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Chapter 2: Problem 7

In Example \(2-1,\) we established that the mass ratio of magnesium to magnesium oxide is 0.455 g magnesium/ \(0.755 \mathrm{g}\) magnesium oxide. (a) What is the ratio of oxygen to magnesium oxide, by mass? (b) What is the mass ratio of oxygen to magnesium in magnesium oxide? (c) What is the percent by mass of magnesium in magnesium oxide?

Short Answer

Expert verified
a) The ratio of oxygen to magnesium oxide, by mass, is 0.397. b) The mass ratio of oxygen to magnesium in magnesium oxide is 0.659. c) The percent by mass of magnesium in magnesium oxide is 60.26%.

Step by step solution

01

Find the Mass of Oxygen in Magnesium Oxide

The mass of oxygen in magnesium oxide can be determined by subtracting the mass of magnesium from the total mass of magnesium oxide: \[ \text{Mass of Oxygen in MgO} = \text{Total mass of MgO} - \text{Mass of Mg}\ \text{Mass of Oxygen in MgO} = 0.755 \text{ g} - 0.455 \text{ g} = 0.3 \text{ g}\]
02

The Ratio of Oxygen to Magnesium Oxide, by Mass

\[\text{Ratio of O to MgO} = \frac{0.3 \text{ g (mass of oxygen)}}{0.755 \text{ g (total mass of magnesium oxide)}} = 0.397\]
03

The Mass Ratio of Oxygen to Magnesium in Magnesium Oxide

This can be calculated as \[\text{Ratio of O to Mg} = \frac{0.3 \text{ g (mass of oxygen)}}{0.455 \text{ g (mass of magnesium)}} = 0.659\]
04

The Percent by Mass of Magnesium in Magnesium Oxide

Percentage by mass of magnesium in magnesium oxide can be calculated as follows: \[\text{Percentage of Mg in MgO} = \frac{\text{mass of Mg}}{\text{total mass of MgO}} \times 100 = \frac{0.455 \text{ g}}{0.755 \text{ g}} \times 100 = 60.26 \% \]

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Most popular questions from this chapter

The mass of the isotope \(\frac{84}{36} \mathrm{Xe}\) is 83.9115 u. If the atomic mass scale were redefined so that \(\frac{84}{36} \mathrm{Xe}=84 \mathrm{u},\) exactly, the mass of the \(^{12} \mathrm{C}\) isotope would be (a) \(11.9115 \mathrm{u}\) (b) \(11.9874 \mathrm{u} ;\) (c) \(12 \mathrm{u}\) exactly; \((\mathrm{d}) 120127 \mathrm{u} ;(\mathrm{e}) 12.0885 \mathrm{u}\)

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