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Write balanced chemical equations corresponding to each of the following descriptions: (a) Potassium cyanide reacts with an aqueous solution of sulfuric acid to form hydrogen cyanide gas. (b) When an aqueous solution of ammonium nitrite \(\left(\mathrm{NH}_{4} \mathrm{NO}_{2}\right)\) reacts with an aqueous solution of potassium hydroxide, ammonia gas, water and metal nitrate is formed. (c) When hydrogen gas is passed over solid hot iron(III) oxide, the resulting reaction produces iron and gaseous water. (d) When liquid ethanoic acid \(\left(\mathrm{CH}_{3} \mathrm{COOH}\right)\) is combusted, carbon dioxide and water are formed.

Short Answer

Expert verified
Balance each equation: (a) KCN reacts with \(\text{H}_2\text{SO}_4\); (b) \(\text{NH}_4\text{NO}_2\) with KOH; (c) \(\text{H}_2\) with \(\text{Fe}_2\text{O}_3\); (d) \(\text{CH}_3\text{COOH}\) with \(\text{O}_2\).

Step by step solution

01

Identify Reactants and Products for Reaction A

In reaction (a), potassium cyanide (\(\text{KCN}\)) reacts with sulfuric acid (\(\text{H}_2\text{SO}_4\)). The products formed are hydrogen cyanide gas (\(\text{HCN}\)) and the expected byproduct in the solution, which will be potassium sulfate (\(\text{K}_2\text{SO}_4\)).
02

Write Balanced Equation for Reaction A

The balanced chemical equation for reaction (a) is: \[ 2 \text{KCN} + \text{H}_2\text{SO}_4 \rightarrow 2 \text{HCN(g)} + \text{K}_2\text{SO}_4 \]
03

Identify Reactants and Products for Reaction B

In reaction (b), ammonium nitrite (\(\text{NH}_4\text{NO}_2\)) reacts with potassium hydroxide (\(\text{KOH}\)). The products are ammonia gas (\(\text{NH}_3\)), water (\(\text{H}_2\text{O}\)), and potassium nitrate (\(\text{KNO}_3\)).
04

Write Balanced Equation for Reaction B

The balanced chemical equation for reaction (b) is: \[ \text{NH}_4\text{NO}_2 + \text{KOH} \rightarrow \text{NH}_3(g)+ \text{H}_2\text{O} + \text{KNO}_3 \]
05

Identify Reactants and Products for Reaction C

In reaction (c), hydrogen gas (\(\text{H}_2\)) is passed over iron(III) oxide (\(\text{Fe}_2\text{O}_3\)) to form iron (\(\text{Fe}\)) and water vapor (\(\text{H}_2\text{O(g)}\)).
06

Write Balanced Equation for Reaction C

The balanced chemical equation for reaction (c) is: \[ 3 \text{H}_2 + \text{Fe}_2\text{O}_3 \rightarrow 2 \text{Fe} + 3 \text{H}_2\text{O(g)} \]
07

Identify Reactants and Products for Reaction D

In reaction (d), ethanoic acid (\(\text{CH}_3\text{COOH}\)) is combusted to form carbon dioxide (\(\text{CO}_2\)) and water (\(\text{H}_2\text{O}\)).
08

Write Balanced Equation for Reaction D

The balanced chemical equation for reaction (d) is: \[ 2 \text{CH}_3\text{COOH} + 4 \text{O}_2 \rightarrow 4 \text{CO}_2 + 4 \text{H}_2\text{O} \]

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Key Concepts

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

Chemical Reactions
Chemical reactions occur when substances, commonly referred to as reactants, undergo chemical changes to form new substances known as products. Each reaction involving chemical substances entails changes at the molecular level. Here, bonds between atoms in the reactants are broken, and new bonds are formed to create the products. For example, when sulfuric acid reacts with potassium cyanide, bonds in these compounds break and rearrange to form hydrogen cyanide and potassium sulfate.

Understanding chemical reactions is crucial not only in chemistry but also in daily life. From the rusting of iron to the digestion of food, reactions are all around us. Chemical equations are used to represent these reactions and help us understand them better. By learning to interpret these equations, we gain insights into the reactants and products involved and the quantities required for the reaction to occur.
  • Reactants: Starting substances in a chemical reaction
  • Products: New substances formed as a result of the reaction
  • Reactions can be influenced by various factors like temperature and concentration
Identification of Reactants and Products
Before writing a chemical equation, it's important to identify the reactants and the products. This identification allows us to understand what substances are involved in the reaction and what are being created. Reactants are typically mentioned in the beginning, while products are listed at the end.

