1. Sulfuric acid is formed when sulfur dioxide gas reacts with oxygen gas and water. Write a balanced chemical equation for the reaction. If 12.5 mol sulfur dioxide reacts, how many mol of sulfuric acid can be produced and how many moles of oxygen gas is needed

Respuesta :

Answer:

1. Balanced chemical for the given chemical reaction is :

[tex]2SO_2(g) +O_2(g) +2H_2O(l) \rightarrow 2H_2SO_4(aq)[/tex]

number of mole of sulphuric acid produced = 12.5 mol

number of mole of oxygen required=6.25 mol

Explanation:

1. Balanced chemical for the given chemical reaction is :

[tex]2SO_2(g) +O_2(g) +2H_2O(l) \rightarrow 2H_2SO_4(aq)[/tex]

from above balanced equation it is clearly that ,

2 mole of sulpher dioxide gives 2 mole of sulphuric acid

1 mole of sulpher dioxide gives 1 mole of sulphuric acid

therefore,

12 .5 mole of sulpher dioxide will givs 12.5 mole of sulphuric acid

number of mole of sulphuric acid produced = 12.5 mol

2 mole of sulphur dioxide needs 1 mole of oxygen gas

so,

1 mole of sulphur dioxide needs 0.5 mole of oxygen gas

therefore 12.5 of sulphur dioxide needs [tex]12.5 \times 0.5[/tex]mole of oxygen

number of mole of oxygen required=6.25 mol

Answer:

Balanced Chemical Equation - 2 SO2 + O2 + 2 H2O -> 2 H2SO4

Number of moles of H2SO4 produced - 12.5 moles

Number of moles of O2 needed - 6.25 moles

Explanation:

The equation resulting from reading the problem is:

SO2 + O2 + H2O -> H2SO4

To balance this equation, there needs to be an equal amount of sulfur, oxygen, and hydrogen atoms on each side of the equation. The resulting balanced equation is:

2 SO2 + O2 + 2 H2O -> 2 H2SO4

To calculate the number of moles of H2SO4 produced from 12.5 moles of SO2, you need the mole ratio. To find the mole ratio, look at the balanced equation. For every 2 moles of SO2, 2 moles of H2SO4 is produced. Now take the number of moles from the question and multiply it by the mole ratio to get your answer:

12.5 mol SO2 × (2 mol H2SO4/2 mol SO2) = 12.5 mol H2SO4

The mol SO2 unit cancels each other out, leaving behind only the mol H2SO4 unit and the equation 12.5 × (2/2), which equals 12.5.

To calculate the number of moles of O2 needed to produce 12.5 moles of H2SO4, you'll need to find to mole ratio. For every 1 mole of O2, 2 moles of H2SO4 is produced. Since we don't know the number of moles of O2 needed, set up the following Equation:

x mol O2 × (2 mol H2SO4/1 mol O2) = 12.5 mol H2SO4

To get the value of x, divide both sides of the equation by (2 mol H2SO4/1 mol O2). The mol H2SO4 unit cancels each other out, leaving behind only the mol O2 and the equation 12.5/(2/1), which equals 6.25.