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

Step-by-step explanation:

According to avogadro's law, 1 mole of every substance weighs equal to molecular mass and contains avogadro's number
`(6.023* 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=(2.50* 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 =
`(3)/(1)* 2.97=8.91moles` moles of U

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

( 1kg=1000g)

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