Chapter 5: Problem 56
Calculate the equivalent weights of the following substances as acids or bases: (a) \(\mathrm{HCl},\) (b) \(\mathrm{Ba}(\mathrm{OH})_{2},\) (c) \(\mathrm{KH}\left(\mathrm{IO}_{3}\right)_{2}\) (d) \(\mathrm{H}_{2} \mathrm{SO}_{3},\) (e) \(\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\) (acetic acid).
Short Answer
Expert verified
Equivalents: HCl = 36.5 g/equiv, Ba(OH)鈧 = 85.65 g/equiv, KH(IO鈧)鈧 = 389.92 g/equiv, H鈧係O鈧 = 41.05 g/equiv, HC鈧侶鈧僌鈧 = 60.05 g/equiv.
Step by step solution
01
Understand Equivalent Weight
Equivalent weight is the mass of a substance that will combine with or displace 1 mole of hydrogen atoms in a chemical reaction. It can be calculated using the formula: Equivalent Weight = Molecular Weight / n, where n is the number of H extsuperscript{+} (for acids) or OH extsuperscript{-} (for bases) ions the compound can release or combine with.
02
Calculate Equivalent Weight for HCl
HCl is a strong acid that releases one mole of H extsuperscript{+} ion. The molecular weight of HCl is approximately 36.5 g/mol. Therefore, its equivalent weight is calculated as follows: \[ \text{Equivalent Weight of HCl} = \frac{36.5}{1} = 36.5 \, \text{g/equiv} \]
03
Calculate Equivalent Weight for Ba(OH)鈧
Ba(OH)鈧 is a base that can release two moles of OH extsuperscript{-} ions. The molecular weight of Ba(OH)鈧 is approximately 171.3 g/mol. Its equivalent weight is calculated by dividing the molecular weight by the number of OH extsuperscript{-} ions: \[ \text{Equivalent Weight of Ba(OH)}_2 = \frac{171.3}{2} = 85.65 \, \text{g/equiv} \]
04
Calculate Equivalent Weight for KH(IO鈧)鈧
KH(IO鈧)鈧 can be considered as releasing one mole of H extsuperscript{+} per molecule as an acid. The molecular weight of KH(IO鈧)鈧 is approximately 389.92 g/mol. Thus, its equivalent weight is: \[ \text{Equivalent Weight of KH(IO}_3)_2 = \frac{389.92}{1} = 389.92 \, \text{g/equiv} \]
05
Calculate Equivalent Weight for H鈧係O鈧
H鈧係O鈧 is a diprotic acid, which means it can release two moles of H extsuperscript{+} ions. The molecular weight of H鈧係O鈧 is approximately 82.1 g/mol. Therefore, the equivalent weight is: \[ \text{Equivalent Weight of H}_2\text{SO}_3 = \frac{82.1}{2} = 41.05 \, \text{g/equiv} \]
06
Calculate Equivalent Weight for HC鈧侶鈧僌鈧 (Acetic Acid)
Acetic acid is a monoprotic acid, meaning it releases one mole of H extsuperscript{+} ion. The molecular weight of HC鈧侶鈧僌鈧 is approximately 60.05 g/mol. Its equivalent weight is: \[ \text{Equivalent Weight of HC}_2\text{H}_3\text{O}_2 = \frac{60.05}{1} = 60.05 \, \text{g/equiv} \]
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Molecular Weight
Understanding molecular weight is important in chemistry as it refers to the mass of a molecule. It's the sum of the atomic weights of all the atoms in a molecular formula. To find the molecular weight, you add together the atomic weights of each element based on the number of atoms in the molecule. This value is usually expressed in grams per mole (g/mol). For instance, the molecular weight of HCl is 36.5 g/mol, determined by adding the atomic weights of hydrogen (1) and chlorine (35.5). Similarly, for Ba(OH)鈧, we add the weight of barium, oxygen, and hydrogen to find 171.3 g/mol. Learning how to calculate molecular weight is the first step in many chemistry calculations, including those involving equivalent weight.
Acid-Base Reactions
Acid-base reactions are fundamental in chemistry, involving the transfer of protons (H鈦 ions). An acid is a substance that can donate a proton, while a base can accept a proton. These reactions are key in understanding equivalent weight, as they allow us to determine how many moles of protons or hydroxide ions a compound can release or accept. For example, HCl, being a strong acid, releases one H鈦 ion. The reaction proceeds as follows:
- When HCl is dissolved in water, it breaks down into H鈦 and Cl鈦 ions.
- Ba(OH)鈧, on the other hand, is a strong base that can release OH鈦 ions. In water, it dissociates into Ba虏鈦 and 2 OH鈦 ions. These principles help us understand how to calculate the equivalent weight, which is essential for reacting the acids or bases with other substances in stoichiometrically equivalent quantities.
Chemical Equations
Chemical equations are symbolic representations of chemical reactions. They show the reactants and products, along with their proportions, as they transform during the reaction. Balancing chemical equations is crucial because it illustrates the conservation of mass principle鈥攎atter cannot be created or destroyed. This concept applies to our exercise on equivalent weights in acid-base reactions.
- When writing equations for these reactions, each side must have the same number of atoms for each element.
- For example, the reaction of acetic acid (HC鈧侶鈧僌鈧) with a base can be represented as HC鈧侶鈧僌鈧 + OH鈦 鈫 H鈧侽 + C鈧侶鈧僌鈧傗伝. These balanced equations help ensure calculations for equivalent weights are accurate, as they rely on the stoichiometric relationships outlined in the equation.
Analytical Chemistry
In analytical chemistry, precise methods are used to determine the composition and properties of substances. Equivalent weight plays an important role in analytical techniques like titration, where an acid's or a base's concentration is determined by observing the amount required to complete a reaction with a known volume of a standard solution.
- For acids, it's crucial to know their equivalent weight to calculate how much of a standard base is necessary to neutralize them.
- By calculating the equivalent weight, scientists can accurately gauge the purity and concentration of chemical substances.
- For titrations, knowing the exact equivalent weight allows chemists to determine how much of a titrant should be added to reach the endpoint precisely. This discipline emphasizes the importance of accurate, quantitative measurement in understanding chemical behavior and reactions.