Upon decomposition, one sample of magnesium fluoride produced 1.65 kg of magnesium and 2.57 kg of fluorine. A second sample produced 1.32 kg of magnesium. How much fluorine (in grams) did the second sample produce?
Step 1 of 3
You don't even need the balanced chemical equation for this one, all you need to use to solve this problem is the conservation of mass law.
So, the first sample produced 1.64 kg of magnesium and 2.56 kg of fluorine. Since the combined mass of the products must equal the mass of the reactant, you'll have
magnesium fluoride=1.64+2.56=4.20 kg
Out of this,
1.64 kg 4.20 kg⋅100%=39% by mass is magnesium, and
2.56 kg 4.20 kg⋅100%=61% by mass is fluorine.
Since the same compound undergoes decomposition in the second reaction, the same proportions by mass will be true for both magnesium, and fluorine. So, the second sample produces 1.29 kg of magnesium, which means that
1.29 kg⋅10039=3.31 kg of magnesium fluoride is in the second sample, which means that
3.31 kg⋅61100=2.02 kg of fluorine will be produced this time.
Verify that the mass is conserved by
3.31 kg=1.29 kg+2.02 kg, which confirms the calculations for fluorine and for the magnesium fluoride.
Textbook: Introductory Chemistry
Author: Nivaldo J Tro
Introductory Chemistry was written by and is associated to the ISBN: 9780321910295. Since the solution to 27P from 5 chapter was answered, more than 466 students have viewed the full step-by-step answer. The answer to “Upon decomposition, one sample of magnesium fluoride produced 1.65 kg of magnesium and 2.57 kg of fluorine. A second sample produced 1.32 kg of magnesium. How much fluorine (in grams) did the second sample produce?” is broken down into a number of easy to follow steps, and 35 words. This full solution covers the following key subjects: magnesium, sample, produced, fluorine, decomposition. This expansive textbook survival guide covers 19 chapters, and 2046 solutions. The full step-by-step solution to problem: 27P from chapter: 5 was answered by , our top Chemistry solution expert on 05/06/17, 06:45PM. This textbook survival guide was created for the textbook: Introductory Chemistry, edition: 5.