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(a) Determine the chemical formula of the product formed when the metallic element aluminum combines with the nonmetallic element bromine, \(\mathrm{Br}_{2}\). Write the balanced chemical equation for the reaction. (b) What products form when a compound containing \(\mathrm{C}, \mathrm{H},\) and \(\mathrm{O}\) is completely combusted in air? Write a balanced chemical equation for the combustion of acetone, \(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}(l),\) in air.

Short Answer

Expert verified
The product formed when aluminum combines with bromine is AlBr鈧, and the balanced chemical equation for the reaction is \(2 \mathrm{Al}(s) + 3 \mathrm{Br}_{2}(l) \rightarrow 2 \mathrm{AlBr}_{3}(s)\). When a compound containing C, H, and O is completely combusted in air, the products are carbon dioxide (CO鈧) and water (H鈧侽). The balanced chemical equation for the combustion of acetone (\(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}(l)\)) is \(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}(l) + 4 \mathrm{O}_{2}(g) \rightarrow 3 \mathrm{CO}_{2}(g) + 3 \mathrm{H}_{2}\mathrm{O}(l)\).

Step by step solution

01

Determine the ions formed by each element

Aluminum is a metal and forms a positive ion with a charge of +3 (Al鲁鈦) in a chemical reaction. Bromine is a non-metal and forms a negative ion with a charge of -1 (Br鈦) in a chemical reaction. Step 2: Combine the ions to form a compound
02

Write the chemical formula of the product

Since Al鲁鈦 has a charge of +3 and Br鈦 has a charge of -1, we need three Br鈦 ions to balance the charge of one Al鲁鈦 ion. Hence, the chemical formula of the compound formed is AlBr鈧. Step 3: Write the balanced chemical equation
03

Write the balanced chemical equation for Al reacting with Br鈧

The balanced chemical equation is: \[2 \mathrm{Al}(s) + 3 \mathrm{Br}_{2}(l) \rightarrow 2 \mathrm{AlBr}_{3}(s)\] For the second part of the exercise: Step 1: Determine the products of combustion
04

Identify the products of combustion

When compounds containing carbon, hydrogen, and oxygen are combusted in air, the products formed are carbon dioxide (CO鈧) and water (H鈧侽). Step 2: Write the balanced chemical equation for the combustion of acetone
05

Write the balanced chemical equation for \(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}(l)\)

The balanced chemical equation for the combustion of acetone is: \[\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}(l) + 4 \mathrm{O}_{2}(g) \rightarrow 3 \mathrm{CO}_{2}(g) + 3 \mathrm{H}_{2}\mathrm{O}(l)\]

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Key Concepts

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

Chemical Formula
A chemical formula represents the types and numbers of atoms in a molecule of a compound. It acts like a shorthand notation that tells us the composition of a compound precisely. For example, when aluminum and bromine react, we first identify the ions they form. Aluminum, being a metal, forms a cation with a +3 charge, written as \( \text{Al}^{3+} \), whereas bromine, a non-metal, forms an anion with a -1 charge, \( \text{Br}^{-} \).

To form a neutral compound, these charges need to be balanced. This means we need three bromine atoms for each aluminum atom to balance the charges. The resulting chemical formula is \( \text{AlBr}_3 \), which indicates that each molecule of this compound consists of one aluminum atom and three bromine atoms.

The importance of the chemical formula is that it not only tells us the proportion of the elements but also helps to predict the possible reactions with other chemicals, as it reflects the internal structure of the molecule.
Balanced Chemical Equation
A balanced chemical equation is a statement that uses chemical formulas to show the identities and amounts of substances involved in a chemical reaction. This equation follows the law of conservation of mass, which states that matter cannot be created or destroyed in a closed system.

For a chemical reaction between aluminum and bromine, we have the formula \( 2 \text{Al}(s) + 3 \text{Br}_2(l) \rightarrow 2 \text{AlBr}_3(s) \). This shows that two moles of aluminum react with three moles of bromine to produce two moles of aluminum bromide.

Balancing chemical equations involves adjusting the coefficients (the numbers in front of the molecules) to ensure that there are equal numbers of each type of atom on both sides of the equation. This balance ensures that the mass and the atoms are conserved in the reaction. Balancing equations is crucial as it reflects the actual ratios in which substances react and informs us about the stoichiometry of the reaction.
Combustion Reaction
A combustion reaction involves the burning of a substance in the presence of oxygen, releasing energy in the form of heat and light. Many organic compounds, particularly those containing carbon (C), hydrogen (H), and sometimes oxygen (O), undergo combustion.

