How many kilograms of HF are needed to react with 3.76kg of UO2

1.115 Kg of HF needed to react with UO₂.

Explanation:

Given dа ta:

Mass of UO₂ = 3.76 Kg (3.76 * 1000 = 3760 g)

Mass of HF = ?

Solution:

First of all we will write the balance chemical equation.

UO₂ (g) + 4HF (g) → UF₄ (g) + 2H₂O (l)

Now we will calculate the number of moles of UO₂.

Number of moles = mass / molar mass

Molar mass of UO₂ = 270.03 g/mol

Number of moles = 3760 g / 270.03 g/mol = 13.9244 mol

Now we will compare the moles of HF and UO₂ from balance chemical equation.

UO₂ : HF

1 : 4

13.9244 : 4*13.9244 = 55.7 mol

Mass of HF = number of moles * molar mass

Mass of HF = 55.7 mol * 20.01 g/mol

Mass of HF = 1114.56 g

In kilogram:

1114.56 / 1000 = 1.115 Kg