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05 question (1 point) coast tutorial problem tennantite is an ore of co…

Question

05 question (1 point) coast tutorial problem tennantite is an ore of copper with the formula cu12as4s13. 1st attempt how many moles of copper are present in a sample of tennantite with a mass of 2890 grams? moles cu

Explanation:

Step1: Calculate molar mass of tennantite

The molar mass of Cu is approximately 63.55 g/mol, As is approximately 74.92 g/mol, and S is approximately 32.07 g/mol.
The molar mass of \(Cu_{12}As_{4}S_{13}\) is \(12\times63.55 + 4\times74.92+13\times32.07\)
\[

$$\begin{align*} &12\times63.55+4\times74.92 + 13\times32.07\\ =&762.6+299.68+416.91\\ =&1479.19\text{ g/mol} \end{align*}$$

\]

Step2: Calculate moles of tennantite

Use the formula \(n=\frac{m}{M}\), where \(m = 2890\text{ g}\) and \(M = 1479.19\text{ g/mol}\)
\(n=\frac{2890}{1479.19}\approx1.953\text{ mol}\)

Step3: Calculate moles of copper

In one - mole of \(Cu_{12}As_{4}S_{13}\), there are 12 moles of Cu.
So moles of Cu in 1.953 mol of \(Cu_{12}As_{4}S_{13}\) is \(1.953\times12 = 23.436\text{ mol}\)

Answer:

23.44 (rounded to two decimal places)