Q. 2.24 P - 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.

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

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:

$total mass of compound=m\left(Cu\right)+m\left(S\right)=\left(88.39+44.61\right) g =133g$

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

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)

$$\begin{gathered} \mathit{m}\left(Cu\right)\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{665}\mathbf{\times }\mathbf{5264}\mathbf{ }\mathit{K}\mathit{g} \\ \mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{=}\mathbf{3489}\mathbf{.}\mathbf{38}\mathbf{ }\mathit{K}\mathit{g} \end{gathered}$$

Step2. Calculation of grams of sulfur.

$$\begin{gathered} \mathit{m}\left(S\right)\mathbf{=}\mathit{m}\left(CuS\right)\mathbf{-}\mathit{m}\left(Cu\right) \\ \mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{=}\left(5264-3489.38\right)\mathit{K}\mathit{g} \\ \mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{=}\mathbf{1765}\mathbf{.}\mathbf{61}\mathit{K}\mathit{g} \end{gathered}$$

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