What is the minimum amount of 6.0 M H2SO4 necessary to produce 15.0 g of H2(g) according to the reaction? 2Al(s)+3H2SO4(aq)→Al2(SO4)3(aq)+3H2(g)

Respuesta :

Mol H2=15:2=7,5mol=molh2so4

=> Vmin=7,5:6=1,25liters

Answer:

1.25 Liters of 6.0 m solution sulfuric acid is required.

Explanation:

[tex]2Al(s)+3H_2SO_4(aq)\rightarrow Al_2(SO_4)_3(aq)+3H_2(g)[/tex]

Moles of hydrogen gas = [tex]\frac{15.0 g}{2 g/mol}= 7.5 mol[/tex]

According to reaction, 3 moles of hydrogen gas are obtained from 3 moles of sulfuric acid.

Then 7.5 moles of hydrogen will be obtained from:

[tex]\frac{3}{3}\times 7.5 mol=7.5 mol[/tex]

Moles of Sulfuric acid : 7.5 mol

Molarity of the sulfuric acid solution = 6.0 M

Volume of the solution = V

[tex]6.0 M=6.0 mol/L=\frac{7.5 mol}{V}[/tex]

[tex]V=\frac{7.5 mol}{6.0 mol/L}=1.25 L[/tex]