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(a) A strontium hydroxide solution is prepared by dissolving 12.50 g of \(\operatorname{Sr}(\mathrm{OH})_{2}\) in water to make 50.00 \(\mathrm{mL}\) of solution. What is the molarity of this solution? (b) Next the strontium hydroxide solution prepared in part (a) is used to titrate a nitric acid solution of unknown concentration. Write a balanced chemical equation to represent the reaction between strontium hydroxide and nitric acid solutions. (c) If 23.9 mL of the strontium hydroxide solution was needed to neutralize a 37.5 mL aliquot of the nitric acid solution, what is the concentration (molarity) of the acid?

Short Answer

Expert verified
(a) The molarity of the strontium hydroxide solution is 2.054 M. (b) The balanced chemical equation for the reaction between strontium hydroxide and nitric acid solutions is: Sr(OH)\(_2\) + 2HNO\(_3\) → Sr(NO\(_3\))\(_2\) + 2H\(_2\)O. (c) The concentration (molarity) of the nitric acid solution is 2.4856 M.

Step by step solution

01

Calculate the molarity of strontium hydroxide solution

To calculate the molarity of the solution, we first need to determine the moles of the solute (Sr(OH)\(_2\)). Then divide the moles by the volume of the solution. 1. Calculate the moles of Sr(OH)\(_2\): \[Sr(OH)_2 = 1 \times (87.62) + 2 \times (15.999 + 1.008)\] \[Sr(OH)_2 = 87.62 + 2 \times (16.997)\] \[Sr(OH)_2 = 121.62\] moles = grams / molar mass = 12.50 g / 121.62 g/mol = 0.1027 mol 2. Molarity of strontium hydroxide solution: Molarity (M) = moles / volume in L M = 0.1027 mol / 50.00 mL * \(\frac{1L}{1000mL}\) = 2.054 M
02

Write the balanced chemical equation

To write the balanced chemical equation for the reaction between strontium hydroxide (Sr(OH)\(_2\)) and nitric acid (HNO\(_3\)), we must ensure that the number of atoms for each element on the reactants side equals the number of atoms for each element on the products side. Chemical Equation: Sr(OH)\(_2\) + 2HNO\(_3\) → Sr(NO\(_3\))\(_2\) + 2H\(_2\)O
03

Calculate the concentration of nitric acid

We will now use the volume of the strontium hydroxide solution needed to neutralize a 37.5 mL aliquot of the nitric acid solution to determine the concentration (molarity) of the nitric acid. For this, the balanced chemical equation (from Step 2) and the stoichiometry will be used. From the balanced equation, 1 mole of Sr(OH)\(_2\) reacts with 2 moles of HNO\(_3\). 1. Moles of Sr(OH)\(_2\) in the 23.9 mL solution: moles = M * volume in L, moles = 2.054 M * 23.9 mL * \(\frac{1L}{1000mL}\)= 0.0466 mol 2. Calculate moles of HNO\(_3\): 2 moles of HNO\(_3\) react with 1 mole of Sr(OH)\(_2\): moles of HNO\(_3\) = 2 * moles of Sr(OH)\(_2\) moles of HNO\(_3\) = 2 * 0.0466 mol moles of HNO\(_3\) = 0.0932 mol 3. Molarity of nitric acid solution: Molarity (M) = moles / volume in L, M = 0.0932 mol / 37.5 mL * \(\frac{1L}{1000mL}\) = 2.4856 M

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Key Concepts

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

Strontium Hydroxide
Strontium hydroxide, represented chemically as \( \text{Sr(OH)}_2 \), is an important compound often used in chemistry experiments like titrations. This chemical is typically available in a solid form and is highly soluble in water, allowing it to be easily prepared into solutions of known concentration.

In the exercise discussed, strontium hydroxide is dissolved in water to create a molar solution. Molarity, which is the number of moles of solute per liter of solution, is a crucial concept when dealing with solutions. For strontium hydroxide, calculating molarity involves first determining the moles of \( \text{Sr(OH)}_2 \) using its molar mass, followed by dividing by the total volume of the solution in liters. This enables scientists to know the exact concentration of the solution, an essential step before performing a titration.
Titration
Titration is a laboratory technique used to determine the unknown concentration of a solution by reacting it with another solution of known concentration. It involves the gradual addition of one solution to the other until the reaction reaches completion, which is typically indicated by a color change or an endpoint detection method.

In our exercise, titration is used to find the concentration of nitric acid using a strontium hydroxide solution. Once the Sr(OH)\(_2\) solution's molarity is known, you can precisely measure how much of this solution is needed to neutralize the acid. The volume of strontium hydroxide used can then help in calculating the molarity of nitric acid. This method provides a practical way to pin down concentrations in solutions that are otherwise challenging to measure directly.
Chemical Reactions
Chemical reactions involve the transformation of substances through breaking bonds and forming new ones, resulting in new products. In balanced chemical equations, the number of atoms for each element in the reactants should equal the number in the products, ensuring the law of conservation of mass is met.

