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Numerade Educator



Problem 78 Hard Difficulty

Many metals react with oxygen gas to form the metal oxide. For example, calcium reacts as follows:
2 \mathrm{Ca}(s)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{CaO}(s)
You wish to calculate the mass (g) of calcium oxide that can be prepared from 4.20 $\mathrm{g}$ of $\mathrm{Ca}$ and 2.80 $\mathrm{g}$ of $\mathrm{O}_{2} .$
(a) What amount (mol) of $\mathrm{CaO}$ can be produced from the given mass of Ca?
(b) What amount (mol) of CaO can be produced from the given mass of $\mathrm{O}_{2} ?$
(c) Which is the limiting reactant?
(d) How many grams of CaO can be produced?


a) $\mathrm{n}(\mathrm{CaO})=\mathrm{n}(\mathrm{Ca})=0,105 \mathrm{mol}$
b) $\mathrm{n}(\mathrm{CaO})=2 \mathrm{n}\left(\mathrm{O}_{2}\right)=0,175 \mathrm{mol}$
c) Ca
d) $\mathrm{m}(\mathrm{CaO})=5,88 \mathrm{g}$


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Video Transcript

So we have given the reaction between Councilman all surgeon and we have ah Thio. Two different of initial value for calcium and oxygen. React to different mass. So assume for party that what would be them? Limbo Move aka calcium oxide being produced from sodium sort of sodium calcium have seen the Alsatian is in excess. Okay, so first before we have to convert that number more off. We have to find a number for counseling from a mass. So the more the masses 44 no wait for calcium, and then we have 4.2 for the mess. So the lumber most would be 0.105 moose for calcium. Okay, so Ah, we want to file, uh, limbo Moon walk. Have some oxide. We're looking at the more ratio. So it's 2 to 2 essentials 1 to 1. So also, same number mo for calcium. Okay, so the party is that Okay? What would be the number of mo off castle marks? I, Proteus, if we only look at the oxygen, assume we have a law of calcium excess calcium. So the oxygen, it's a two point Graham. So 2.80 Graham and the lumber More oxygen. It will be 2.80 Um, do you want by for two. So it would be syrup on. Syria is 75 Mole serious are still for zero. 0.0. A set of five books. Okay, so, uh, how about the corresponding sodium? I also think calcium oxide. Okay, we're going to look at them away. Well, wisher again. We can't see that one. Also, Jin, his corresponding thio calcium oxide or the wisher is 1 to 2. So we're going to multiply soup for 0875 and then we have several. 175 miles. Okay, So which one would be the limiting the agent so far? Ah, oxygen. Assume we have a lot off calcium. We can put their simple ones of five mole and then for calcium us. And we've lost legion. We can re only temple your syrup on one old five most so you can see that, um, for oxygen, you can support ahh formation on casting. Also up to see upon Western five more and for both for calcium is only up to see a palm oil five more So it's less than their oxygen. So therefore Ah, counseling will be the limited way agent we only can support up to. So, Paulo, when all five Seo Yeon rodeos. Okay, proceed. And what will be the mass off our calcium oxide? So Ah, we know that the calcium, the actual poor that the actual Mboma products de pounds limiting the Asian. So it would be one old five mobile video, some calcium Burghausen estimating we Asian. So their mass. We have syrup on with all five applied by the molar mass off Kelsey Marks at 40. 40. Weight plus 16 to be the molar mass. Times soup +1105 and it will be around 5.8 crap.