During combustion, complete oxidation of a carbon-containing compound leads to the formation of carbon dioxide (\( \text{CO}_2 \)) and water (\( \text{H}_2\text{O} \)). In the case of acetone, an organic compound with the formula \( \text{C}_3\text{H}_6\text{O} \), the combustion reaction in air can be represented as:

\[ \text{C}_3 \text{H}_6 \text{O}(l) + 4 \text{O}_2(g) \rightarrow 3 \text{CO}_2(g) + 3 \text{H}_2\text{O}(l) \]

This balanced reaction equation reveals that one molecule of acetone requires four molecules of oxygen to produce three molecules each of carbon dioxide and water. Understanding combustion reactions is essential because it relates to everyday events such as burning fuels in engines, cooking, and even breathing.

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Most popular questions from this chapter

(a) What scientific principle or law is used in the process of balancing chemical equations? (b) In balancing equations, why should you not change subscripts in chemical formulas? (c) How would you write out liquid water, water vapor, aqueous sodium chloride, and solid sodium chloride in chemical equations?

(a) Define the terms theoretical yield, actual yield, and percent yield. (b) Why is the actual yield in a reaction almost always less than the theoretical yield? (c) Can a reaction ever have \(110 \%\) actual yield?

Washing soda, a compound used to prepare hard water for washing laundry, is a hydrate, which means that a certain number of water molecules are included in the solid structure. Its formula can be written as \(\mathrm{Na}_{2} \mathrm{CO}_{3} \cdot x \mathrm{H}_{2} \mathrm{O},\) where \(x\) is the number of moles of \(\mathrm{H}_{2} \mathrm{O}\) per mole of \(\mathrm{Na}_{2} \mathrm{CO}_{3}\). When a \(2.558-\mathrm{g}\) sample of washing soda is heated at \(25^{\circ} \mathrm{C},\) all the water of hydration is lost, leaving \(0.948 \mathrm{~g}\) of \(\mathrm{Na}_{2} \mathrm{CO}_{3} .\) What is the value of \(x ?\)

Sodium hydroxide reacts with carbon dioxide as follows: \(2 \mathrm{NaOH}(s)+\mathrm{CO}_{2}(g) \longrightarrow \mathrm{Na}_{2} \mathrm{CO}_{3}(s)+\mathrm{H}_{2} \mathrm{O}(l)\) Which is the limiting reactant when \(1.85 \mathrm{~mol} \mathrm{NaOH}\) and 1.00 \(\mathrm{mol} \mathrm{CO}_{2}\) are allowed to react? How many moles of \(\mathrm{Na}_{2} \mathrm{CO}_{3}\) can be produced? How many moles of the excess reactant remain after the completion of the reaction?

Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately \(300 \mathrm{mg}\) HCN per kilogram of air when inhaled. (a) Calculate the amount of HCN that gives the lethal dose in a small laboratory room measuring \(12 \times 15 \times 8.0 \mathrm{ft}\). The density of air at \(26^{\circ} \mathrm{C}\) is \(0.00118 \mathrm{~g} / \mathrm{cm}^{3}\). (b) If the \(\mathrm{HCN}\) is formed by reaction of \(\mathrm{NaCN}\) with an acid such as \(\mathrm{H}_{2} \mathrm{SO}_{4}\), what mass of \(\mathrm{NaCN}\) gives the lethal dose in the room? \(2 \mathrm{NaCN}(s)+\mathrm{H}_{2} \mathrm{SO}_{4}(a q) \longrightarrow \mathrm{Na}_{2} \mathrm{SO}_{4}(a q)+2 \mathrm{HCN}(g)\) (c) HCN forms when synthetic fibers containing Orlon \(^{\oplus}\) or Acrilan \(^{\otimes}\) burn. Acrilan \(^{\oplus}\) has an empirical formula of \(\mathrm{CH}_{2} \mathrm{CHCN},\) so \(\mathrm{HCN}\) is \(50.9 \%\) of the formula by mass. \(\mathrm{A}\) rug measures \(12 \times 15 \mathrm{ft}\) and contains 30 oz of Acrilan \(^{\otimes}\) fibers per square yard of carpet. If the rug burns, will a lethal dose of HCN be generated in the room? Assume that the yield of HCN from the fibers is \(20 \%\) and that the carpet is \(50 \%\) consumed.

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