How many grams of H2 can be produced by reaction of 1.80 g Al and 6.00 g H2SO4? 2 Al + 3 H2SO4 => Al2(SO4)3 + 3 H2 0.0617 0.101 0.312 0.122 0.202

Question

asked Mar 17, 2021 184k views

1 Answer

Jimx · Answer 1 · 2021-03-23T21:31:38+0000

Answer: The amount of hydrogen gas that could be produced by the chemical reaction is 0.122 grams

Step-by-step explanation:

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

$\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}$ .....(1)

Given mass of aluminium = 1.80 g

Molar mass of aluminium = 27 g/mol

Putting values in equation 1, we get:

$\text{Moles of aluminium}=(1.80g)/(27g/mol)=0.066mol$

Given mass of sulfuric acid = 6.00 g

Molar mass of sulfuric acid = 98 g/mol

Putting values in equation 1, we get:

$\text{Moles of sulfuric acid}=(6.00g)/(98g/mol)=0.061mol$

The given chemical equation follows:

$2Al+3H_2SO_4\rightarrow Al_2(SO_4)_3+3H_2$

By Stoichiometry of the reaction:

3 moles of sulfuric acid reacts with 2 moles of aluminium

So, 0.061 moles of sulfuric acid will react with =
(2)/(3)* 0.061=0.0408mol of aluminium

As, given amount of aluminium is more than the required amount. So, it is considered as an excess reagent.

Thus, sulfuric acid is considered as a limiting reagent because it limits the formation of product.

By Stoichiometry of the reaction:

3 moles of sulfuric acid produces 3 moles of hydrogen gas

So, 0.061 moles of sulfuric acid will produce =
(3)/(3)* 0.061=0.061moles of hydrogen gas

Now, calculating the mass of hydrogen gas from equation 1, we get:

Molar mass of hydrogen gas = 2 g/mol

Moles of hydrogen gas = 0.061 moles

Putting values in equation 1, we get:

$0.061mol=\frac{\text{Mass of hydrogen gas}}{2g/mol}\\\\\text{Mass of hydrogen gas}=(0.061mol* 2g/mol)=0.122g$

Hence, the amount of hydrogen gas that could be produced by the chemical reaction is 0.122 grams