Question

What is the yield of uranium from 2.50 kg U3O8?

Answer 1

Answer: Thus the yield of uranium from 2.50 kg $U_3O_8$ is 2.12 kg

Explanation:

According to avogadro's law, 1 mole of every substance weighs equal to molecular mass and contains avogadro's number $(6.023\times 10^{23})$ of particles.

To calculate the number of moles, we use the equation:

$\text{Number of moles}=\frac{\text{Given mass}}{\text{molar mass}}$

moles of $U_3O_8=\frac{2.50\times 1000g}{842g/mol}=2.97mol$    (1kg=1000g)

As 1 mole of $U_3O_8$ contains = 3 moles of U

2.97 mole of $U_3O_8$ contains = $\frac{3}{1}\times 2.97=8.91moles$ moles of U

Mass of Uranium=$moles\times {\text {Molar mass}}=8.91mol\times 238g/mol=2120g=2.12kg$  

 ( 1kg=1000g)

Thus the yield of uranium from 2.50 kg $U_3O_8$ is 2.12 kg