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Write balanced chemical equations to correspond to each of the following descriptions: (a) When sulfur trioxide gas reacts with water, a solution of sulfuric acid forms. (b) Boron sulfide, \(\mathrm{B}_{2} \mathrm{~S}_{3}(s),\) reacts violently with water to form dissolved boric acid, \(\mathrm{H}_{3} \mathrm{BO}_{3},\) and hydrogen sulfide gas. (c) Phosphine, \(\mathrm{PH}_{3}(g)\), combusts in oxygen gas to form water vapor and solid tetraphosphorus decaoxide. (d) When solid mercury(II) nitrate is heated, it decomposes to form solid mercury(II) oxide, gaseous nitrogen dioxide, and oxygen. (e) Copper metal reacts with hot concentrated sulfuric acid solution to form aqueous copper(II) sulfate, sulfur dioxide gas, and water.

Short Answer

Expert verified
(a) \( SO_3 (g) + H_2 O (l) \rightarrow H_2 SO_4 (aq) \) (b) \( B_2 S_3 (s) + 6 H_2 O (l) \rightarrow 2 H_3 BO_3 (aq) + 3 H_2 S (g) \) (c) \( 4 PH_3 (g) + 8 O_2 (g) \rightarrow 6 H_2 O (g) + P_4 O_{10} (s) \) (d) \( 2 Hg(NO_3)_2 (s) \rightarrow 2 HgO (s) + 4 NO_2 (g) + O_2 (g) \) (e) \( Cu (s) + 2 H_2 SO_4 (aq) \rightarrow CuSO_4 (aq) + 2 SO_2 (g) + 2 H_2 O (l) \)

Step by step solution

01

(a) Sulfur trioxide gas reacts with water to form sulfuric acid

For this reaction, we can identify the reactants and products as follows: Reactants: Sulfur trioxide (SO鈧) and water (H鈧侽) Product: Sulfuric acid (H鈧係O鈧) Now, let's write the balanced chemical equation: \[ SO_3 (g) + H_2 O (l) \rightarrow H_2 SO_4 (aq) \]
02

(b) Boron sulfide reacts with water to form boric acid and hydrogen sulfide

For this reaction, we can identify the reactants and products as follows: Reactants: Boron sulfide (B鈧係鈧) and water (H鈧侽) Products: Boric acid (H鈧傿O鈧) and hydrogen sulfide (H鈧係) Now, let's write the balanced chemical equation: \[ B_2 S_3 (s) + 6 H_2 O (l) \rightarrow 2 H_3 BO_3 (aq) + 3 H_2 S (g) \]
03

(c) Phosphine combusts in oxygen gas to form water vapor and tetraphosphorus decaoxide

For this reaction, we can identify the reactants and products as follows: Reactants: Phosphine (PH鈧) and oxygen (O鈧) Products: Water vapor (H鈧侽) and tetraphosphorus decaoxide (P鈧凮鈧佲個) Now, let's write the balanced chemical equation: \[ 4 PH_3 (g) + 8 O_2 (g) \rightarrow 6 H_2 O (g) + P_4 O_{10} (s) \]
04

(d) Decomposition of solid mercury(II) nitrate

For this reaction, we can identify the reactants and products as follows: Reactant: Mercury(II) nitrate (Hg(NO鈧)鈧) Products: Solid mercury(II) oxide (HgO), gaseous nitrogen dioxide (NO鈧), and oxygen (O鈧) Now, let's write the balanced chemical equation: \[ 2 Hg(NO_3)_2 (s) \rightarrow 2 HgO (s) + 4 NO_2 (g) + O_2 (g) \]
05

(e) Copper reacts with hot concentrated sulfuric acid solution

For this reaction, we can identify the reactants and products as follows: Reactants: Copper metal (Cu) and hot concentrated sulfuric acid (H鈧係O鈧) Products: Aqueous copper(II) sulfate (CuSO鈧), sulfur dioxide gas (SO鈧), and water (H鈧侽) Now, let's write the balanced chemical equation: \[ Cu (s) + 2 H_2 SO_4 (aq) \rightarrow CuSO_4 (aq) + 2 SO_2 (g) + 2 H_2 O (l) \]

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Key Concepts

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

Chemical Reactions
Chemical reactions are the bread and butter of chemistry; they are the processes in which substances, known as reactants, transform into new products. These transformations happen through the breaking and forming of chemical bonds during which energy is either absorbed or released. For instance, when sulfur trioxide gas reacts with water, the resultant product is sulfuric acid, and this specific type of reaction is known as a synthesis or combination reaction.

When analyzing a chemical reaction, it is essential to know the properties of the reactants and products, like their physical state (solid, liquid, gas, aqueous), which is indicated by the symbols (s), (l), (g), and (aq) respectively. Understanding these concepts helps in predicting how different substances will interact and what safety precautions might be necessary during the reaction process.
Stoichiometry
Stoichiometry plays a pivotal role in chemistry; it's the quantitative relationship between reactants and products in a chemical reaction. Like baking a cake requires a precise amount of ingredients, a chemical reaction needs exact amounts of reactants to yield the intended products without leaving excess. Observing the problem involving boron sulfide and water, stoichiometry guides us to use six water molecules for every boron sulfide unit to form boric acid and hydrogen sulfide.

