Questions: A chemist prepares a solution of mercury(II) iodide (HgI2) by weighing out 9.56 mg of mercury(II) iodide into a 350 mL volumetric flask and filling the flask to the mark with water. Calculate the concentration in g / L of the chemist's mercury(II) iodide solution. Round your answer to 3 significant digits.

A chemist prepares a solution of mercury(II) iodide (HgI2) by weighing out 9.56 mg of mercury(II) iodide into a 350 mL volumetric flask and filling the flask to the mark with water.
Calculate the concentration in g / L of the chemist's mercury(II) iodide solution. Round your answer to 3 significant digits.
Transcript text: A chemist prepares a solution of mercury(II) iodide $\left(\mathrm{HgI}_{2}\right)$ by weighing out 9.56 mg of mercury(II) iodide into a 350 . mL volumetric flask and filling the flask to the mark with water. Calculate the concentration in $\mathrm{g} / \mathrm{L}$ of the chemist's mercury(II) iodide solution. Round your answer to 3 significant digits.
failed

Solution

failed
failed

Solution Steps

Step 1: Convert Mass to Grams

First, convert the mass of mercury(II) iodide from milligrams to grams.

Given: \[ 9.56 \, \text{mg} \]

Since \(1 \, \text{mg} = 0.001 \, \text{g}\), we have: \[ 9.56 \, \text{mg} = 9.56 \times 0.001 \, \text{g} = 0.00956 \, \text{g} \]

Step 2: Convert Volume to Liters

Next, convert the volume of the solution from milliliters to liters.

Given: \[ 350 \, \text{mL} \]

Since \(1 \, \text{mL} = 0.001 \, \text{L}\), we have: \[ 350 \, \text{mL} = 350 \times 0.001 \, \text{L} = 0.350 \, \text{L} \]

Step 3: Calculate the Concentration

Now, calculate the concentration of the solution in grams per liter (\(\text{g/L}\)) using the formula: \[ \text{Concentration} = \frac{\text{mass of solute (g)}}{\text{volume of solution (L)}} \]

Substitute the values: \[ \text{Concentration} = \frac{0.00956 \, \text{g}}{0.350 \, \text{L}} \]

Step 4: Perform the Division

Perform the division to find the concentration: \[ \text{Concentration} = 0.00956 \, \text{g} / 0.350 \, \text{L} = 0.0273143 \, \text{g/L} \]

Step 5: Round to 3 Significant Digits

Finally, round the concentration to 3 significant digits: \[ 0.0273143 \approx 0.0273 \]

Final Answer

\[ \boxed{0.0273 \, \text{g/L}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful