Phosphorus pentachloride is produced by the reaction between phosphine and chlorine gas. What mass of chlorine gas would be required to produce 0.015kg of phosphorus pentachloride?

write the balanced equation.

4Cl2 + PH3 >>> PCl5+ 3HCl

so you need 4 moles of Cl2 for each mole of PCl5.
moles PCl5= 15/(5*massCl+massP)
molesCl2=4*molesPCl5
massCl2= 70*molesCl2

I did this problem for Florence just about a dozen steps below last night about midnight.

I don't really get the steps

I don't get the steps

To determine the mass of chlorine gas required to produce 0.015kg of phosphorus pentachloride, we need to use the stoichiometry of the reaction between phosphine (PH3) and chlorine (Cl2).

The balanced chemical equation for the reaction is:

PH3 + 5Cl2 → PCl5

From the equation, we can see that it takes 5 moles of chlorine gas to produce 1 mole of phosphorus pentachloride. Therefore, we need to convert the mass of phosphorus pentachloride (0.015kg) to moles and then calculate the mass of chlorine gas required.

Step 1: Convert the mass of phosphorus pentachloride to moles.
To convert the mass of phosphorus pentachloride to moles, we need to know the molar mass of PCl5. The molar mass of PCl5 can be calculated by summing up the atomic masses of phosphorus (P) and chlorine (Cl).

Molar mass of P = 31.0 g/mol
Molar mass of 5Cl = (5 × 35.5) g/mol = 177.5 g/mol

Molar mass of PCl5 = 31.0 g/mol + 177.5 g/mol = 208.5 g/mol

Now we can convert the mass of PCl5 (0.015kg) to moles:

Moles of PCl5 = Mass of PCl5 / Molar mass of PCl5
Moles of PCl5 = 0.015kg / (0.2085 kg/mol) ≈ 0.0718 mol

Step 2: Calculate the mass of chlorine gas required.
From the balanced chemical equation, we know that 1 mole of PCl5 requires 5 moles of Cl2. Therefore, the mass of chlorine gas required can be calculated as follows:

Mass of Cl2 = Moles of PCl5 × (5 moles Cl2 / 1 mole PCl5) × Molar mass of Cl2

Molar mass of Cl2 = 2 × (35.5 g/mol) = 71.0 g/mol

Mass of Cl2 = 0.0718 mol × (5 moles Cl2 / 1 mole PCl5) × (71.0 g/mol)
Mass of Cl2 ≈ 25.47 g

Therefore, approximately 25.47 grams of chlorine gas would be required to produce 0.015kg of phosphorus pentachloride.