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(a) Determine the chemical formula of the product formed when the metallic element calcium combines with the nonmetallic element oxygen, \(\mathrm{O}_{2}\). 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, \(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}(I)\), in air.

Short Answer

Expert verified
(a) The chemical formula of the product formed when calcium combines with oxygen is calcium oxide, \(\mathrm{CaO}\). The balanced chemical equation for this reaction is: \[ \mathrm{2 Ca}(s) + \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{CaO}(s) \] (b) When a compound containing carbon (C), hydrogen (H), and oxygen (O) is completely combusted in air, the products are carbon dioxide (\(\mathrm{CO}_{2}\)) and water (\(\mathrm{H}_{2}\mathrm{O}\)). The balanced chemical equation for the combustion of acetone, \(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}(I)\), in air is: \[ \mathrm{C}_{3}\mathrm{H}_{6}\mathrm{O}(I) + 4\,\mathrm{O}_{2}(g) \rightarrow 3\,\mathrm{CO}_{2}(g) + 3\,\mathrm{H}_{2}\mathrm{O}(g) \]

Step by step solution

01

(a) Determine the chemical formula

: Calcium (Ca) is in group 2 of the periodic table and has a valency of 2. Oxygen (O) is in group 16 and has a valency of 2 as well (since it needs 2 electrons to fill its outer shell). When calcium combines with oxygen, the resulting compound is calcium oxide, which has the chemical formula \(\mathrm{CaO}\). This is because each calcium atom donates 2 electrons, and each oxygen atom accepts 2 electrons, forming an ionic bond.
02

(a) Write the balanced chemical equation

: The balanced chemical equation for the reaction between calcium and oxygen is: \[ \mathrm{2 Ca}(s) + \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{CaO}(s) \] This equation is balanced because there are the same number of each atom on both sides of the equation: 2 calcium atoms and 2 oxygen atoms.
03

(b) Determine the products of combustion

: For a compound containing carbon, hydrogen, and oxygen, when it is completely combusted in air, the products are carbon dioxide (\(\mathrm{CO}_{2}\)) and water (\(\mathrm{H}_{2}\mathrm{O}\)). This is because all the carbon atoms combine with oxygen to form carbon dioxide and all the hydrogen atoms combine with oxygen to form water.
04

(b) Write the balanced chemical equation for the combustion of acetone

: Acetone, \(\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}(I)\), has the chemical formula \(\mathrm{C}_{3}\mathrm{H}_{6}\mathrm{O}\). When it is combusted in air (oxygen, \(\mathrm{O}_{2}\)), the products are carbon dioxide and water. The balanced chemical equation for the combustion of acetone is: \[ \mathrm{C}_{3}\mathrm{H}_{6}\mathrm{O}(I) + 4\,\mathrm{O}_{2}(g) \rightarrow 3\,\mathrm{CO}_{2}(g) + 3\,\mathrm{H}_{2}\mathrm{O}(g) \] This equation is balanced because there are the same number of each atom on both sides of the equation: 3 carbon atoms, 6 hydrogen atoms, and 6 oxygen atoms.

