Question

Balance the following reaction and use the equation to calculate the ΔHrxn.

C₃H₂(g) + O₂(g) -> CO₂(g) + H₂O(g)
Round your answer to the nearest whole number.

Answer 1

To balance the equation C₃H₂(g) + O₂(g) -> CO₂(g) + H₂O(g), follow these steps: count the number of each type of atom, add coefficients to balance the highest number of atoms, and continue balancing until all atoms are equal on both sides. The balanced equation is C₃H₂(g) + 5/2 O₂(g) -> 3 CO₂(g) + 2 H₂O(g). Unfortunately, the enthalpy change (ΔHrxn) is not provided.

Step-by-step explanation:

In order to balance the equation C₃H₂(g) + O₂(g) -> CO₂(g) + H₂O(g), we need to ensure that the number of atoms of each element is equal on both sides of the equation. Here are the steps to balance the equation:

1. Count the number of each type of atom on both sides of the equation. In this case, we have 3 carbon atoms, 2 hydrogen atoms, and 2 oxygen atoms on the left side, and 1 carbon atom, 2 hydrogen atoms, and 3 oxygen atoms on the right side.
2. Start by adding coefficients to the molecules with the highest number of atoms. In this case, we can balance the carbon atoms by placing a coefficient of 3 in front of CO₂ on the right side, giving us 3 carbon atoms on both sides.
3. Next, balance the hydrogen atoms by placing a coefficient of 2 in front of H₂O on the right side, giving us 4 hydrogen atoms on both sides.
4. Finally, balance the oxygen atoms by placing a coefficient of 5/2 in front of O₂ on the left side, giving us 5 oxygen atoms on both sides.

The balanced equation is: C₃H₂(g) + 5/2 O₂(g) -> 3 CO₂(g) + 2 H₂O(g)

Now that we have the balanced equation, we can calculate the enthalpy change (ΔHrxn) using the given equation. However, the enthalpy change for the reaction is not provided in the information given.