For instance, in the reaction where potassium cyanide reacts with sulfuric acid, potassium cyanide (\( ext{KCN} \)) and sulfuric acid (\( ext{H}_2 ext{SO}_4 \)) are the reactants. The products of this reaction are hydrogen cyanide (\( ext{HCN} \)) and potassium sulfate (\( ext{K}_2 ext{SO}_4 \)). Likewise, identifying the correct substances involved in any chemical reaction is the key starting point to balance and understand the chemical equation.
  • Analyze the problem statement to distinguish reactants and products
  • Often, the reactants are provided, and you must deduce possible products
  • Reactants and products must be consistent with the description of the chemical reaction
Writing Equations
Writing chemical equations is an essential step for visualizing a chemical reaction. These equations consist of chemical formulas that represent the substances involved. A typical chemical equation will have reactants on the left side, products on the right, separated by an arrow indicating the direction of the reaction.

Consider the reaction: when ammonium nitrite reacts with potassium hydroxide, the chemical equation can be written as \( ext{NH}_4 ext{NO}_2 + ext{KOH} \rightarrow ext{NH}_3(g) + ext{H}_2 ext{O} + ext{KNO}_3 \). Here, plus signs are used to separate different reactants or products, and physical states (such as (g) for gas) are specified for clarity.
  • Utilize correct chemical symbols and formulas for reactants and products
  • Ensure proper arrows to show the direction of the reaction
  • Include physical states where necessary for added detail
Chemical Equations Balancing
Balancing chemical equations is crucial because it ensures the Law of Conservation of Mass is upheld. This law states that mass cannot be created or destroyed in a chemical reaction, meaning the mass of reactants must equal the mass of products. To balance a chemical equation, each type of atom must have the same number on both sides of the equation.

Take, for example, the combustion of ethanoic acid: \( 2 ext{CH}_3 ext{COOH} + 4 ext{O}_2 \rightarrow 4 ext{CO}_2 + 4 ext{H}_2 ext{O} \). Each element appears in equal numbers on both sides of the equation, indicating a balanced process.
  • Start balancing with the least common atoms or with elements that appear in only one reactant and one product
  • Adjust coefficients to balance the number of atoms for each element
  • Re-verify your balanced equation to ensure accuracy

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Most popular questions from this chapter

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 \(2.558-g\) sample of washing soda is heated at \(125^{\circ} \mathrm{C},\) all the water of hydration is lost, leaving \(0.948 \mathrm{~g}\) of \(\mathrm{Na}_{2} \mathrm{CO}_{3} .\) What is the value of \(x ?\)

A sample of the male sex hormone testosterone, \(\mathrm{C}_{19} \mathrm{H}_{28} \mathrm{O}_{2}\), contains \(3.88 \times 10^{21}\) hydrogen atoms. (a) How many atoms of carbon does it contain? (b) How many molecules of testosterone does it contain? (c) How many moles of testosterone does it contain? (d) What is the mass of this sample in grams?

Give the empirical formula of each of the following compounds if a sample contains (a) \(0.052 \mathrm{~mol} \mathrm{C}, 0.103 \mathrm{~mol}\) \(\mathrm{H}\), and \(0.017 \mathrm{~mol} \mathrm{O} ;\) (b) \(2.10 \mathrm{~g}\) nickel and \(0.58 \mathrm{~g}\) oxygen; (c) \(26.56 \% \mathrm{~K}, 35.41 \% \mathrm{Cr}\), and \(38.03 \% \mathrm{O}\) by mass.

One of the steps in the commercial process for converting ammonia to nitric acid is the conversion of \(\mathrm{NH}_{3}\) to NO: $$ 4 \mathrm{NH}_{3}(g)+5 \mathrm{O}_{2}(g) \longrightarrow 4 \mathrm{NO}(g)+6 \mathrm{H}_{2} \mathrm{O}(g) $$ In a certain experiment, \(2.00 \mathrm{~g}\) of \(\mathrm{NH}_{3}\) reacts with \(2.50 \mathrm{~g}\) of \(\mathrm{O}_{2} .\) (a) Which is the limiting reactant? (b) How many grams of \(\mathrm{NO}\) and \(\mathrm{H}_{2} \mathrm{O}\) form? \((\mathbf{c})\) How many grams of the excess reactant remain after the limiting reactant is completely consumed? (d) Show that your calculations in parts (b) and (c) are consistent with the law of conservation of mass.

The thermite reaction, $$ \mathrm{Fe}_{2} \mathrm{O}_{3}+\mathrm{Al} \rightarrow \mathrm{Al}_{2} \mathrm{O}_{3}+\mathrm{Fe} $$ produces so much heat that the Fe product melts. This reaction is used industrially to weld metal parts under water, where a torch cannot be employed. It is also a favorite chemical demonstration in the lecture hall (on a small scale). (a) Balance the chemical equation for the thermite reaction, and include the proper states of matter. (b) Calculate how many grams of aluminum are needed to completely react with \(500.0 \mathrm{~g}\) of \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) in this reaction. (c) This reaction produces \(852 \mathrm{~kJ}\) of heat per mole of \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) reacted. How many grams of \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) are needed to produce \(1.00 \times 10^{4} \mathrm{~kJ}\) of heat? (d) If you performed the reverse reaction- aluminum oxide plus iron makes iron oxide plus aluminum-would that reaction have heat as a reactant or a product?

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