Chapter 14: Problem 109
What mass of \(\mathrm{KNO}_{3}\) is required to prepare \(125 \mathrm{g}\) of 1.5\% KNO \(_{3}\) solution?
Short Answer
Expert verified
To prepare a 1.5% KNO3 solution with a total mass of 125g, you would need 1.875g of KNO3.
Step by step solution
01
Write down the given information
We are given the total mass of the solution (125g) and the desired mass percentage of KNO3 (1.5%).
02
Use the formula for percentage mass concentration to set up the equation
Let the mass of KNO3 required be \(m\) (in grams). Using the percentage mass formula, we have:
\(1.5\% = \frac{m}{125g} \times 100\)
03
Solve for the mass of KNO3 required
We need to solve the equation for \(m\):
\(1.5 = \frac{m}{125} \times 100\)
To isolate \(m\), let's divide both sides of the equation by 100:
\(\frac{1.5}{100} = \frac{m}{125}\)
Now, multiply both sides by 125:
\(\frac{1.5}{100} \times 125 = m\)
Evaluate the expression on the left side:
\(m = 1.875\)
So, the mass of KNO3 required is 1.875g.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Stoichiometry
Understanding stoichiometry is fundamental in mastering chemistry. The term stoichiometry is derived from the Greek words 'stoicheion' and 'metron,' which mean element and measure, respectively. At its core, stoichiometry deals with the quantitative relationships between the substances that are involved in chemical reactions.
In the context of solution preparation, stoichiometry allows us to calculate the exact amounts of reactants needed to form a desired product. By using stoichiometric calculations, one can determine the mass of a compound required to achieve a certain concentration in a given volume of solvent. These calculations are essential, particularly when preparing laboratory solutions or conducting any form of chemical synthesis.
For instance, if we are tasked with preparing a 1.5% mass percentage solution of KNO3, stoichiometry not only guides us in figuring out how much potassium nitrate (KNO3) we need but also ensures that the proportion of KNO3 in the solution aligns with the desired chemical reaction or application.
In the context of solution preparation, stoichiometry allows us to calculate the exact amounts of reactants needed to form a desired product. By using stoichiometric calculations, one can determine the mass of a compound required to achieve a certain concentration in a given volume of solvent. These calculations are essential, particularly when preparing laboratory solutions or conducting any form of chemical synthesis.
For instance, if we are tasked with preparing a 1.5% mass percentage solution of KNO3, stoichiometry not only guides us in figuring out how much potassium nitrate (KNO3) we need but also ensures that the proportion of KNO3 in the solution aligns with the desired chemical reaction or application.
Solution Concentration
Solution concentration represents the amount of a substance (solute) present in a specific amount of solvent. The mass percentage concentration is a common way to express concentration, especially in chemistry. It is defined as the mass of the solute in a solution divided by the total mass of the solution (solute plus solvent) times 100%. This gives a percentage that shows the proportion of the solute in the mixture.
When we say that a solution has a 1.5% KNO3 concentration, we mean that for every 100 grams of the solution, 1.5 grams are KNO3. This is extremely useful when mixing solutions to ensure that the strength of the solution is appropriate for its intended use. Whether for a lab experiment, manufacturing process, or medication, getting the concentration right is crucial. To calculate the mass of KNO3 required for a 125g solution, we apply the concept of mass percentage which involves a straightforward multiplication and division, resulting in the determination of the solute's mass needed to create a solution of the specified concentration.
When we say that a solution has a 1.5% KNO3 concentration, we mean that for every 100 grams of the solution, 1.5 grams are KNO3. This is extremely useful when mixing solutions to ensure that the strength of the solution is appropriate for its intended use. Whether for a lab experiment, manufacturing process, or medication, getting the concentration right is crucial. To calculate the mass of KNO3 required for a 125g solution, we apply the concept of mass percentage which involves a straightforward multiplication and division, resulting in the determination of the solute's mass needed to create a solution of the specified concentration.
Chemical Calculations
Performing chemical calculations is integral to many areas within chemistry, from basic laboratory tasks to advanced research. Such calculations help us understand the proportions and quantities of chemicals involved in reactions and solution preparations.
To carry out these calculations effectively, one must be familiar with various concepts and formulas. In our exercise, we used the formula for calculating mass percentage concentration to determine the mass of KNO3 necessary to make a 125g solution with a 1.5% concentration.
These formulas are also underpinned by the conservation of mass principle, which states that matter is neither created nor destroyed in a chemical reaction. Hence, the mass we calculate for KNO3 includes all the atoms as they will exist in the final solution, ensuring accuracy and maintaining the balance of matter throughout the process.
To carry out these calculations effectively, one must be familiar with various concepts and formulas. In our exercise, we used the formula for calculating mass percentage concentration to determine the mass of KNO3 necessary to make a 125g solution with a 1.5% concentration.
These formulas are also underpinned by the conservation of mass principle, which states that matter is neither created nor destroyed in a chemical reaction. Hence, the mass we calculate for KNO3 includes all the atoms as they will exist in the final solution, ensuring accuracy and maintaining the balance of matter throughout the process.