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A \(100.00 \mathrm{g}\) sample of white powder \(\mathrm{A}\) is heated to \(550^{\circ} \mathrm{C}\) At that temperature the powder decomposes, giving off colorless gas \(\mathrm{B}\), which is denser than air and is neither flammable nor does it support combustion. The products also include \(56 \mathrm{g}\) of a second white powder \(\mathrm{C}\). When gas B is bubbled through a solution of calcium hydroxide, substance A reforms. What are the identities of substances \(A, B,\) and \(C ?\)

Short Answer

Expert verified
Answer: The likely identities of the substances are: - Substance A: Calcium Carbonate (CaCO3) - Substance B: Carbon Dioxide (CO2) - Substance C: Calcium Oxide (CaO)

Step by step solution

01

Analyze mass changes and conservation of mass

The initial mass of substance A is 100 g, and after the reaction, we have 56 g of substance C. This means that 100 - 56 = 44 g of the substance change must be accounted for by the formation of gas B. The mass before and after the reaction must be equal due to the conservation of mass principle.
02

Make an educated guess about the substances

Based on the description given, we can make a few assumptions about the substances. Since substance B forms when heated and decomposes back to substance A upon reacting with calcium hydroxide, we can guess that substance A might be a metal carbonate. Due to the reversal of the reaction when B reacts with calcium hydroxide, we can deduce that B might be carbon dioxide. Substance C, a white powder, might be a metal oxide.
03

Determine the likely identity of substance A

Assuming that A is a metal carbonate and C is a metal oxide, we know that the general reactions can be written as: \[ MCO_3 \rightarrow MO + CO_2 \] From our mass analysis, we know that the mass change from A to C is 44 g. Since the atomic mass of carbon dioxide (CO2) is 12 (C) + 16 (O) * 2 = 44 g/mol, we can assume that 1 mol of CO2 has been formed. Therefore, the mass of substance A that formed substance C must be 56 g. From the periodic table and given information, we can deduce that a likely candidate for substance A is calcium carbonate (CaCO3, with a molar mass of 100 g). Calcium carbonate decomposes into calcium oxide (CaO, with a molar mass of 56 g) and carbon dioxide (CO2, with a molar mass of 44 g).
04

Confirm the reaction and identities

With our assumption that substance A is calcium carbonate, the decomposition reaction can be written as: \[ CaCO_3 (s) \rightarrow CaO (s) + CO_2 (g) \] Once we have these identities, we can confirm that when substance B, carbon dioxide, is bubbled through a solution of calcium hydroxide, the reverse reaction occurs, and substance A reforms: \[ CO_2 (g) + Ca(OH)_2 (aq) \rightarrow CaCO_3 (s) + H_2O (l) \] This is a known and well-established reaction. Therefore, based on the given information and analysis, the likely identities of substances A, B, and C are: - Substance A: Calcium Carbonate (CaCO3) - Substance B: Carbon Dioxide (CO2) - Substance C: Calcium Oxide (CaO)

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Key Concepts

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

Conservation of Mass
When we talk about the decomposition of calcium carbonate, the law of conservation of mass is central to understanding this process. The principle of conservation of mass states that mass is neither created nor destroyed in a chemical reaction. Instead, it is merely rearranged. In the context of the decomposition of calcium carbonate, the mass of the original compound (calcium carbonate) should equal the sum of the masses of the products (calcium oxide and carbon dioxide).
For the given exercise, the initial mass was 100.00 grams, and after the decomposition, we are left with 56 grams of calcium oxide and 44 grams of carbon dioxide—adding up to the initial mass. This fulfills the law of conservation of mass, confirming that no mass has been lost; it has just been transformed into different substances.
Metal Carbonates
Metal carbonates, like calcium carbonate (CaCO3), are compounds composed of a metal cation and the carbonate anion (CO32−). One of the key characteristics is that they often decompose upon heating to yield a metal oxide and carbon dioxide gas. This decomposition reaction is commonly observed in carbonates of metals positioned in the second group of the periodic table.
In this scenario, when the unknown white powder A is heated, it decomposes to form gas B and another white powder C. Upon analyzing the properties of gas B and our understanding of metal carbonates, we can deduce that the decomposition of a metal carbonate is indeed taking place.
Decomposition Reactions
Decomposition reactions are a type of chemical reaction where a single compound breaks down into two or more products. This kind of reaction is typically endothermic, requiring heat to proceed. In our exercise, when the white powder A is heated, it breaks down into gas B and white powder C. The description of these byproducts corresponds with a typical decomposition reaction—an initial compound breaking down into a simpler substance and a gas.
Understanding decomposition allows students to predict the possible outcomes of heating a compound, especially if it is a metal carbonate, which predictably decomposes into a metal oxide and carbon dioxide.
Stoichiometry
Stoichiometry is the calculation of reactants and products in chemical reactions. It is a crucial concept in chemistry that lets us predict the amount of products formed from a given amount of reactants. In the context of this exercise, stoichiometry helps to confirm that the mass change corresponds to the expected products of the decomposition reaction of calcium carbonate.
Using stoichiometry, we can see that the molar mass of calcium carbonate is 100 g/mol which decomposes to give calcium oxide (molar mass 56 g/mol) and carbon dioxide (molar mass 44 g/mol). The calculation showed that 44 g of carbon dioxide were formed, which supports the reaction equation given. Through stoichiometry, we can prove that the substances involved in the reaction follow the law of conservation of mass and align with our understanding of the decomposition of metal carbonates and the stoichiometric ratios defined by the balanced chemical equation.

