Urea (CH4N2O) is a common fertilizer that is synthesized by the reaction of ammonia (NH3) with carbon dioxide: 2 NH3(aq) + CO2(aq) → CH4N2O(aq) + H2O(l) In an industrial synthesis of urea, a chemist combines 136.4 kg of ammonia with 211.4 kg of carbon dioxide and obtains 168.4 kg of urea. Determine the limiting reactant, theoretical yield of urea, and percent yield for the reaction.
Ch.4 - Chemical Quantities & Aqueous Reactions
Chapter 4, Problem 53a,b
Calculate the molarity of each solution.
a. 3.25 mol of LiCl in 2.78 L solution
b. 28.33 g C6H12O6 in 1.28 L of solution

1
Identify the formula for molarity: \( M = \frac{\text{moles of solute}}{\text{liters of solution}} \).
Determine the number of moles of solute, which is given as 3.25 mol of LiCl.
Determine the volume of the solution in liters, which is given as 2.78 L.
Substitute the values into the molarity formula: \( M = \frac{3.25 \text{ mol}}{2.78 \text{ L}} \).
Simplify the expression to find the molarity of the solution.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Molarity
Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is expressed in units of moles per liter (mol/L). Molarity is crucial for understanding how concentrated a solution is and is commonly used in chemistry to prepare solutions and perform stoichiometric calculations.
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Moles
A mole is a fundamental unit in chemistry that quantifies the amount of substance. One mole corresponds to approximately 6.022 x 10²³ entities, such as atoms or molecules. Understanding moles is essential for converting between mass and number of particles, which is necessary for calculating molarity.
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Volume of Solution
The volume of a solution is the total space that the solution occupies, typically measured in liters (L) or milliliters (mL). In molarity calculations, the volume of the solution is critical as it serves as the denominator in the molarity formula, directly affecting the concentration of the solute in the solution.
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