How many grams of pure uranium can theoretically be extracted from a 10.0 kg sample of pitchblende, which is 92.0% UO2? Im not looking for the answer. I would just like to know the formula to solve the problem.
To calculate the number of grams of pure uranium that can be extracted from a sample of pitchblende, you can use the following steps:
1. Convert the percentage of UO2 in pitchblende to the actual amount in grams.
2. Determine the molar mass of UO2 to calculate the amount of uranium in the UO2 compound.
3. Use the molar mass of uranium to calculate the amount of pure uranium.
Please note that these steps will provide you with the formula. To obtain the answer, you will need to perform the necessary calculations.
To find the number of grams of pure uranium that can be extracted from a 10.0 kg sample of pitchblende, you can use the following formula:
Grams of pure uranium = (Total mass) × (Percentage purity)
In this case, the total mass is 10.0 kg, and the percentage purity of uranium in the pitchblende is 92.0%. So, the formula becomes:
Grams of pure uranium = 10.0 kg × 0.92
To solve the problem, you multiply the total mass (in kilograms) by the percentage purity (converted to a decimal format) to find the grams of pure uranium that can be extracted from the sample.
Since it's only 92% UO2 then you have only 10 kg x 0.92 = ?kg UO2.
Convert that many kg UO2 to ? kg U.
That's ?kg UO2 x (atomic mass U/molar mass UO2) = ? kg of U.