For The Reaction:$\[ 2 C_6H_5COOH + 15 O_2 \rightarrow 14 CO_2 + 6 H_2O \\]Which Of The Following Options Gives The Correct Product-to-product Ratio?A. \[$ CO_2 : H_2O = 14 : 6 \$\] B. \[$ CO_2 : H_2O = 6 : 14 \$\] C. \[$

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Understanding the Reaction

The given reaction is a combustion reaction involving benzoic acid (C6H5COOH). The reaction involves the oxidation of benzoic acid in the presence of oxygen (O2) to produce carbon dioxide (CO2) and water (H2O). The balanced chemical equation for this reaction is:

2C6H5COOH+15O2→14CO2+6H2O{ 2 C_6H_5COOH + 15 O_2 \rightarrow 14 CO_2 + 6 H_2O }

Analyzing the Options

To determine the correct product-to-product ratio, we need to analyze the balanced chemical equation. The equation shows that 2 moles of benzoic acid react with 15 moles of oxygen to produce 14 moles of carbon dioxide and 6 moles of water.

Option A: CO2 : H2O = 14 : 6

This option suggests that the ratio of carbon dioxide to water is 14:6. However, this ratio is not consistent with the balanced chemical equation. The equation shows that 14 moles of carbon dioxide are produced for every 6 moles of water, but the ratio is actually 14:6, not 6:14.

Option B: CO2 : H2O = 6 : 14

This option suggests that the ratio of carbon dioxide to water is 6:14. However, this ratio is also not consistent with the balanced chemical equation. The equation shows that 14 moles of carbon dioxide are produced for every 6 moles of water, not 6 moles of carbon dioxide for every 14 moles of water.

Option C: CO2 : H2O = 14 : 6

This option suggests that the ratio of carbon dioxide to water is 14:6, which is consistent with the balanced chemical equation. The equation shows that 14 moles of carbon dioxide are produced for every 6 moles of water, making this option the correct choice.

Conclusion

In conclusion, the correct product-to-product ratio for the given reaction is CO2 : H2O = 14 : 6. This ratio is consistent with the balanced chemical equation and reflects the stoichiometry of the reaction.

Balancing Chemical Equations

Balancing chemical equations is an essential skill in chemistry. It involves adjusting the coefficients of the reactants and products to ensure that the number of atoms of each element is the same on both the reactant and product sides of the equation.

Steps for Balancing Chemical Equations

  1. Write the unbalanced equation.
  2. Count the number of atoms of each element on both the reactant and product sides of the equation.
  3. Adjust the coefficients of the reactants and products to ensure that the number of atoms of each element is the same on both sides of the equation.
  4. Check the balanced equation to ensure that it is correct.

Example: Balancing the Equation for the Combustion of Methane

The unbalanced equation for the combustion of methane is:

CH4+O2→CO2+H2O{ CH_4 + O_2 \rightarrow CO_2 + H_2O }

To balance this equation, we need to adjust the coefficients of the reactants and products to ensure that the number of atoms of each element is the same on both sides of the equation.

Step 1: Count the Number of Atoms of Each Element

Element Reactant Side Product Side
C 1 1
H 4 2
O 2 3

Step 2: Adjust the Coefficients

To balance the equation, we need to adjust the coefficients of the reactants and products to ensure that the number of atoms of each element is the same on both sides of the equation.

CH4+2O2→CO2+2H2O{ CH_4 + 2 O_2 \rightarrow CO_2 + 2 H_2O }

Step 3: Check the Balanced Equation

The balanced equation shows that 1 mole of methane reacts with 2 moles of oxygen to produce 1 mole of carbon dioxide and 2 moles of water.

Importance of Balancing Chemical Equations

Balancing chemical equations is essential in chemistry because it allows us to:

  • Predict the products of a reaction: By balancing the equation, we can predict the products of a reaction and determine the stoichiometry of the reaction.
  • Calculate the amount of reactants and products: By balancing the equation, we can calculate the amount of reactants and products required for a reaction.
  • Understand the mechanism of a reaction: By balancing the equation, we can understand the mechanism of a reaction and determine the rate of the reaction.

Conclusion

Q: What is the purpose of balancing chemical equations?

A: The purpose of balancing chemical equations is to ensure that the number of atoms of each element is the same on both the reactant and product sides of the equation. This is essential in chemistry because it allows us to predict the products of a reaction, calculate the amount of reactants and products, and understand the mechanism of a reaction.

Q: How do I balance a chemical equation?

A: To balance a chemical equation, follow these steps:

  1. Write the unbalanced equation.
  2. Count the number of atoms of each element on both the reactant and product sides of the equation.
  3. Adjust the coefficients of the reactants and products to ensure that the number of atoms of each element is the same on both sides of the equation.
  4. Check the balanced equation to ensure that it is correct.

Q: What is the difference between a balanced and unbalanced chemical equation?

A: A balanced chemical equation has the same number of atoms of each element on both the reactant and product sides of the equation. An unbalanced chemical equation has a different number of atoms of each element on the reactant and product sides.

Q: How do I determine the product-to-product ratio of a reaction?

A: To determine the product-to-product ratio of a reaction, you need to balance the chemical equation and then count the number of moles of each product. The product-to-product ratio is then determined by dividing the number of moles of one product by the number of moles of the other product.

Q: What is the significance of the product-to-product ratio in a reaction?

A: The product-to-product ratio in a reaction is significant because it determines the amount of each product that is formed. It is also used to calculate the yield of a reaction and to determine the stoichiometry of the reaction.

Q: How do I calculate the yield of a reaction?

A: To calculate the yield of a reaction, you need to know the product-to-product ratio and the amount of reactants used. The yield is then calculated by multiplying the amount of reactants used by the product-to-product ratio.

Q: What is the difference between a limiting reactant and an excess reactant?

A: A limiting reactant is the reactant that is present in the smallest amount and determines the amount of product that can be formed. An excess reactant is the reactant that is present in excess and does not limit the amount of product that can be formed.

Q: How do I determine the limiting reactant in a reaction?

A: To determine the limiting reactant in a reaction, you need to know the amount of each reactant used and the product-to-product ratio. The limiting reactant is then determined by dividing the amount of each reactant by the product-to-product ratio.

Q: What is the significance of the limiting reactant in a reaction?

A: The limiting reactant in a reaction is significant because it determines the amount of product that can be formed. It is also used to calculate the yield of a reaction and to determine the stoichiometry of the reaction.

Conclusion

In conclusion, balancing chemical equations and determining the product-to-product ratio are essential skills in chemistry. By balancing chemical equations, we can predict the products of a reaction, calculate the amount of reactants and products, and understand the mechanism of a reaction. By determining the product-to-product ratio, we can calculate the yield of a reaction and determine the stoichiometry of the reaction.