Answer:
26.95 %
Explanation:
Air contains the highest percentage of oxygen and nitrogen gases. Magnesium then combines with both of the gases:
![2 Mg (s) + O_2 (g)\rightarrow 2 MgO (s)](https://tex.z-dn.net/?f=2%20Mg%20%28s%29%20%2B%20O_2%20%28g%29%5Crightarrow%202%20MgO%20%28s%29)
![3 Mg (s) + N_2 (g)\rightarrow Mg_3N_2 (s)](https://tex.z-dn.net/?f=3%20Mg%20%28s%29%20%2B%20N_2%20%28g%29%5Crightarrow%20Mg_3N_2%20%28s%29)
Firstly, find the total number of moles of magnesium metal:
![n_{Mg} = \frac{1.000 g}{24.305 g/mol} = 0.041144 mol](https://tex.z-dn.net/?f=n_%7BMg%7D%20%3D%20%5Cfrac%7B1.000%20g%7D%7B24.305%20g%2Fmol%7D%20%3D%200.041144%20mol)
Let's say that x mol react in the first reaction and y mol react in the second reaction. This means:
![x + y = 0.041144 mol](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%200.041144%20mol)
According to stoichiometry, we form:
![n_{MgO} = x mol, n_{Mg_3N_2} = \frac{y}{3} mol](https://tex.z-dn.net/?f=n_%7BMgO%7D%20%3D%20x%20mol%2C%20n_%7BMg_3N_2%7D%20%3D%20%5Cfrac%7By%7D%7B3%7D%20mol)
Multiplying moles by the molar mass of each substance will yield mass. This means we form a total of:
![m_{MgO} = 40.31x g, m_{Mg_3N_2} = \frac{y}{3} 100.95 g =](https://tex.z-dn.net/?f=m_%7BMgO%7D%20%3D%2040.31x%20g%2C%20m_%7BMg_3N_2%7D%20%3D%20%5Cfrac%7By%7D%7B3%7D%20100.95%20g%20%3D%20)
The total mass is given, so we have our second equation to solve:
![40.31x + 33.65y = 1.584](https://tex.z-dn.net/?f=40.31x%20%2B%2033.65y%20%3D%201.584)
We have two unknowns and two equations, we may then solve:
![x + y = 0.041144](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%200.041144)
![40.31x + 33.65y = 1.584](https://tex.z-dn.net/?f=40.31x%20%2B%2033.65y%20%3D%201.584)
Express y from the first equation:
![y = 0.041144 - x](https://tex.z-dn.net/?f=y%20%3D%200.041144%20-%20x)
Substitute into the second equation:
![40.31x + 33.65(0.04144 - x) = 1.584](https://tex.z-dn.net/?f=40.31x%20%2B%2033.65%280.04144%20-%20x%29%20%3D%201.584)
![40.31x + 1.39446 - 33.65x = 1.584](https://tex.z-dn.net/?f=40.31x%20%2B%201.39446%20-%2033.65x%20%3D%201.584)
![6.66x = 0.18954](https://tex.z-dn.net/?f=6.66x%20%3D%200.18954)
![x = 0.028459](https://tex.z-dn.net/?f=x%20%3D%200.028459)
![y = 0.041144 - x = 0.012685](https://tex.z-dn.net/?f=y%20%3D%200.041144%20-%20x%20%3D%200.012685)
Moles of nitride formed:
![n_{Mg_3N_2} = \frac{y}{3} = 0.0042282 mol](https://tex.z-dn.net/?f=n_%7BMg_3N_2%7D%20%3D%20%5Cfrac%7By%7D%7B3%7D%20%3D%200.0042282%20mol)
Convert this to mass:
![m_{Mg_3N_2} = 0.0042282 mol\cdot 100.95 g/mol = 0.4268 g](https://tex.z-dn.net/?f=m_%7BMg_3N_2%7D%20%3D%200.0042282%20mol%5Ccdot%20100.95%20g%2Fmol%20%3D%200.4268%20g)
Find the percentage:
![\omega_{Mg_3N_2} = \frac{0.4268 g}{1.584 g}\cdot 100\% = 26.95 \%](https://tex.z-dn.net/?f=%5Comega_%7BMg_3N_2%7D%20%3D%20%5Cfrac%7B0.4268%20g%7D%7B1.584%20g%7D%5Ccdot%20100%5C%25%20%3D%2026.95%20%5C%25)
Answer: The correct answer to this question is B because thats
what it states and says
Explanation:
Answer:
These are three different forms of expressing a volume of 2000 ml:
Explanation:
The expression 2000 ml means 2000 mililiters and convey three important informations:
- The unit, which is mililiter (1 ml = 1 / 1,000 liter)
- The magnitude, which is 2000
- The precision: the zeros to the right of the figure 2 are not significative, so this magnitue is precise only to the thousands units. This means, that the measure could be between 1500 and 2499 (ml).
You might express the same volume with a different unit, e.g. liter, and in a different way (using scientific notation).
<u>1) Changing the unit.</u>
To change ml to liter you must multiply for the conversion factor:
Thus, 2000 ml is equal to:
- 2000 ml × 1 liter / 1,000 ml = 2 liter
<u>2) Using scientific notation:</u>
You change the number to a power of ten, using a decimal greater than or equal to 1 and less than 10.
For 2000 the decimal is 2. and the power of ten is 3 (for the three zeros after the 2):
1.9993999057621666 moles
1 mole = 36.46094