At [tex]$60^{\circ} C$[/tex]
124 g of saturated solution obtained 2 g of solid [tex]$A$[/tex]
12 g of saturated solution obtained = ?
[tex]\begin{array}{l}
=\frac{12 g \times 2 g}{124 g} \\
=2.32 g
\end{array}[/tex]
Answer (2)
Calculate the concentration of solid A in the saturated solution: 1249 24 .
Multiply the concentration by the mass of the new solution (129 g): 1249 24 × 129 .
Calculate the result: approximately 2.479 g.
The amount of solid A in 129 g of saturated solution is approximately 2.479 g.
Explanation
Understanding the Problem We are given that at 6 0 ∘ C , 1249 g of a saturated solution contains 24 g of solid A. We want to find out how much solid A is present in 129 g of the saturated solution at the same temperature.
Calculating the Concentration First, we need to determine the concentration of solid A in the saturated solution. The concentration is the ratio of the mass of solid A to the total mass of the solution, which is 1249 24 .
Finding the Mass of Solid A Next, we multiply this concentration by the mass of the new solution (129 g) to find the mass of solid A in the 129 g solution. So, we calculate 1249 24 × 129 .
Result The result of the calculation is approximately 2.479 g.
Conclusion Therefore, in 129 g of the saturated solution, there are approximately 2.479 g of solid A.
Examples
Understanding how to calculate the amount of a substance in a solution is crucial in many real-life scenarios. For example, when preparing a cleaning solution, you need to know the concentration of the active ingredient to ensure it's effective but not harmful. Similarly, in cooking, knowing the proportion of salt in a brine solution is essential for pickling vegetables properly. In medicine, calculating the dosage of a drug in a solution is vital for patient safety. These calculations rely on the same principles of proportions and concentrations that we used in the problem.
To find the amount of solid A in 12 g of saturated solution at 6 0 °C , we first calculated the concentration of solid A in the original solution. Using the concentration, we determined that there would be approximately 0.19355 g of solid A in 12 g of the saturated solution. Therefore, the answer is 0.19355 g of solid A in 12 g of the solution.
;
