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Numerade Educator



Problem 49 Easy Difficulty

Cortisol $(M=362.47 \mathrm{g} / \mathrm{mol})$ is a steroid hormone involved in protein synthesis. Medically, it has a major use in reducing inflammation from rheumatoid arthritis. Cortisol is $69.6 \% \mathrm{C},$ $8.34 \% \mathrm{H},$ and 22.1$\% \mathrm{O}$ by mass. What is its molecular formula?


empirical formula: $\mathrm{C}_{21} \mathrm{H}_{30} \mathrm{O}_{5}$
molecular formula: $\mathrm{C}_{21} \mathrm{H}_{30} \mathrm{O}_{5}$


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Video Transcript

we have to find a marker, father or color. So Ah, yes, we have the mullahs Mass 3 62.47 And also the master attempt percent a showoff in the region element. Okay, so we have ch Oh, but we don't know their corresponding number, so we're going to find out. So for this case, we can use our body mass, which we will be free of 62 points. 47 people. We have far more the mass. And then we have the master Tan's age and assume we have one more. We have one more substance. Then we can't already use this mass with the Christmas. It's tentage to file the massive carbon hydrogen oxygen and they call us wanting number most. And then the number will be corresponding to their actual number off the, uh, elements in the market of formula. Okay, so first of all that stuff of carping. So the cabin we have musically two point, um, 47 times a seal 46 96 were 16 9.6, um, percent. And then we should have Ah, um, sierra 0.696 ah, 252.3. Graham And then we convert that to lumber. Almost, which is divided. Hoping by ah, 12th or 2 52 Ah, 0.3 here by 12 we have 21.0. Both. Okay, so we're going to do the same calculation for hydrogen and oxygen. So four hydrogen, we will have a freeze. Ah, time supose you lately for And then we were off the Iran 30 point to mo. All right, and then we are going to whip. You just accepted the same collision up. We just fucking different lumber over here. We have leave 60 to 44 7 and therefore oxygen, we have 22.1%. So we should be able to find that also genius Arun 80.1 gram and anti web by ah 16 which you're able to find that we have five more for our oxygen. Okay, so we just do copy and paste the lumber, move to our molecular formula, and then we will have the ah molecule. Former correct, um, correctly So far, all surgeons 21. So just for 21 for ah, hydrogen is Ferdy point to most a wolf forever on 30 people. We want a whole number. So we just went down. And then for oxygen, we were five. So the molecule Fiona will be a C 21. It's 30 and old five.