Stoichiometry extends beyond just balancing molecules; it involves calculations such as moles, volumes, and masses. Applying stoichiometry requires understanding of the mole concept, Avogadro's number, and molar masses. It also necessitates the ability to convert between units to ensure accurate measurements for a reaction to proceed correctly. Notably, stoichiometry is the fundamental basis of reaction yield predictions, chemical analysis, and industrial applications of chemical processes.
Reaction Balancing
Reaction balancing is the act of ensuring the law of conservation of mass is followed in a chemical equation; it demands that the same number of each type of atom exists on both the reactants' side and the products' side. For example, when copper reacts with sulfuric acid, balancing the reaction involves ensuring that copper, sulfur, oxygen, and hydrogen atoms are accounted for and equal on both sides of the equation.

To balance a reaction, one must systematically adjust the coefficients鈥攖he numbers placed before the chemical formulas. Through practice, certain strategies can be employed, such as starting with the most complex molecule typically improves efficiency. Additionally, double-checking the balance by counting the atoms of each element can reaffirm the accuracy of the balanced chemical equation. Balancing reactions is a skill that requires patience and practice but is indispensable for understanding chemical reactions.

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Most popular questions from this chapter

When benzene \(\left(\mathrm{C}_{6} \mathrm{H}_{6}\right)\) reacts with bromine \(\left(\mathrm{Br}_{2}\right)\), bromobenzene \(\left(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{Br}\right)\) is obtained: $$ \mathrm{C}_{6} \mathrm{H}_{6}+\mathrm{Br}_{2} \longrightarrow \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{Br}+\mathrm{HBr} $$ (a) When \(30.0 \mathrm{~g}\) of benzene reacts with \(65.0 \mathrm{~g}\) of bromine, what is the theoretical yield of bromobenzene? (b) If the actual yield of bromobenzene is \(42.3 \mathrm{~g}\), what is the percentage yield?

(a) The characteristic odor of pineapple is due to ethyl butyrate, a compound containing carbon, hydrogen, and oxygen. Combustion of \(2.78 \mathrm{mg}\) of ethyl butyrate produces \(6.32 \mathrm{mg}\) of \(\mathrm{CO}_{2}\) and \(2.58 \mathrm{mg}\) of \(\mathrm{H}_{2} \mathrm{O}\). What is the empirical formula of the compound? (b) Nicotine, a component of tobacco, is composed of \(\mathrm{C}, \mathrm{H},\) and \(\mathrm{N}\). A 5.250 -mg sample of nicotine was combusted, producing \(14.242 \mathrm{mg}\) of \(\mathrm{CO}_{2}\) and \(4.083 \mathrm{mg}\) of \(\mathrm{H}_{2} \mathrm{O}\). What is the empirical formula for nicotine? If nicotine has a molar mass of \(160 \pm 5 \mathrm{~g} / \mathrm{mol}\), what is its molecular formula?

Solutions of sodium carbonate and silver nitrate react to form solid silver carbonate and a solution of sodium nitrate. A solution containing \(3.50 \mathrm{~g}\) of sodium carbonate is mixed with one containing \(5.00 \mathrm{~g}\) of silver nitrate. How many grams of sodium carbonate, silver nitrate, silver carbonate, and sodium nitrate are present after the reaction is complete?

The fizz produced when an Alka-Seltzer \(^{\circledast}\) tablet is dissolved in water is due to the reaction between sodium bicarbonate \(\left(\mathrm{NaHCO}_{3}\right)\) and citric acid \(\left(\mathrm{H}_{3} \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{O}_{7}\right)\) $$ \begin{aligned} 3 \mathrm{NaHCO}_{3}(a q)+\mathrm{H}_{3} \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{O}_{7}(a q) \longrightarrow \\ & 3 \mathrm{CO}_{2}(g)+3 \mathrm{H}_{2} \mathrm{O}(l)+\mathrm{Na}_{3} \mathrm{C}_{6} \mathrm{H}_{5} \mathrm{O}_{7}(a q) \end{aligned} $$ In a certain experiment \(1.00 \mathrm{~g}\) of sodium bicarbonate and \(1.00 \mathrm{~g}\) of citric acid are allowed to react. (a) Which is the limiting reactant? (b) How many grams of carbon dioxide form? (c) How many grams of the excess reactant remain after the limiting reactant is completely consumed?

The complete combustion of octane, \(\mathrm{C}_{8} \mathrm{H}_{18}\), the main component of gasoline, proceeds as follows: \(2 \mathrm{C}_{8} \mathrm{H}_{18}(l)+25 \mathrm{O}_{2}(g) \longrightarrow 16 \mathrm{CO}_{2}(g)+18 \mathrm{H}_{2} \mathrm{O}(g)\) (a) How many moles of \(\mathrm{O}_{2}\) are needed to burn \(1.50 \mathrm{~mol}\) of \(\mathrm{C}_{8} \mathrm{H}_{18} ?\) (b) How many grams of \(\mathrm{O}_{2}\) are needed to burn \(10.0 \mathrm{~g}\) of \(\mathrm{C}_{8} \mathrm{H}_{18} ?\) (c) Octane has a density of \(0.692 \mathrm{~g} / \mathrm{mL}\) at \(20^{\circ} \mathrm{C}\). How many grams of \(\mathrm{O}_{2}\) are required to burn \(15.0 \mathrm{gal}\) of \(\mathrm{C}_{8} \mathrm{H}_{18}\) (the capacity of an average fuel tank)? (d) How many grams of \(\mathrm{CO}_{2}\) are produced when 15.0 gal of \(\mathrm{C}_{8} \mathrm{H}_{18}\) are combusted?

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