar mass (g/mol) 32 16 40/32 = 1.25 60/16 = 3.75 1.25/1.25 =1 3.75/1.25 =3 No. of mol Ratio Since the ratio of S : O is 1:3, the empirical formula is SO3. Let’s look next at: Molecular Formula Molecular Formula of Ethane is C2H6 Ball- and- stick model H H H C C H Structural Formula H H • The ratio of the numbers of carbon and hydrogen atoms is 1 : 3. • The empirical formula of ethane is CH3. • From the ball-and-stick model, we can tell that the molecular formula is a multiple of the empirical formula. •The molecular formula of a compound shows the actual number and kinds of atoms present. Molecular Formula Derived from Empirical Formula • If Empirical formula = AxBy , molecular formula = (AxBy)n where n = 1,2,3 etc Example… The empirical formula of ethane is CH3. Given that the relative molecular mass of ethane is 30, what is the molecular formula? Let the molecular formula of ethane be CnH3n Mr of ethane = (n x 12) + (3n x 1) = 15n I.e. 15 n n = 30 = 30 ÷ 15 =2 Hence, the molecular formula of ethane is C12H32= C2H6 Another Example… The empirical formula of a compound is H2CO2. Given its relative molecular mass is 46, find the molecular formula. Let the molecular formula of the compound be H2nCnO2n. Mr of compound = (2n x 1) + (n x 12) + (2n x 16) = 46n i.e. 46 n = 46 n = 46 ÷ 46 =1 Hence, the molecular formula of the compound is H21C11O21= H2CO2 Think Time! Is this true? “The empirical formula is always simpler than the molecular formula of a compound”. NO! In compounds such as MgO and NaCl, the empirical formula is the same as the molecular formula. Empirical formula of an ionic compound is also its molecular formula. Think Time! Is this true? “The empirical formula for different compounds are different.” NO! The empirical formula of ethane (C2H4) and propane (C3H6) are the same. But what’s the point of Then the knowing theempirical empirical formula is worked out? formula? To the formula of It is find useful Organic That’s right!inMy mere the new substance, a a Chemistry. Everyday, presence must be making sample is analyzed to new compound is you you smarter. Then obtaindiscovered the mass or or either work out the Mr and percentage composition made in the lab. then the molecular of each element in the formula. compound Certificate of Completion This is to certify that Little Mole has successfully completed the e-learning module on empirical & molecular formula. Presented by Professor Mole Professor Mole Prof, it looks like I’m done with learning empirical formula. Yup. You’ve successfully graduated. Don’t forget to practise though. Do the questions in Worksheet 2 and the handout.