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Problem 108 Hard Difficulty

Using the average atomic masses given inside the front cover of this text, calculate the mass in grams of each of the following samples.
a. 5.0 moles of potassium
b. 0.000305 mole of mercury
c. $2.31 \times 10^{-5}$ moles of manganese
d. 10.5 moles of phosphorus
e. $4.9 \times 10^{4}$ moles of iron
f. 125 moles of lithium
g. 0.01205 mole of fluorine

Answer

A.$2.0 \times 10^{2} \mathrm{g}$
B.0.0612 $\mathrm{g}$
C.$1.27 \times 10^{-3} \mathrm{g}$
D.$3.25 \times 10^{2} \mathrm{g}$
E.$2.7 \times 10^{6} \mathrm{g}$
F.$8.68 \times 10^{2} \mathrm{g}$
G.0.2290 $\mathrm{g}$

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Video Transcript

Okay, here we have a list of seven elements with their number of moles, and we're trying to find how much each quantity wakes. You're looking for mess. That's quickly, McCall. The formula for maths, the vast simply moments, all supplied by Moeller Mass. Okay, so everything he's been given this small, so usually don't want to play that by Mullah Mass We're going to do now is just plug in check. Okay, so first off, you have five moles of potassium. We're gonna take that, multiply it by moments of protest in just 39 just without your, um you're proud of table and find the element. And the atomic mass will is directly equivalent to more or less. All right, so the one for protesting is 39 0.0, nine grams per mole. Okay, so we do this multiplication and carrier all the units we get 195 point for grams of potassium. Okay, with simple Next up, we have mercury and we have 3.5 times 10 to the exponents. Negative for us with this shorthand means it means times 10 to the exponents, like before moles of mercury. So fine Mercury on your periodic table to see its atomic mass. We see that it is 200 times 59 that 200.59 grams per mole and this'll product is zero point 06 117 Yes, Army Gramps are next. We have, um, Mangga Knees. You have 2.31 times 10 to the Explain it. I got a five moles of making months. It's a this, um, elements. This model is in the fourth period, if you're looking for it and it has a molar mass of 54.9 three grams per mole, let's stop for a moment to do so mean analysis. So we have moles here in the numerator and mull trended nominators. That's an official Cancel haute. Just use work for that at all. I have left grand new readers, so he No, but we did it. Rate living us 1.26 Mine times tend to the exponents. Negative three. Okay, next up, we have phosphorus and 10.5 months of it. So when Klaus first under proud of people that's more played by the atomic Max just dirty 0.7 point 973 76 grams per mole, and then our product is 325 0.2. Clamps. What's Gramps to next? We have iron and 4.9 times 10 to the exponents. Four. So lot moles off iron. So what's more, the blade by iron small amounts. 55.845 grams per mole. It was equivalent to a very large number. Two point 74 times tend to the exponents. Six. It's basically two million, um, grams of the stuff. Mm. Um, next we have lithium. A 125 moles off the In King. It's multiply by the molar mass with them both. Certain grams per mole molds cancels out, and we get 867 0.6. Gramps, with him asked, Leave! We have flurry in front 012 of our moles of it. It's more the play by the molar Mass off Florian 18 Point night Mine, Gramps Promote, given the product. 0.22 nine grams. A flurry

McMaster University
Top Chemistry 101 Educators
TD
Theodore D.

Carleton College

KS
Karli S.

Numerade Educator

JH
Jacquelin H.

Brown University

Jake R.

University of Toronto