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Calculate Ksp for Zinc Sulfide From The Following Data

Reviewed by Calculator Editorial Team

The solubility product constant (Ksp) is a fundamental concept in chemistry that quantifies the solubility of a sparingly soluble ionic compound. This calculator helps you determine the Ksp for zinc sulfide (ZnS) from given solubility data.

What is Ksp?

The solubility product constant (Ksp) is an equilibrium constant that expresses the relationship between the concentrations of dissolved ions in a saturated solution of a sparingly soluble ionic compound. For zinc sulfide (ZnS), the Ksp value indicates how easily the compound dissolves in water.

Zinc sulfide (ZnS) is a white, crystalline solid that occurs naturally as the mineral sphalerite. It has important applications in electronics, optics, and as a pigment.

How to Calculate Ksp

The Ksp for zinc sulfide can be calculated using the following formula:

Ksp = [Zn2+] × [S2-]

Where:

  • [Zn2+] = concentration of zinc ions in moles per liter (M)
  • [S2-] = concentration of sulfide ions in moles per liter (M)

To calculate Ksp, you need to know the concentrations of the dissolved ions in a saturated solution of zinc sulfide. These concentrations can be determined experimentally or obtained from solubility tables.

Steps to Calculate Ksp

  1. Determine the molar solubility of zinc sulfide (s) in grams per liter (g/L).
  2. Convert the molar solubility to moles per liter (M) using the molar mass of zinc sulfide (110.41 g/mol).
  3. Calculate the concentration of zinc ions ([Zn2+]) and sulfide ions ([S2-]) based on the stoichiometry of the dissociation reaction.
  4. Multiply the concentrations of the ions to obtain the Ksp value.

Example Calculation

Let's calculate the Ksp for zinc sulfide using the following data:

Parameter Value
Molar solubility of ZnS 0.0012 g/L
Molar mass of ZnS 110.41 g/mol

Step-by-Step Solution

  1. Convert the molar solubility to moles per liter:

    s = 0.0012 g/L ÷ 110.41 g/mol = 0.00001086 M

  2. For zinc sulfide, each formula unit dissociates into one zinc ion and one sulfide ion:

    [Zn2+] = s = 0.00001086 M

    [S2-] = s = 0.00001086 M

  3. Calculate Ksp:

    Ksp = [Zn2+] × [S2-] = 0.00001086 × 0.00001086 = 1.18 × 10-8 M2

The calculated Ksp value of 1.18 × 10-8 M2 indicates that zinc sulfide is a sparingly soluble compound, as expected.

Interpreting Results

The Ksp value provides important information about the solubility of zinc sulfide:

  • A higher Ksp value indicates greater solubility.
  • A lower Ksp value indicates lower solubility.
  • The Ksp value helps predict whether precipitation will occur when solutions containing Zn2+ and S2- ions are mixed.

Comparing the calculated Ksp value with known values for zinc sulfide (typically around 1.6 × 10-24 M2 at 25°C) can help verify the accuracy of your calculations.

FAQ

What is the significance of the Ksp value?
The Ksp value quantifies the solubility of a compound and helps predict whether precipitation will occur when solutions containing the ions are mixed.
How does temperature affect the Ksp value?
The Ksp value is temperature-dependent. As temperature increases, the Ksp value typically increases, indicating greater solubility.
Can the Ksp value be negative?
No, the Ksp value is always positive because it represents the product of concentrations, which are always positive.
What are common applications of zinc sulfide?
Zinc sulfide is used in electronics, optics, as a pigment, and in the production of luminescent materials.
How accurate are the calculations performed by this calculator?
The calculator provides accurate results based on the input data and the standard formula for Ksp calculation. However, experimental conditions may affect actual solubility.