Q.2.23 P - Chemistry: Molecular Nature Of Matter And Change

Question

Zinc sulfide (ZnS) occurs in the zinc blend crystal structure. How many kilograms of Zn are in 3.82 kg of ZnS?

 

Step-by-Step Solution

Answer

To calculate grams Kilograms of Zn in 382 Kg of ZnS we require to calculate the mass ratio of Zn which is found to be 0.669.

And the calculated Mass of Zn in the Kilogram found is 2.557Kg.

Step1. Calculation of mass ratio of Zn

To calculate grams Kilograms of Zn in 382 Kg of ZnS we require to calculate these values:

The mass ratio of Zn =$\frac{\mathbf{m}\mathbf{Z}\mathbf{n}}{\mathbf{m}\mathbf{Z}\mathbf{n}\mathbf{S}}\mathbf{=}\frac{\mathbf{1}\mathbf{.}\mathbf{7}\mathbf{g}}{\mathbf{2}\mathbf{.}\mathbf{54}\mathbf{g}}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{669}$

Where mZn is mass of Zn = 1.7 g, and mZnS is the mass of ZnS = 2.54 g(These values are given in subpart 1)

Step2. Calculation of Kilograms of Zn in ZnS.

For calculating Kilograms, we have the following equation to solve.

$\mathit{M}\mathit{a}\mathit{s}\mathit{s}\left(Zn\right)\mathbf{=}\mathbf{3}\mathbf{.}\mathbf{82}\mathit{K}\mathit{g}\left(ZnS\right)\mathbf{\times }\mathbf{0}\mathbf{.}\mathbf{669}\frac{\mathbf{Z}\mathbf{n}}{\mathbf{Z}\mathbf{n}\mathbf{S}}\mathbf{=}\mathbf{2}\mathbf{.}\mathbf{557}\mathit{K}\mathit{g}$

Here the calculated Mass of Zn in Kilogram found is 2.557Kg.