Questions: A chemist prepares a solution of iron(III) bromide (FeBr3) by weighing out 180.8 of iron(III) bromide into a 300. miL volumetric flask and filling the flask to the mark with water. Calculate the concentration in g / dL of the chemist's iron(III) bromide solution. Be sure your answer has the correct number of significant digits.

A chemist prepares a solution of iron(III) bromide (FeBr3) by weighing out 180.8 of iron(III) bromide into a 300. miL volumetric flask and filling the flask to the mark with water.

Calculate the concentration in g / dL of the chemist's iron(III) bromide solution. Be sure your answer has the correct number of significant digits.
Transcript text: A chemist prepares a solution of iron(III) bromide ( $\mathrm{FeBr}_{3}$ ) by weighing out 180.8 of iron(III) bromide into a 300. miL volumetric flask and filling the flask to the mark with water. Calculate the concentration in $\mathrm{g} / \mathrm{dL}$ of the chemist's iron(III) bromide solution. Be sure your answer has the correct number of significant digits.
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Solution

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Solution Steps

Step 1: Convert Volume to Deciliters

First, we need to convert the volume of the solution from milliliters (mL) to deciliters (dL).

\[ 300 \, \text{mL} = 300 \, \text{mL} \times \frac{1 \, \text{dL}}{100 \, \text{mL}} = 3.00 \, \text{dL} \]

Step 2: Calculate the Concentration in g/dL

Next, we calculate the concentration of iron(III) bromide in grams per deciliter (g/dL). The mass of iron(III) bromide is given as 180.8 grams.

\[ \text{Concentration} = \frac{\text{mass of solute}}{\text{volume of solution}} = \frac{180.8 \, \text{g}}{3.00 \, \text{dL}} \]

Step 3: Perform the Division

Now, we perform the division to find the concentration.

\[ \text{Concentration} = \frac{180.8 \, \text{g}}{3.00 \, \text{dL}} = 60.27 \, \text{g/dL} \]

Final Answer

\[ \boxed{60.27 \, \text{g/dL}} \]

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