what mass of $kno_3$ is in a 100. g of a saturated solution at $50 \\text{ } ^\\circ c$?\n\nmass $kno_3 =…

what mass of $kno_3$ is in a 100. g of a saturated solution at $50 \\text{ } ^\\circ c$?\n\nmass $kno_3 = ? \\text{ g}$\n\nround to the nearest 5 grams.

what mass of $kno_3$ is in a 100. g of a saturated solution at $50 \\text{ } ^\\circ c$?\n\nmass $kno_3 = ? \\text{ g}$\n\nround to the nearest 5 grams.

Answer

Explanation:

Step1: Identify solubility from the graph

Locate $50\text{ °C}$ on the x-axis and find the corresponding solubility for $\text{KNO}_3$ on the y-axis. $$S = 80\text{ g solute per } 100\text{ g } \text{H}_2\text{O}$$

Step2: Calculate total mass of saturated solution

The total mass of a saturated solution is the sum of the solute and the solvent. $$\text{Mass of solution} = 80\text{ g (solute)} + 100\text{ g (solvent)} = 180\text{ g}$$

Step3: Determine mass of solute in 100 g solution

Use a proportion to find the mass of $\text{KNO}_3$ ($x$) in $100\text{ g}$ of solution. $$\frac{80\text{ g solute}}{180\text{ g solution}} = \frac{x}{100\text{ g solution}}$$

Step4: Solve for x

Calculate the value and round to the nearest $5\text{ grams}$ as requested. $$x = \frac{80 \times 100}{180} \approx 44.44\text{ g}$$

Answer:

45 g