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Most popular questions from this chapter

Uranium oxides used in the preparation of fuel for nuclear reactors are separated from other metals in minerals by converting the uranium to \(\mathrm{UO}_{x}\left(\mathrm{NO}_{3}\right)_{y}\left(\mathrm{H}_{2} \mathrm{O}\right)_{z},\) where uranium has a positive charge ranging from \(3+\) to \(6+\) a. Roasting UO \(_{x}\left(\mathrm{NO}_{3}\right)_{y}\left(\mathrm{H}_{2} \mathrm{O}\right)_{z}\) at \(400^{\circ} \mathrm{C}\) leads to loss of itrogen oxides, leaving behind a product with the formula \(\mathrm{U}_{a} \mathrm{O}_{b}\) that is \(83.22 \% \mathrm{U}\) by mass. What are the values of \(a\) and \(b ?\) What is the charge on \(\mathrm{U}\) in \(\mathrm{U}_{a} \mathrm{O}_{b} ?\)b. Higher temperatures produce a different uranium oxide, \(\mathrm{U}_{c} \mathrm{O}_{d},\) with a higher uranium content, \(84.8 \% \mathrm{U} .\) What are the values of \(c\) and \(d ?\) What is the charge on \(\mathrm{U}\) in \(\mathrm{U}_{a} \mathrm{O}_{b} ?\) c. The values of \(x, y,\) and \(z\) in \(\mathrm{UO}_{x}\left(\mathrm{NO}_{3}\right)_{y}\left(\mathrm{H}_{2} \mathrm{O}\right)_{z}\) are found by gently heating the compound to remove all of the water. In a laboratory experiment, \(1.328 \mathrm{g}\) of \(\mathrm{UO}_{x}\left(\mathrm{NO}_{3}\right)_{y}\left(\mathrm{H}_{2} \mathrm{O}\right)_{z}\) produced \(1.042 \mathrm{g}\) of \(\mathrm{UO}_{x}\left(\mathrm{NO}_{3}\right)_{y}\) Continued heating generated \(0.742 \mathrm{g}\) of \(\mathrm{U}_{n} \mathrm{O}_{m} .\) Using the information in parts (a) and (b), calculate \(x, y,\) and \(z\).

The oxides of nitrogen are biologically reactive substances now known to be formed endogenously in the human lung: \(\mathrm{NO}\) is a powerful agent for dilating blood vessels; \(\mathrm{N}_{2} \mathrm{O}\) is the anesthetic known as laughing gas; \(\mathrm{NO}_{2}\) has an acrid odor and is corrosive to lung tissue. Balance the following reactions for the formation of nitrogen oxides: a. \(\mathrm{N}_{2}(g)+\mathrm{O}_{2}(g) \rightarrow \mathrm{NO}(g)\). b. \(\mathrm{NO}(g)+\mathrm{O}_{2}(g) \rightarrow \mathrm{NO}_{2}(g)\). c. \(\mathrm{NO}(g)+\mathrm{NO}_{3}(g) \rightarrow \mathrm{NO}_{2}(g)\). d. \(\mathrm{N}_{2}(g)+\mathrm{O}_{2}(g) \rightarrow \mathrm{N}_{2} \mathrm{O}(g)\).

Of the nitrogen oxides \(-\mathrm{N}_{2} \mathrm{O}, \mathrm{NO}, \mathrm{N}_{2} \mathrm{O}_{3}, \mathrm{N}_{2} \mathrm{O}_{2}, \mathrm{NO}_{2},\) and \(\mathrm{N}_{2} \mathrm{O}_{4}-\) which are more than \(50 \%\) oxygen by mass? Which, if any, have the same empirical formula?

The uranium minerals found in nature must be refined and enriched in \(^{235} \mathrm{U}\) before the uranium can be used as a fuel in nuclear reactors. One procedure for enriching uranium relies on the reaction of \(\mathrm{UO}_{2}\) with HF to form UF \(_{4}\), which is then converted into UF \(_{6}\) by reaction with fluorine: $$\begin{array}{c}\mathrm{UO}_{2}(g)+4 \mathrm{HF}(a q) \rightarrow \mathrm{UF}_{4}(g)+2 \mathrm{H}_{2} \mathrm{O}(\ell) \\\\\mathrm{UF}_{4}(g)+\mathrm{F}_{2}(g) \rightarrow \mathrm{UF}_{6}(g) \end{array}$$.a. How many kilograms of HF are needed to completely react with \(5.00 \mathrm{kg}\) of \(\mathrm{UO}_{2} ?\) b. How much UF \(_{6}\) can be produced from \(850.0 \mathrm{g}\) of \(\mathrm{UO}_{2} ?\)

With respect to the previous question, one way to reduce the formation of acid rain involves trapping the \(\mathrm{SO}_{2}\) by passing smokestack gases through a spray of calcium oxide and \(\mathrm{O}_{2} .\) The product of this reaction is calcium sulfate. a. Write a balanced chemical equation describing this reaction. b. How many metric tons of calcium sulfate would be produced from each ton of \(\mathrm{SO}_{2}\) that is trapped?

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