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Problem 70 Hard Difficulty

Potassium nitrate decomposes on heating, producing potassium oxide and gaseous nitrogen and oxygen:
$$
4 \mathrm{KNO}_{3}(s) \longrightarrow 2 \mathrm{K}_{2} \mathrm{O}(s)+2 \mathrm{N}_{2}(g)+5 \mathrm{O}_{2}(g)
$$
To produce 56.6 $\mathrm{kg}$ of oxygen, how many (a) moles of $\mathrm{KNO}_{3}$
and (b) grams of $\mathrm{KNO}_{3}$ must be heated?

Answer

a)
$\mathrm{n}\left(\mathrm{KNO}_{3}\right)=1415 \mathrm{mol}$
b)
$\mathrm{m}=\mathrm{n}^{*} \mathrm{Mr}=142929,15 \mathrm{g}=1,43^{*} 10^{5} \mathrm{g}$

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Video Transcript

where Kiffin, the decomposition Rational Porta. Same night tree. So you will give Ah, Katie open. That's a mock sigh. Nitrogen. And then also Jim. So assume we have this. This 0.6 kilogram are also your people use what would be the number Move up or there's a nightmare we need. And also the massive poker potassium nitrate. Okay, so first of all, we're going to convert our mass to, um, number Mose. So the limbo most off surgeon will be close to Freddie 6.6 time, 1000 years a kilogram. So, uh, we should have Ah, five, six, six Cyril, Cyril Graham. And then we have more than mass for oxygen. Will be two times 16 with 32 her. Uh, so we're 56600 divide by four. It's you. And then we should be able to find that is roughly around. Ah, 16 sort. 176 eight 0.75 mil for you. Okay, So the lymphoma off put potassium naturally, we need Ah, it would be way We will be. We have to find out from the well the way show. And you can see that the motorway showoff. Potassium? Um, yeah. Tree to oxygen is 4 to 5. You can also signify that this Ah, um on the way show and you should be able to finance 1 to 2. Important to 1.25 All right, so when the limbo most off hostage in ihsaa 1.21 point 25 then the limbo Most off Kay. I know three p one. So therefore Ah, where we have that many number. Most off our station. We're going to divide the whole number by, um 1.25 And then we would have won four 15 most off Kano 314 for five more care and awfully. So we would have Ah 176 nick, 1760.75 Do you want by 1.25? There were 1415 Most Okay, I'll three. Okay, so the mass Okay, off the real be half one of five. 1415 mold replied by our, um, molecule a mess. Uh oh. Starter motor mass. So the mother Massa would be one. The 1.1 Quinn for more and a mass off our, um both assumed, um, natural spring s pretty big, everyone. 40th Lee, um, poin of one. Kaito. Grab one for the sea from one kill Quick.

University of Toronto
Top Chemistry 101 Educators
Stephanie C.

University of Central Florida

Lizabeth T.

Numerade Educator

Nadia L.

Rice University

Stephen P.

Drexel University