Commercial concentrated aqueous ammonia is 28% NH 3 by mass and has a density of 0.90 g/mL. What is the molarity of this solution?

Step 1: Understand the problem. We are asked to find the molarity of a solution. Molarity (M) is defined as the number of moles of solute per liter of solution. In this case, the solute is NH_{3} (ammonia) and the solution is the mixture of NH_{3} and water.. Step 2: Calculate the mass of NH_{3} in 1 liter of solution. Since the density of the solution is 0.90 g/mL, the mass of 1 liter (or 1000 mL) of solution is 0.90 g/mL * 1000 mL = 900 g. Since the solution is 28% NH_{3} by mass, the mass of NH_{3} in this 1 liter of solution is 28% * 900 g = 0.28 * 900 g.. Step 3: Convert the mass of NH_{3} to moles. The molar mass of NH_{3} is approximately 17.03 g/mol. So, the number of moles of NH_{3} is the mass of NH_{3} divided by the molar mass of NH_{3}.. Step 4: Calculate the molarity. The molarity (M) is the number of moles of solute (NH_{3}) per liter of solution. Since we have calculated the number of moles of NH_{3} in 1 liter of solution in the previous step, this number is the molarity of the solution.. Step 5: Check your answer. The molarity should be a positive number and have the unit of moles per liter (M). If your answer has the correct unit and is a reasonable number, it is likely to be correct.

Commercial concentrated aqueous ammonia is 28% NH3 by mass and has a density of 0.90 g/mL. What is the molarity of this solution?

Step 1: Understand the problem. We are asked to find the molarity of a solution. Molarity (M) is defined as the number of moles of solute per liter of solution. In this case, the solute is NH_{3} (ammonia) and the solution is the mixture of NH_{3} and water. Step 2: Calculate the mass of NH_{3} in 1 liter of solution. Since the density of the solution is 0.90 g/mL, the mass of 1 liter (or 1000 mL) of solution is 0.90 g/mL * 1000 mL = 900 g. Since the solution is 28% NH_{3} by mass, the mass of NH_{3} in this 1 liter of solution is 28% * 900 g = 0.28 * 900 g. Step 3: Convert the mass of NH_{3} to moles. The molar mass of NH_{3} is approximately 17.03 g/mol. So, the number of moles of NH_{3} is the mass of NH_{3} divided by the molar mass of NH_{3}. Step 4: Calculate the molarity. The molarity (M) is the number of moles of solute (NH_{3}) per liter of solution. Since we have calculated the number of moles of NH_{3} in 1 liter of solution in the previous step, this number is the molarity of the solution. Step 5: Check your answer. The molarity should be a positive number and have the unit of moles per liter (M). If your answer has the correct unit and is a reasonable number, it is likely to be correct.

Ch.13 - Properties of Solutions

Brown - Chemistry: The Central Science 14th Edition

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Brown 14th Edition

Ch.13 - Properties of Solutions

Problema 56

Capitolo 13, Problema 56

Commercial concentrated aqueous ammonia is 28% NH₃ by mass and has a density of 0.90 g/mL. What is the molarity of this solution?

Guida verificata passo dopo passo

Step 1: Understand the problem. We are asked to find the molarity of a solution. Molarity (M) is defined as the number of moles of solute per liter of solution. In this case, the solute is NH₃ (ammonia) and the solution is the mixture of NH₃ and water.

Step 2: Calculate the mass of NH₃ in 1 liter of solution. Since the density of the solution is 0.90 g/mL, the mass of 1 liter (or 1000 mL) of solution is 0.90 g/mL * 1000 mL = 900 g. Since the solution is 28% NH₃ by mass, the mass of NH₃ in this 1 liter of solution is 28% * 900 g = 0.28 * 900 g.

Step 3: Convert the mass of NH₃ to moles. The molar mass of NH₃ is approximately 17.03 g/mol. So, the number of moles of NH₃ is the mass of NH₃ divided by the molar mass of NH₃.

Step 4: Calculate the molarity. The molarity (M) is the number of moles of solute (NH₃) per liter of solution. Since we have calculated the number of moles of NH₃ in 1 liter of solution in the previous step, this number is the molarity of the solution.

Step 5: Check your answer. The molarity should be a positive number and have the unit of moles per liter (M). If your answer has the correct unit and is a reasonable number, it is likely to be correct.

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Molarity

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is expressed in moles per liter (mol/L) and is crucial for understanding how much solute is present in a given volume of solution. To calculate molarity, one must know the amount of solute in moles and the total volume of the solution in liters.

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Molarity

Density

Density is the mass of a substance per unit volume, typically expressed in grams per milliliter (g/mL) or kilograms per cubic meter (kg/m³). In this context, the density of the ammonia solution allows us to convert between mass and volume, which is essential for determining how much solution is present when calculating molarity.

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Density Concepts

Percent by Mass

Percent by mass is a way to express the concentration of a solution, indicating the mass of solute present in a given mass of solution. In this case, a 28% by mass ammonia solution means that there are 28 grams of NH₃ in every 100 grams of the solution. This information is vital for calculating the number of moles of solute when combined with the density of the solution.

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Mass Percent Calculation

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