For the reaction between strontium hydroxide and nitric acid, the balanced chemical equation is: \( \text{Sr(OH)}_2 \) + 2\( \text{HNO}_3 \) → \( \text{Sr(NO}_3)_2 \) + 2\( \text{H}_2\text{O} \). This equation indicates that strontium hydroxide reacts with nitric acid in a 1:2 ratio. Each molecule of Sr(OH)\(_2\) reacts with two molecules of HNO\(_3\) to produce one molecule of strontium nitrate and two molecules of water. This stoichiometric relationship is vital for calculating the reactants' and products' quantities involved in the reaction.
Stoichiometry
Stoichiometry is a branch of chemistry involving the calculation of reactants and products in chemical reactions. It is based on the balanced chemical equations and involves using the molar relationships between different substances in the reaction to perform quantitative analyses.

In our exercise, stoichiometry helps relate the moles of strontium hydroxide to the moles of nitric acid during the titration. Since one mole of \( \text{Sr(OH)}_2 \) reacts with two moles of \( \text{HNO}_3 \), you can find how many moles of the acid were present, given the moles of base used. By knowing how many moles of nitric acid were neutralized, you can calculate the molarity of the acid when its volume is known. This detailed stoichiometric calculation is crucial for analytically determining the concentration of unknown solutions, which is the essence of many titration processes in chemistry labs.

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Most popular questions from this chapter

Formic acid, HCOOH, is a weak electrolyte. What solutes are present in an aqueous solution of this compound? Write the chemical equation for the ionization of HCOOH.

A fertilizer railroad car carrying \(34,300\) gallons of commercial aqueous ammonia \((30 \%\) ammonia by mass) tips over and spills. The density of the aqueous ammonia solution is 0.88 \(\mathrm{g} / \mathrm{cm}^{3} .\) What mass of citric acid, \(\mathrm{C}(\mathrm{OH})(\mathrm{COOH})\left(\mathrm{CH}_{2} \mathrm{COOH}\right)_{2},\) (which contains three acidic protons) is required to neutralize the spill? 1 gallon \(=3.785 \mathrm{L} .\)

(a) By titration, 15.0 \(\mathrm{mL}\) of 0.1008 \(\mathrm{M}\) sodium hydroxide is needed to neutralize a \(0.2053-\mathrm{g}\) sample of a weak acid. What is the molar mass of the acid if it is monoprotic? (b) An elemental analysis of the acid indicates that it is composed of \(5.89 \% \mathrm{H}, 70.6 \% \mathrm{C},\) and 23.5\(\% \mathrm{O}\) by mass. What is composed of \(5.89 \% \mathrm{H}, 70.6 \% \mathrm{C},\) and 23.5\(\% \mathrm{O}\) by mass. What is its molecular formula?

Which element is oxidized, and which is reduced in the following reactions? \begin{equation} \begin{array}{l}{\text { (a) } \mathrm{N}_{2}(g)+3 \mathrm{H}_{2}(g) \longrightarrow 2 \mathrm{NH}_{3}(g)\longrightarrow} \\ {\text { (b) } 3 \mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{2}(a q)+2 \mathrm{Al}(s) \longrightarrow} \\\\\quad \quad\quad\quad\quad\quad\quad\quad\quad\quad\quad{3 \mathrm{Fe}(s)+2 \mathrm{Al}\left(\mathrm{NO}_{3}\right)_{3}(a q)}\\\\{\text { (c) } \mathrm{Cl}_{2}(a q)+2 \operatorname{Nal}(a q) \longrightarrow \mathrm{I}_{2}(a q)+2 \mathrm{NaCl}(a q)} \\ {\text { (d) } \mathrm{PbS}(s)+4 \mathrm{H}_{2} \mathrm{O}_{2}(a q) \longrightarrow \mathrm{PbSO}_{4}(s)+4 \mathrm{H}_{2} \mathrm{O}(l)}\end{array} \end{equation}

Consider the following reagents: zinc, copper, mercury (density 13.6 \(\mathrm{g} / \mathrm{mL}\) , silver nitrate solution, nitric acid solution. (a) Given a 500 -mL Erlenmeyer flask and a balloon, can you combine two or more of the foregoing reagents to initiate a chemical reaction that will inflate the balloon? Write a balanced chemical equation to represent this process. What is the identity of the substance that inflates the balloon? (b) What is the theoretical yield of the substance that fills the balloon? (c) Can you combine two or more of the foregoing reagents to initiate a chemical reaction that will produce metallic silver? Write a balanced chemical equation to represent this process. What ions are left behind in solution? (d) What is the theoretical yield of silver?

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