How many kilograms of chalcopyrite must be mined to obtain 315g of pure Cu?

Doesn't that depend upon the percent chalcopyrite in the mined stuff?

The most common source of copper (Cu) is the mineral chalcopyrite (CuFeS2). How many kilograms of chalcopyrite must be mined to obtain 465g of pure Cu?

To determine the amount of chalcopyrite that needs to be mined, we'll use the molar mass and stoichiometry of chalcopyrite (CuFeS2).

The molar mass of chalcopyrite (CuFeS2) can be calculated as follows:
Cu: 63.55 g/mol
Fe: 55.85 g/mol
S: 32.07 g/mol

Adding the molar masses of each element:
Molar mass of CuFeS2 = (63.55 g/mol) + (55.85 g/mol) + 2 * (32.07 g/mol) = 183.54 g/mol

To find the mass of chalcopyrite needed to obtain 315g of pure Cu, we'll use stoichiometry. The molar ratio of Cu to CuFeS2 is 1:1, which means 1 mole of Cu corresponds to 1 mole of CuFeS2.

315g of pure Cu is equal to 315 g / (63.55 g/mol) = 4.96 mol of Cu.

Since 1 mole of Cu corresponds to 1 mole of CuFeS2, we need 4.96 mol of CuFeS2.

Finally, we can calculate the mass of chalcopyrite needed:
Mass of chalcopyrite = 4.96 mol * 183.54 g/mol = 912.28 g

Therefore, approximately 912.28 grams (or 0.91228 kilograms) of chalcopyrite must be mined to obtain 315g of pure Cu.

To answer this question, we need to know the percentage of copper in chalcopyrite. Chalcopyrite is a copper iron sulfide mineral, and its percentage of copper can vary.

Once we have the percentage of copper in chalcopyrite, we can use this information to determine how many kilograms of chalcopyrite must be mined to obtain 315g of pure copper.

To do this, we'll follow these steps:

1. Find the percentage of copper in chalcopyrite.
2. Calculate the mass of chalcopyrite required to obtain 315g of pure copper.

Let's start with step 1:

To determine the percentage of copper in chalcopyrite, you can refer to a reliable source such as mineral databases or literature on chalcopyrite. The percentage of copper in chalcopyrite is typically around 34.5%.

Now, let's move on to step 2:

To calculate the mass of chalcopyrite required, we can use the concept of proportion:

Percentage of copper/100 = Mass of pure copper (g) / Mass of chalcopyrite (g)

Given that the percentage of copper in chalcopyrite is 34.5% and the mass of pure copper is 315g, we can set up the proportion:

34.5/100 = 315/Mass of chalcopyrite

Cross-multiplying:

34.5 * Mass of chalcopyrite = 100 * 315

Dividing both sides by 34.5:

Mass of chalcopyrite = (100 * 315) / 34.5

Calculating the result:

Mass of chalcopyrite = 915 kg

Therefore, approximately 915 kilograms of chalcopyrite must be mined to obtain 315 grams of pure copper, assuming a 34.5% copper content in chalcopyrite.