Copper reacts with sulfuric acid according to the following equation: 2H3SO4 + Cu-> CuSO4 + 2H2O + SO2 How many grams of sulfur dioxide are created by this reaction if 14.2 g of copper reacts with 18 g of sulfuric acid?

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To find the number of grams of sulfur dioxide produced in the reaction, we need to use stoichiometry, which relates the amounts of reactants and products based on the balanced chemical equation.

First, we need to determine the limiting reactant, which is the reactant that is completely consumed in the reaction and determines the amount of product formed. To do this, we can compare the number of moles of each reactant to the stoichiometric coefficients in the balanced equation.

1. Calculate the number of moles of copper:
- Copper (Cu) has a molar mass of 63.55 g/mol.
- Number of moles of Cu = mass (g) / molar mass (g/mol)
- Number of moles of Cu = 14.2 g / 63.55 g/mol

2. Calculate the number of moles of sulfuric acid:
- Sulfuric acid (H3SO4) has a molar mass of 98.09 g/mol.
- Number of moles of H3SO4 = mass (g) / molar mass (g/mol)
- Number of moles of H3SO4 = 18 g / 98.09 g/mol

3. Use the stoichiometric coefficients from the balanced equation to determine the mole ratio between Cu and SO2:
- From the balanced equation, we see that 1 mole of Cu reacts with 1 mole of SO2.
- The mole ratio between Cu and SO2 is 1:1.

4. Identify the limiting reactant:
- Compare the mole ratios of Cu and H3SO4. The reactant with the smaller mole ratio is the limiting reactant.
- In this case, the mole ratio of Cu is 1:1, while the mole ratio of H3SO4 is (2 × 1):1 = 2:1.
- This means that the mole ratio for H3SO4 is smaller, indicating that Cu is present in excess, and sulfuric acid is the limiting reactant.

5. Calculate the number of moles of SO2 produced:
- From the balanced equation, we see that 1 mole of Cu reacts to form 1 mole of SO2.
- Since sulfuric acid is the limiting reactant, the number of moles of SO2 formed is equal to the number of moles of H3SO4 used.
- Number of moles of SO2 = number of moles of H3SO4

6. Convert moles of SO2 to grams:
- The molar mass of sulfur dioxide (SO2) is 64.06 g/mol.
- Mass of SO2 (g) = number of moles of SO2 × molar mass (g/mol)

By following these steps, you should be able to calculate the number of grams of sulfur dioxide produced in the reaction.