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Key Concepts

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

Chemical Formulas
Chemical formulas represent the elements in a compound and show the number of each type of atom present. The process of determining a chemical formula involves understanding the valency or combining power of the elements involved.
For instance, calcium (Ca) is a metal in Group 2 of the periodic table, which means it can lose 2 electrons.
Oxygen (O), on the other hand, is a nonmetal in Group 16, meaning it needs 2 electrons to fill its outer shell.
When these two elements react, calcium donates its 2 electrons to oxygen. As a result, calcium oxide with the formula \(\mathrm{CaO}\) is formed.
  • The number and type of atoms involved form the basic skeleton of the chemical structure.
  • These formulas allow scientists to predict the results of chemical reactions.
By understanding the chemical formula, you're able to decipher the composition and proportions of the chemicals involved.
Balancing Equations
Balancing chemical equations is an essential skill in chemistry. It ensures that the law of conservation of mass is adhered to, which states that matter cannot be created or destroyed. This means the atoms on the reactant side must equal the atoms on the product side of the equation.
To balance an equation, you adjust the coefficients (numerical values before a molecule) to ensure that the number of atoms for each element is equal on both sides.
Take the reaction between calcium and oxygen: \[ \mathrm{2 Ca(s) + O_{2}(g) \rightarrow 2 CaO(s)} \]
Here, both sides have:
  • 2 calcium atoms
  • 2 oxygen atoms
  • The equation is balanced, providing a clear representation of what happens during the reaction.
Balancing chemical equations requires a bit of practice. Once mastered, it becomes an intuitive step in understanding chemical reactions.
Combustion Reactions
Combustion reactions are a type of reaction where a substance combines with oxygen to produce heat and light.
These reactions generally involve hydrocarbons and oxygen, resulting in carbon dioxide and water.
A common example of a combustion reaction is the burning of acetone in air. For acetone, which has a chemical formula \(\mathrm{C_{3}H_{6}O}\), the balanced combustion reaction is: \[ \mathrm{C_{3}H_{6}O(l) + 4 O_{2}(g) \rightarrow 3 CO_{2}(g) + 3 H_{2}O(g)} \]
This equation shows:
  • 3 carbon atoms convert to 3 carbon dioxide molecules.
  • 6 hydrogen atoms convert to 3 water molecules.
  • Oxygen atoms are balanced across both sides.
Understanding combustion reactions is crucial for fields like energy production and environmental science. They illustrate how energy is released from chemical compounds and highlight the importance of oxygen in these processes.

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Most popular questions from this chapter

Determine the empirical and molecular formulas of each of the following substances: (a) Styrene, a compound substance used to make Styrofoam \(^{8}\) cups and insulation, contains \(92.3 \% \mathrm{C}\) and \(7.7 \%\) H by mass and has a molar mass of \(104 \mathrm{~g} / \mathrm{mol}\). (b) Caffeine, a stimulant found in coffee, contains \(49.5 \%\) \(\mathrm{C}, 5.15 \% \mathrm{H}, 28.9 \% \mathrm{~N}\), and \(16.5 \% \mathrm{O}\) by mass and has a molar mass of \(195 \mathrm{~g} / \mathrm{mol}\). (c) Monosodium glutamate (MSG), a flavor enhancer in certain foods, contains \(35.51 \%\) C, \(4.77 \%\) H, \(37.85 \%\) O, \(8.29 \% \mathrm{~N}\), and \(13.60 \% \mathrm{Na}\), and has a molar mass of \(169 \mathrm{~g} / \mathrm{mol}\).

(a) What is the difference between adding a subscript 2 to the end of the formula for CO to give \(\mathrm{CO}_{2}\) and adding a coefficient in front of the formula to give \(2 \mathrm{CO}\) ? (b) Is the following chemical equation, as written, consistent with the law of conservation of mass? \(3 \mathrm{Mg}(\mathrm{OH})_{2}(s)+2 \mathrm{H}_{3} \mathrm{PO}_{4}(a q) \longrightarrow \mathrm{Mg}_{3}\left(\mathrm{PO}_{4}\right)_{2}(5)+6 \mathrm{H}_{2} \mathrm{O}(l)\) Why or why not?

A sample of the male sex hormone testosterone, \(\mathrm{C}_{19} \mathrm{H}_{29} \mathrm{O}_{2}\), contains \(7.08 \times 10^{20}\) 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?

What parts of balanced chemical equations give information about the relative numbers of moles of reactants and products involved in a reaction?

(a) Diamond is a natural form of pure carbon. How many moles of carbon are in a \(1.25\) -carat diamond (1 carat \(=0.200 \mathrm{~g}\) )? How many atoms are in this diamond? (b) The molecular formula of acetylsalicylic acid (aspirin), one of the most common pain relievers, is \(\mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4}\). How many moles of \(\mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4}\) are in a \(0.500-\mathrm{g}\) tablet of aspirin? How many molecules of \(\mathrm{C}_{9} \mathrm{H}_{6} \mathrm{O}_{4}\) are in this tablet?

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