Math Problem Statement

A chemist prepares a solution of mercury(I) chloride

Hg2Cl2

by measuring out

0.00124μmol

of mercury(I) chloride into a

400.mL

volumetric flask and filling the flask to the mark with water.

Calculate the concentration in

/mmolL

of the chemist's mercury(I) chloride solution. Round your answer to

3

significant digits.

Solution

To find the concentration of the mercury(I) chloride (Hg₂Cl₂) solution in mmol/L, we can follow these steps:

Step 1: Convert µmol to mmol

We are given the amount of mercury(I) chloride in µmol (0.00124 µmol). To convert µmol to mmol: 1μmol=103mmol1 \, \mu mol = 10^{-3} \, mmol So: 0.00124μmol=0.00124×103mmol=1.24×106mmol0.00124 \, \mu mol = 0.00124 \times 10^{-3} \, mmol = 1.24 \times 10^{-6} \, mmol

Step 2: Convert the volume from mL to L

The volume of the solution is given as 400 mL. To convert this to liters: 1L=1000mL1 \, L = 1000 \, mL Thus: 400mL=4001000L=0.400L400 \, mL = \frac{400}{1000} \, L = 0.400 \, L

Step 3: Calculate the concentration in mmol/L

The concentration CC in mmol/L is calculated by dividing the amount of substance in mmol by the volume in liters: C=amount of substance in mmolvolume in LC = \frac{\text{amount of substance in mmol}}{\text{volume in L}} Substituting the values: C=1.24×106mmol0.400L=3.10×106mmol/LC = \frac{1.24 \times 10^{-6} \, mmol}{0.400 \, L} = 3.10 \times 10^{-6} \, mmol/L

Final Answer:

The concentration of the mercury(I) chloride solution is: 3.10×106mmol/L\boxed{3.10 \times 10^{-6} \, mmol/L}

Do you want more details or have any questions?


Here are 5 related questions:

  1. How do you convert molarity to other concentration units?
  2. What is the significance of significant figures in concentration calculations?
  3. Can you explain how to prepare a solution of a given concentration from a stock solution?
  4. What is the molecular weight of Hg₂Cl₂ and how would you calculate moles from grams?
  5. How would dilution affect the concentration of a solution?

Tip: Always ensure that your units are consistent when performing calculations, especially when converting between µmol, mmol, and mol.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Concentration Calculations

Formulas

1 μmol = 10^-3 mmol
Concentration (C) = Amount of substance (mmol) / Volume (L)

Theorems

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Suitable Grade Level

Undergraduate Chemistry