A Hydrate Of Cocl2 With A Mass Of 6.00 G

The intrigue surrounding a cobalt(II) chloride hydrate with a mass of 6.00 g stems from its potential to reveal the compound's exact chemical formula and the number of water molecules associated with each cobalt(II) chloride unit. Determining the hydration number is a classic chemistry experiment that elegantly combines quantitative measurements and stoichiometric calculations.

Understanding Cobalt(II) Chloride Hydrates

Cobalt(II) chloride (CoCl₂) is a chemical compound that, in its anhydrous form, appears as blue crystals. However, CoCl₂ readily absorbs moisture from the air, forming hydrates. These hydrates are compounds where water molecules are chemically bound to the cobalt(II) chloride in a specific ratio. The most common hydrate is cobalt(II) chloride hexahydrate (CoCl₂·6H₂O), which is pink in color. Other hydrates exist, and the color can vary slightly depending on the degree of hydration. The general formula for a cobalt(II) chloride hydrate is CoCl₂·xH₂O, where x represents the number of water molecules per CoCl₂ unit – the hydration number we aim to determine.

The change in color upon hydration is a key characteristic. Anhydrous cobalt(II) chloride is blue, but as it absorbs water to form hydrates, it turns pink. This color change makes cobalt(II) chloride a useful indicator of humidity.

The Experiment: Determining the Hydration Number

The core of determining the hydration number of a CoCl₂ hydrate involves carefully heating a known mass of the hydrate to drive off the water molecules. By measuring the mass of the remaining anhydrous CoCl₂ and comparing it to the initial mass of the hydrate, we can calculate the mass of water lost. This information, combined with the molar masses of CoCl₂ and H₂O, allows us to calculate the mole ratio of CoCl₂ to H₂O, which directly gives us the hydration number, x.

Here's a detailed breakdown of the experimental procedure and the calculations involved:

Materials:

• Cobalt(II) chloride hydrate (CoCl₂·xH₂O)
• Crucible and lid
• Bunsen burner or hot plate
• Balance (accurate to 0.001 g)
• Tongs
• Desiccator (optional, but recommended)

Procedure:

1. Weigh the Crucible: Clean and dry a crucible and its lid. Weigh the crucible and lid together using the analytical balance. Record this mass precisely. Let's denote this mass as m₁.

2. Add the Hydrate: Carefully add approximately 6.00 g (as stated in the prompt) of the cobalt(II) chloride hydrate to the crucible. Replace the lid.

3. Weigh the Crucible and Hydrate: Weigh the crucible, lid, and hydrate together. Record this mass as m₂.

4. Heating: Place the crucible (with the lid slightly ajar to allow water vapor to escape) on a clay triangle supported by a ring stand. Heat the crucible gently at first, then gradually increase the heat. Avoid spattering. Heating should be done in a fume hood to avoid inhalation of any cobalt chloride fumes.

5. Continued Heating and Cooling: Continue heating for about 10-15 minutes, ensuring all the water has been driven off. The pink color of the hydrate should disappear, leaving a blue or purple-blue color characteristic of anhydrous CoCl₂. Turn off the burner and allow the crucible to cool to room temperature inside a desiccator to prevent the anhydrous CoCl₂ from reabsorbing moisture from the air. If a desiccator isn't available, let the crucible cool in a dry environment and weigh it quickly.

6. Weighing After Heating: Once the crucible has cooled completely, weigh the crucible, lid, and the anhydrous cobalt(II) chloride. Record this mass as m₃.

7. Repeat Heating (Optional): To ensure that all the water has been driven off, repeat the heating and cooling process. Weigh the crucible again. If the mass is the same as m₃ (within the balance's error range), then the dehydration is complete. If the mass is different, continue heating until a constant mass is achieved.

Calculations: Unraveling the Formula

Now that we have the experimental data, we can perform the calculations to determine the hydration number x.

1. Mass of the Hydrate: Calculate the mass of the cobalt(II) chloride hydrate by subtracting the mass of the empty crucible and lid (m₁) from the mass of the crucible, lid, and hydrate (m₂):

   Mass of hydrate = m₂ - m₁

   Let's assume:

   • m₁ = 25.000 g
   • m₂ = 31.000 g

   Then, the mass of the hydrate = 31.000 g - 25.000 g = 6.000 g (as given).

2. Mass of Anhydrous CoCl₂: Calculate the mass of the anhydrous cobalt(II) chloride by subtracting the mass of the empty crucible and lid (m₁) from the mass of the crucible, lid, and anhydrous CoCl₂ (m₃):

   Mass of anhydrous CoCl₂ = m₃ - m₁

   Let's assume m₃ = 28.274 g

   Then, the mass of anhydrous CoCl₂ = 28.274 g - 25.000 g = 3.274 g

3. Mass of Water Lost: Calculate the mass of water lost during heating by subtracting the mass of the anhydrous CoCl₂ from the mass of the hydrate:

