Q24P - Chemistry: Molecular Nature Of Matter And Change

Question

A compound of copper and sulfur contains 88.39 g of metal and 44.61 g of nonmetal. How many grams of copper are in5264 kg of the compound? How many grams of sulfur?

Step-by-Step Solution

Answer

To calculate grams of Cu we require to calculate the mass ratio of Cu which is found to be 0.66.

 $\mathrm{Total} \mathrm{mass} \mathrm{of} \mathrm{compound}=\mathrm{m}\left(\mathrm{Cu}\right)+\mathrm{m}\left(\mathrm{S}\right)=\left(88.39+44.61\right)\mathrm{g}=133 \mathrm{g}$

And the calculated Mass of Cu in the Kilogram found is 3489.38Kg and m(S)= 1765.61Kg

Step1. Calculation of mass ratio of Cu

To calculate grams of Cu we require to calculate these values:

$\mathrm{Total} \mathrm{mass} \mathrm{of} \mathrm{compound}=\mathrm{m}\left(\mathrm{Cu}\right)+\mathrm{m}\left(\mathrm{S}\right)=\left(88.39+44.61\right)\mathrm{g}=133 \mathrm{g}$

The mass ratio of Cu =$\frac{\mathbf{m}\left(\mathrm{Cu}\right)}{\mathbf{m}\left(\mathrm{compound}\right)}\mathbf{=}\frac{\mathbf{88}\mathbf{.}\mathbf{39}\mathbf{ }\mathbf{g}}{\mathbf{133}\mathbf{ }\mathbf{g}}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{66}$

Where mCu is the mass of Cu = 88.39g, and m(Compound) is the mass of Compound = 133g

M(Cu) = mass ratio(Cu) m(CuS)

$$\begin{gathered} \mathbf{M}\left(\mathrm{Cu}\right)\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{665}\mathbf{\times }\mathbf{5264}\mathbf{ }\mathbf{Kg} \\ \mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{=}\mathbf{3489}\mathbf{.}\mathbf{38}\mathbf{ }\mathbf{Kg} \end{gathered}$$

Step2. Calculation of grams of sulfur.

$$\begin{gathered} \mathbf{m}\left(S\right)\mathbf{=}\mathbf{m}\left(\mathrm{CuS}\right)\mathbf{‐}\mathbf{m}\left(\mathrm{Cu}\right) \\ \mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{=}\left(5264-3489.38\right)\mathbf{ }\mathbf{Kg} \\ \mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{=}\mathbf{1765}\mathbf{.}\mathbf{61}\mathbf{ }\mathbf{Kg} \end{gathered}$$

Hence the m(S) = 1765.61Kg and m(Cu) = 3489.38 Kg