/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 123 The element magnesium reacts wit... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The element magnesium reacts with the element oxygen to form a white solid compound, magnesium oxide. When a sample of magnesium that weighs \(24.30 \mathrm{~g}\) reacts with oxygen, it is found that the magnesium oxide produced weighs exactly \(40.30 \mathrm{~g}\). (a) Calculate the mass of oxygen in the magnesium oxide. (b) Calculate the mass of magnesium oxide that could be produced from \(40.0 \mathrm{~g}\) magnesium.

Short Answer

Expert verified
(a) The mass of oxygen is 16.00 g. (b) 66.31 g of MgO can be produced from 40.0 g of Mg.

Step by step solution

01

Understand the Reaction

Magnesium (Mg) reacts with oxygen (O) to form magnesium oxide (MgO). The chemical equation is given by \( 2\text{Mg} + \text{O}_2 \rightarrow 2\text{MgO} \).
02

Calculate the Mass of Oxygen (Part a)

Since the mass of magnesium used is \( 24.30 \text{ g} \) and the mass of magnesium oxide produced is \( 40.30 \text{ g} \), we can use the law of conservation of mass to find the mass of oxygen. Mass of oxygen = mass of MgO - mass of Mg = \( 40.30 \text{ g} - 24.30 \text{ g} = 16.00 \text{ g} \).
03

Calculate the Mass of MgO Produced from 40g Mg (Part b)

First, calculate the molar mass of Mg and MgO. The molar mass of Mg is approximately 24.31 g/mol, and the molar mass of MgO is approximately 40.31 g/mol.Next, calculate the moles of magnesium in 40 g: \( \frac{40.0 \text{ g}}{24.31 \text{ g/mol}} = 1.646 \text{ mol} \).From the balanced chemical equation \( 2\text{Mg} + \text{O}_2 \rightarrow 2\text{MgO} \), it is clear that 1 mole of Mg produces 1 mole of MgO. Thus, \( 1.646 \text{ mol Mg} \) also means we have \( 1.646 \text{ mol MgO} \).Now, calculate the mass of MgO that can be produced: \( 1.646 \text{ mol MgO} \times 40.31 \text{ g/mol} = 66.31 \text{ g} \).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Stoichiometry
Stoichiometry is like the recipe for a chemical reaction. It tells us the precise amount of each ingredient we need to make the desired product. Understanding stoichiometry helps us predict how much product we can form from given reactants.

Consider the reaction between magnesium and oxygen to create magnesium oxide. The balanced chemical equation is:
\[ 2\text{Mg} + \text{O}_2 \rightarrow 2\text{MgO} \]

This equation tells us two moles of magnesium react with one mole of oxygen gas to form two moles of magnesium oxide.
  • For every mole of magnesium, the reaction produces one mole of magnesium oxide.
  • If you begin with more or less magnesium, oxygen, or magnesium oxide than stated in the equation, you need to adjust your calculations accordingly.
Stoichiometry uses these ratios to answer questions, like how much product forms from a given amount of reactants, reliably managing substances in chemical reactions.
Law of Conservation of Mass
The law of conservation of mass is a fundamental principle in chemistry. It states that mass is neither created nor destroyed in a chemical reaction. This means the total mass of the reactants equals the total mass of the products.

In the magnesium and oxygen reaction, we have:
  • Mass of reactants (Mg + O) = Mass of product (MgO).
  • If we start with 24.30 g of magnesium and produce 40.30 g of magnesium oxide, this implies that the mass of oxygen reacting with magnesium is:
    • 16.00 g (because 40.30 g MgO - 24.30 g Mg = 16.00 g O)
This law ensures that calculations involving chemical reactions remain accurate and consistent, illustrating that matter is constant before and after the reaction.
Molar Mass
Molar mass is essential in chemistry to convert between the mass of a substance and the amount in moles. One mole is a standard amount in chemistry used to count particles, similarly to how a dozen counts items.

  • The molar mass of magnesium (Mg) is about 24.31 g/mol.
  • The molar mass of magnesium oxide (MgO) is roughly 40.31 g/mol.
These values allow us to convert the measured mass of these substances into moles, facilitating stoichiometric calculations.
For instance, if you have 40.0 g of magnesium:
  • It represents \( \frac{40.0 \, \text{g}}{24.31 \, \text{g/mol}} = 1.646 \, \text{mol} \) Mg.
Either when forming or analyzing reactions, molar mass helps us scale up or down, relating molecular chemistry to our tangible world of grams and molecules.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

For each of the changes described, decide whether two or more elements formed a compound or if a compound decomposed (to form elements or other compounds). Explain your reasoning in each case. (a) Upon heating, a blue powder turned white and lost mass. (b) A white solid forms three different gases when heated. The total mass of the gases is the same as that of the solid.

Give a nanoscale interpretation of the fact that at the melting point the density of solid mercury is greater than the density of liquid mercury, and at the boiling point the density of liquid mercury is greater than the density of gaseous mercury.

The cancer drug cisplatin contains \(65.0 \%\) platinum. You have a \(1.53-\mathrm{g}\) sample of the compound; calculate the mass of platinum it contains.

Hexane (density \(=0.66 \mathrm{~g} / \mathrm{cm}^{3}\) ), perfluorohexane (density \(=1.669 \mathrm{~g} / \mathrm{cm}^{3}\) ), and water are immiscible liquids; that is, they do not dissolve in one another. You place \(10 \mathrm{~mL}\) of each in a graduated cylinder, along with pieces of high- density polyethylene (HDPE, density \(0.97 \mathrm{~g} / \mathrm{mL}\) ), polyvinyl chloride (PVC, density = \(\left.1.36 \mathrm{~g} / \mathrm{cm}^{3}\right),\) and Teflon (density \(\left.=2.3 \mathrm{~g} / \mathrm{cm}^{3}\right) .\) None of these common plastics dissolves in these liquids. Describe what you expect to see.

Water does not mix with either benzene or bromobenzene when it is stirred together with either of them, but benzene and bromobenzene do mix. (a) If you pour \(2 \mathrm{~mL}\) bromobenzene into a test tube, then add \(2 \mathrm{~mL}\) water and stir, what would the test tube look like a few minutes later? (b) Suppose you add \(2 \mathrm{~mL}\) benzene to the test tube in part (a), pouring the benzene carefully down the side of the tube so that the liquids do not mix. Describe the appearance of the test tube now. (c) If the test tube containing all three liquids is thoroughly shaken and then allowed to stand for five minutes, what will the tube look like?

See all solutions

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.