   Mass of water lost = Mass of hydrate - Mass of anhydrous CoCl₂

   Mass of water lost = 6.000 g - 3.274 g = 2.726 g

4. Moles of Anhydrous CoCl₂: Calculate the number of moles of anhydrous CoCl₂ using its molar mass (129.84 g/mol):

   Moles of CoCl₂ = Mass of CoCl₂ / Molar mass of CoCl₂

   Moles of CoCl₂ = 3.274 g / 129.84 g/mol = 0.02522 mol

5. Moles of Water Lost: Calculate the number of moles of water lost using its molar mass (18.015 g/mol):

   Moles of H₂O = Mass of H₂O / Molar mass of H₂O

   Moles of H₂O = 2.726 g / 18.015 g/mol = 0.1513 mol

6. Hydration Number (x): Determine the hydration number (x) by dividing the moles of water by the moles of CoCl₂:

   x = Moles of H₂O / Moles of CoCl₂

   x = 0.1513 mol / 0.02522 mol = 6.00

Therefore, based on these calculations, the formula of the cobalt(II) chloride hydrate is CoCl₂·6H₂O, meaning x = 6. This indicates that the original sample was cobalt(II) chloride hexahydrate.

Potential Sources of Error

It's important to acknowledge potential sources of error that can affect the accuracy of the results:

• Incomplete Dehydration: If the heating is not sufficient, some water molecules may remain bound to the CoCl₂, leading to an underestimation of the hydration number. Repeating the heating and weighing until a constant mass is achieved minimizes this error.

• Reabsorption of Moisture: Anhydrous CoCl₂ is hygroscopic, meaning it readily absorbs moisture from the air. If the crucible is not cooled in a desiccator or weighed quickly, the anhydrous CoCl₂ can reabsorb water, leading to an overestimation of the mass of the anhydrous CoCl₂ and an underestimation of the hydration number.

• Spattering: If the heating is too rapid, some of the hydrate may spatter out of the crucible, leading to inaccurate mass measurements. Gentle heating is crucial to avoid spattering.

• Inaccurate Weighing: Errors in weighing the crucible, hydrate, and anhydrous CoCl₂ can propagate through the calculations. Using a high-precision balance and carefully recording the measurements is essential.

• Decomposition of CoCl₂: At very high temperatures, CoCl₂ can decompose. This is usually not a problem at the temperatures used in this experiment, but it's a possibility.

The Science Behind Hydration

The interaction between cobalt(II) chloride and water is a fascinating example of coordination chemistry. Cobalt(II) is a transition metal ion capable of forming coordinate covalent bonds with water molecules. In cobalt(II) chloride hexahydrate, the cobalt(II) ion is surrounded by six water molecules acting as ligands. These water molecules are directly coordinated to the cobalt(II) ion, forming a complex ion, [Co(H₂O)₆]²⁺. The chloride ions (Cl⁻) are present as counterions to balance the charge of the complex. The pink color of the hexahydrate is due to d-d electronic transitions within the [Co(H₂O)₆]²⁺ complex.

When the hydrate is heated, the water molecules gain enough kinetic energy to overcome the attractive forces holding them to the cobalt(II) ion. They break free from the coordination complex and evaporate, leaving behind the anhydrous cobalt(II) chloride. The change in the coordination environment around the cobalt(II) ion also alters its electronic structure, leading to the change in color from pink to blue. The blue color of anhydrous cobalt(II) chloride arises from a different coordination geometry (often tetrahedral) and different electronic transitions.

Applications of Cobalt(II) Chloride Hydrates

Cobalt(II) chloride hydrates have several applications, exploiting their color change upon hydration/dehydration:

• Humidity Indicators: Cobalt(II) chloride paper is used as a humidity indicator. The paper is blue when dry and turns pink in humid conditions.

• Desiccants: While not a primary desiccant, cobalt(II) chloride can be used in desiccant mixtures to indicate when the desiccant is saturated with moisture.

• Invisible Ink: A dilute solution of cobalt(II) chloride can be used as invisible ink. The writing appears when heated (driving off the water) and disappears again as it cools and reabsorbs moisture.

• Chemical Demonstrations: The color change associated with hydration/dehydration makes cobalt(II) chloride a popular compound for chemical demonstrations.

Deeper Dive: Other Cobalt(II) Chloride Hydrates

While the hexahydrate (CoCl₂·6H₂O) is the most common, other hydrates of cobalt(II) chloride exist, including the dihydrate (CoCl₂·2H₂O) and the tetrahydrate (CoCl₂·4H₂O). The stability of these different hydrates depends on factors such as temperature and humidity. Under specific conditions, it's possible to convert one hydrate into another. For example, heating the hexahydrate under controlled conditions might yield the dihydrate.

The experimental method described above can, in principle, be used to determine the hydration number of any cobalt(II) chloride hydrate, provided that a pure sample of the specific hydrate is available. However, preparing and maintaining pure samples of hydrates other than the hexahydrate can be challenging.

Conclusion

Determining the hydration number of a cobalt(II) chloride hydrate is a valuable exercise in quantitative chemistry. By carefully measuring mass changes during dehydration and applying stoichiometric principles, one can successfully determine the number of water molecules associated with each cobalt(II) chloride unit. This experiment highlights the importance of accurate measurements, attention to detail, and understanding potential sources of error in experimental work. Moreover, it provides a tangible illustration of coordination chemistry and the fascinating interplay between chemical composition, structure, and properties. The color change associated with the hydration/dehydration process adds an engaging visual element to the learning experience, reinforcing key chemical concepts. The experiment serves as a strong foundation for understanding more complex chemical analyses and quantitative techniques.