High School

The amount of arsenic pentasulfide that can be obtained when 35.5 g of arsenic acid is treated with excess [tex]$H_2S$[/tex] in the presence of concentrated [tex]$HCl$[/tex] (assuming 100% conversion) is:

a) 37.0 g
b) 35.5 g
c) 36.5 g
d) 38.0 g

Answer :

Final answer:

The amount of arsenic pentasulphide obtained when 35.5 g arsenic acid is treated with excess H2S in the presence of conc. HCl is 60.5 g.

Explanation:

The reaction given is:

As2O5 + 5H2S -> 2As2S5 + 5H2O

From the balanced equation, we can see that 1 mol of As2O5 reacts with 5 mol of H2S to produce 2 mol of As2S5. Therefore, the molar ratio between As2O5 and As2S5 is 1:2. To find the amount of As2S5 produced, we need to calculate the moles of As2O5 first:

Moles of As2O5 = mass / molar mass = 35.5 g / (2 x 2 x 16 + 5 x 32) g/mol = 35.5 g / 296 g/mol = 0.12 mol

Since the molar ratio between As2O5 and As2S5 is 1:2, the moles of As2S5 produced will be twice the moles of As2O5:

Moles of As2S5 = 2 x 0.12 mol = 0.24 mol

To calculate the mass of As2S5 produced, we can use the formula:

Mass of As2S5 = moles x molar mass = 0.24 mol x (2 x 2 x 32 + 5 x 32) g/mol = 0.24 mol x 252 g/mol = 60.5 g

Therefore, the amount of arsenic pentasulphide obtained is 60.5 g. None of the given options match this value, so none of the provided options are correct.