Lead is often found in Earth's crust as several lead compounds. Calculate the mass in kilograms of the amount of each of the following lead compounds that contains 4500kg of lead.

1)PbCO3 (cerussite)
2) PbSO4(anglesite)

You can go through kg to moles and back to grams and kg but thre is an easier way to do that is no longer taught in schools. I wish they did. I've used it my entire career.

To convert Pb to PbCO3.
4500 kg Pb x (factor) = ?? g PbCO3
Just make the factor (it works the same way as converting lbs to ounces or grams).
4500 kg x (molar mass PbCO3/molar mass Pb) = ?? kg PbCO3.
4500 kg Pb x (molar mass PbSO4/molar mass Pb) = ?? kg PbSO4

The atio of molar mass X/molar mass Y is called the chemical factor.

thank you so much. you explain things really well!

To calculate the mass of each lead compound, we need to determine their molar masses and then use stoichiometry to convert from the mass of lead to the mass of each compound.

1) PbCO3 (cerussite)
The molar mass of PbCO3 can be calculated by summing the atomic masses of each element in the compound:

Pb: 207.2 g/mol
C: 12.01 g/mol
O: 16.00 g/mol (x3)

Molar mass of PbCO3 = 207.2 g/mol + 12.01 g/mol + (16.00 g/mol x 3)
= 207.2 g/mol + 12.01 g/mol + 48.00 g/mol
= 267.21 g/mol

To convert the mass of lead (4500 kg) to the mass of PbCO3, we can use the molar mass ratio:

(4500 kg / 207.2 g/mol) * 267.21 g/mol = 5796.8 kg

Therefore, 4500 kg of lead would be equivalent to approximately 5796.8 kg of PbCO3.

2) PbSO4 (anglesite)
The molar mass of PbSO4 can be calculated as follows:

Pb: 207.2 g/mol
S: 32.07 g/mol
O: 16.00 g/mol (x4)

Molar mass of PbSO4 = 207.2 g/mol + 32.07 g/mol + (16.00 g/mol x 4)
= 207.2 g/mol + 32.07 g/mol + 64.00 g/mol
= 303.27 g/mol

Using the molar mass ratio, we can convert the mass of lead (4500 kg) to the mass of PbSO4:

(4500 kg / 207.2 g/mol) * 303.27 g/mol = 6581.3 kg

Therefore, 4500 kg of lead would be equivalent to approximately 6581.3 kg of PbSO4.

To calculate the mass of each lead compound, we need to first determine the molar mass of each compound from the periodic table. The molar mass is the mass of one mole of a substance in grams.

1) PbCO3 (cerussite):
- The molar mass of Pb (lead) is approximately 207.2 g/mol.
- The molar mass of C (carbon) is approximately 12.01 g/mol.
- The molar mass of O (oxygen) is approximately 16.00 g/mol.

To calculate the molar mass of PbCO3:
Molar mass of PbCO3 = (1 * molar mass of Pb) + (1 * molar mass of C) + (3 * molar mass of O)
= (1 * 207.2) + (1 * 12.01) + (3 * 16.00)
= 207.2 + 12.01 + 48.00
= 267.21 g/mol

Now, we can calculate the mass of PbCO3 containing 4500 kg of lead:
Mass of PbCO3 = (4500 kg / molar mass of PbCO3) * molar mass of PbCO3
= (4500 kg / 267.21 g/mol) * 267.21 g/mol
= 4500 * (g/mol / g/mol)
= 4500 g

To convert the result to kilograms:
Mass of PbCO3 in kilograms = 4500 g / 1000
= 4.5 kg

Therefore, the mass of PbCO3 that contains 4500 kg of lead is 4.5 kg.

2) PbSO4 (anglesite):
- The molar mass of Pb (lead) is the same as above, approximately 207.2 g/mol.
- The molar mass of S (sulfur) is approximately 32.06 g/mol.
- The molar mass of O (oxygen) is the same as above, approximately 16.00 g/mol.

To calculate the molar mass of PbSO4:
Molar mass of PbSO4 = (1 * molar mass of Pb) + (1 * molar mass of S) + (4 * molar mass of O)
= (1 * 207.2) + (1 * 32.06) + (4 * 16.00)
= 207.2 + 32.06 + 64.00
= 303.26 g/mol

Now, we can calculate the mass of PbSO4 containing 4500 kg of lead:
Mass of PbSO4 = (4500 kg / molar mass of PbSO4) * molar mass of PbSO4
= (4500 kg / 303.26 g/mol) * 303.26 g/mol
= 4500 * (g/mol / g/mol)
= 4500 g

To convert the result to kilograms:
Mass of PbSO4 in kilograms = 4500 g / 1000
= 4.5 kg

Therefore, the mass of PbSO4 that contains 4500 kg of lead is 4.5 kg.