Problem 17
Question
Complete and balance the following equations: $$\begin{array}{l}{\text { (a) } \mathrm{NaOCH}_{3}(s)+\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow} \\ {\text { (b) } \mathrm{CuO}(s)+\mathrm{HNO}_{3}(a q) \longrightarrow} \\ {\text { (c) } \mathrm{WO}_{3}(s)+\mathrm{H}_{2}(g) \stackrel{\Delta}{\longrightarrow}}\end{array}$$ $$\begin{array}{l}{\text { (d) } \mathrm{NH}_{2} \mathrm{OH}(l)+\mathrm{O}_{2}(g) \longrightarrow} \\ {\text { (e) } \mathrm{Al}_{4} \mathrm{C}_{3}(s)+\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow}\end{array}$$
Step-by-Step Solution
Verified Answer
The short answer to the question is:
(a) $$\mathrm{NaOCH}_{3}(s) + \mathrm{H}_{2}\mathrm{O}(l) \longrightarrow \mathrm{NaOH}(aq) +\mathrm{CH}_{3}\mathrm{OH}(l)$$
(b) $$\mathrm{CuO}(s) + 2 \mathrm{HNO}_{3}(aq) \longrightarrow \mathrm{Cu(NO}_{3})_{2}(aq) + \mathrm{H}_{2}\mathrm{O}(l)$$
(c) $$\mathrm{WO}_{3}(s) + 3 \mathrm{H}_{2}(g) \stackrel{\Delta}{\longrightarrow} \mathrm{W}(s) + 3 \mathrm{H}_{2}\mathrm{O}(g)$$
(d) $$\mathrm{2NH}_{2}\mathrm{OH}(l) + \mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{H}_{2}\mathrm{O}(l) + \mathrm{N}_{2}(g)$$
(e) $$\mathrm{Al}_{4} \mathrm{C}_{3}(s) + 12 \mathrm{H}_{2}\mathrm{O}(l) \longrightarrow 4 \mathrm{Al(OH)}_{3}(s) + 3 \mathrm{CH}_{4}(g)$$
1Step 1: (a) Identifying Products and Balancing the Equation
(a) We have a reaction between sodium methoxide (NaOCH3) and water (H2O). This is a type of acid-base reaction, where the methoxide ion (OCH3⁻) will act as a base and water (H2O) as an acid. The products will be sodium hydroxide (NaOH) and methanol (CH3OH). The balanced equation is:
$$\mathrm{NaOCH}_{3}(s) + \mathrm{H}_{2}\mathrm{O}(l) \longrightarrow \mathrm{NaOH}(aq) +\mathrm{CH}_{3}\mathrm{OH}(l).$$
2Step 2: (b) Identifying Products and Balancing the Equation
(b) The reaction of copper(II) oxide (CuO) with nitric acid (HNO3) will produce copper(II) nitrate (Cu(NO3)2) and water (H2O) because it is an acid-base reaction. The balanced equation is:
$$\mathrm{CuO}(s) + 2 \mathrm{HNO}_{3}(aq) \longrightarrow \mathrm{Cu(NO}_{3})_{2}(aq) + \mathrm{H}_{2}\mathrm{O}(l).$$
3Step 3: (c) Identifying Products and Balancing the Equation
(c) Tungsten trioxide (WO3) reacting with hydrogen gas (H2) under heat (indicated by Δ) will produce tungsten metal (W) and water (H2O). This is a reduction reaction, as hydrogen reduces the tungsten oxide. The balanced equation is:
$$\mathrm{WO}_{3}(s) + 3 \mathrm{H}_{2}(g) \stackrel{\Delta}{\longrightarrow} \mathrm{W}(s) + 3 \mathrm{H}_{2}\mathrm{O}(g).$$
4Step 4: (d) Identifying Products and Balancing the Equation
(d) When hydroxylamine (NH2OH) reacts with oxygen gas (O2), it will produce water (H2O) and nitrogen gas (N2) as products. The balanced equation is:
$$\mathrm{2NH}_{2}\mathrm{OH}(l) + \mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{H}_{2}\mathrm{O}(l) + \mathrm{N}_{2}(g).$$
5Step 5: (e) Identifying Products and Balancing the Equation
(e) Aluminum carbide (Al4C3) reacting with water (H2O) will produce aluminum hydroxide (Al(OH)3) and methane gas (CH4) because it is a hydrolysis reaction. The balanced equation is:
$$\mathrm{Al}_{4} \mathrm{C}_{3}(s) + 12 \mathrm{H}_{2}\mathrm{O}(l) \longrightarrow 4 \mathrm{Al(OH)}_{3}(s) + 3 \mathrm{CH}_{4}(g).$$
Key Concepts
Acid-Base ReactionsReduction ReactionsHydrolysis ReactionsChemical Reactivity
Acid-Base Reactions
Acid-base reactions are a fundamental part of chemistry where an acid and a base react to form water and a salt. In the example given, sodium methoxide (\( \text{NaOCH}_3 \)) acts as the base, while water (\( \text{H}_2\text{O} \)) serves as the acid. This results in the formation of sodium hydroxide (\( \text{NaOH} \)), a base, and methanol (\( \text{CH}_3\text{OH} \)), an alcohol. This type of reaction is also known as a neutralization reaction.
- Acids are proton donors in such reactions.
- Bases are proton acceptors.
- Water, in many reactions, can act as either an acid or a base, depending on the circumstance.
Reduction Reactions
Reduction reactions involve the gain of electrons by a substance. In the case of the reaction between tungsten trioxide (\( \text{WO}_3 \)) and hydrogen gas (\( \text{H}_2 \)), tungsten is reduced to its metallic state, while hydrogen acts as the reducing agent by donating electrons.
- Reduction refers to the gain of electrons or decrease in oxidation state.
- This process often releases energy.
- Reduction reactions are crucial in processes like metallurgy to extract metals from their ores.
Hydrolysis Reactions
Hydrolysis reactions involve the chemical breakdown of a compound due to reaction with water. A classic example here is the reaction of aluminum carbide (\( \text{Al}_4\text{C}_3 \)), with water to produce aluminum hydroxide (\( \text{Al(OH)}_3 \)) and methane (\( \text{CH}_4 \)).
- Hydrolysis literally means "water splitting".
- Water plays a key role, acting as a reactant rather than a catalyst.
- These reactions are vital for biological processes, like digestion and metabolism.
Chemical Reactivity
Chemical reactivity refers to the propensity of a substance to engage in a chemical reaction. It indicates how easily and quickly a substance can transform into a new compound. Several factors affect chemical reactivity:
- Element type and position in the periodic table can denote reactivity levels.
- Temperature and pressure conditions influence the speed and extent of reactions.
- Catalysts and inhibitors can significantly alter the rate of a reaction.
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