U+F6-->UF6

If 8.4 g UF6 are recovered from 55 kg of ore, what is the weight % of uranium in the ore?
Answer in units of %

Convert 8.4g UF6 to U.

(8.4/molar mass UF6)*atomic mass U = ??
%U = (g U/mass sample)*100 = ??
Since U is in g remember to convert mass sample (55 kg) to grams, 55,000 g.

To calculate the weight percent of uranium in the ore, we need to determine the amount of uranium present in the 55 kg of ore and then express it as a percentage of the total weight.

Given:
Mass of UF6 recovered = 8.4 g
Mass of ore = 55 kg

First, we need to convert the mass of UF6 recovered from grams to kilograms since the mass of the ore is given in kilograms. We can do this by dividing the mass of UF6 recovered by 1000.

8.4 g รท 1000 = 0.0084 kg

Next, we need to determine the amount of uranium (U) present in 0.0084 kg of UF6. To do this, we need to calculate the molar mass of UF6, which is the sum of the atomic masses of uranium (U) and six fluorine (F) atoms.

Molar mass of UF6 = (1 * atomic mass of U) + (6 * atomic mass of F)

The atomic mass of uranium (U) is typically given as 238.03 g/mol.

Molar mass of UF6 = (1 * 238.03 g/mol) + (6 * atomic mass of F)

Now we need to calculate the atomic mass of fluorine (F). The atomic mass of fluorine is typically given as 19.00 g/mol.

Molar mass of UF6 = (1 * 238.03 g/mol) + (6 * 19.00 g/mol)

Calculate the molar mass of UF6:

Molar mass of UF6 = 238.03 g/mol + 114.00 g/mol

Molar mass of UF6 = 352.03 g/mol

Now, we can calculate the amount of uranium (U) in 0.0084 kg of UF6 using the molar mass and the following equation:

Amount of U = Mass of UF6 recovered / Molar mass of UF6

Amount of U = 0.0084 kg / 352.03 g/mol

To convert the mass of U to a percentage, we divide it by the total mass of the ore and multiply by 100:

Weight percent of U = (Amount of U / Mass of ore) * 100

Weight percent of U = (0.0084 kg / 55 kg) * 100

Weight percent of U = 0.01527 * 100

Weight percent of U = 1.527%

Therefore, the weight percent of uranium in the ore is 1.527%.