Question

complete the chemical equation so that it supports the law of conservation of matter. (2 points)
☑️ co₂ + 6h₂o --> ☑️ c₆h₁₂o₆ + 6o₂
evaluate the following statements about the law of conservation of matter and mark if they are true or false. (2 points)

	true	false
if you add up all the atoms of one element in the reactants and atoms of that same element in the products you will have the same number.	○	○
matter cannot be created or destroyed, just rearranged.	○	○
magicians can make matter just by waving their hand.	○	○

Explanation:

Part 1: Completing the Chemical Equation

To balance the equation \( \text{CO}_2 + 6\text{H}_2\text{O}
ightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2 \), we check the number of each atom:

• Carbon (C): Reactants have 1 C (from \( \text{CO}_2 \)), products have 6 C (from \( \text{C}_6\text{H}_{12}\text{O}_6 \)). So we need a coefficient of 6 for \( \text{CO}_2 \).
• Hydrogen (H): Reactants have \( 6 \times 2 = 12 \) H (from \( 6\text{H}_2\text{O} \)), products have 12 H (from \( \text{C}_6\text{H}_{12}\text{O}_6 \))—balanced.
• Oxygen (O): Reactants: \( 6 \times 2 + 6 \times 1 = 18 \) O (from \( 6\text{CO}_2 \) and \( 6\text{H}_2\text{O} \)). Products: \( 6 \times 1 + 6 \times 2 = 18 \) O (from \( \text{C}_6\text{H}_{12}\text{O}_6 \) and \( 6\text{O}_2 \))—balanced.

Thus, the balanced equation is \( \boldsymbol{6\text{CO}_2 + 6\text{H}_2\text{O}
ightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2} \) (the first box gets 6, the second box gets 1, but since \( \text{C}_6\text{H}_{12}\text{O}_6 \) has no coefficient shown initially, it’s 1).

Part 2: Evaluating Statements (Law of Conservation of Matter)

The Law of Conservation of Matter states: Matter cannot be created or destroyed in a chemical reaction—only rearranged. Atoms are conserved (same number of each element in reactants and products).

1. “During a chemical reaction matter is produced from nothing.”

• False (matter cannot be created from nothing).

1. “If you add up all the atoms of one element in the reactants and atoms of that same element in the products you will have the same number.”

• True (atoms are conserved in reactions).

1. “Matter cannot be created or destroyed, just rearranged.”

• True (defines the Law of Conservation of Matter).

1. “Magicians can make matter just by waving their hand.”

• False (matter cannot be created; magic is illusion, not science).

Final Answers

• Balanced Equation: \( 6\text{CO}_2 + 6\text{H}_2\text{O}

ightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2 \) (first box: 6, second box: 1).

• Statement Evaluations:
• “During a chemical reaction matter is produced from nothing”: False
• “If you add up all the atoms...”: True
• “Matter cannot be created or destroyed...”: True
• “Magicians can make matter...”: False

Answer:

Part 1: Completing the Chemical Equation

To balance the equation \( \text{CO}_2 + 6\text{H}_2\text{O}
ightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2 \), we check the number of each atom:

• Carbon (C): Reactants have 1 C (from \( \text{CO}_2 \)), products have 6 C (from \( \text{C}_6\text{H}_{12}\text{O}_6 \)). So we need a coefficient of 6 for \( \text{CO}_2 \).
• Hydrogen (H): Reactants have \( 6 \times 2 = 12 \) H (from \( 6\text{H}_2\text{O} \)), products have 12 H (from \( \text{C}_6\text{H}_{12}\text{O}_6 \))—balanced.
• Oxygen (O): Reactants: \( 6 \times 2 + 6 \times 1 = 18 \) O (from \( 6\text{CO}_2 \) and \( 6\text{H}_2\text{O} \)). Products: \( 6 \times 1 + 6 \times 2 = 18 \) O (from \( \text{C}_6\text{H}_{12}\text{O}_6 \) and \( 6\text{O}_2 \))—balanced.

Thus, the balanced equation is \( \boldsymbol{6\text{CO}_2 + 6\text{H}_2\text{O}
ightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2} \) (the first box gets 6, the second box gets 1, but since \( \text{C}_6\text{H}_{12}\text{O}_6 \) has no coefficient shown initially, it’s 1).

Part 2: Evaluating Statements (Law of Conservation of Matter)

The Law of Conservation of Matter states: Matter cannot be created or destroyed in a chemical reaction—only rearranged. Atoms are conserved (same number of each element in reactants and products).

1. “During a chemical reaction matter is produced from nothing.”

• False (matter cannot be created from nothing).

1. “If you add up all the atoms of one element in the reactants and atoms of that same element in the products you will have the same number.”

• True (atoms are conserved in reactions).

1. “Matter cannot be created or destroyed, just rearranged.”

• True (defines the Law of Conservation of Matter).

1. “Magicians can make matter just by waving their hand.”

• False (matter cannot be created; magic is illusion, not science).

Final Answers

• Balanced Equation: \( 6\text{CO}_2 + 6\text{H}_2\text{O}

ightarrow \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2 \) (first box: 6, second box: 1).

• Statement Evaluations:
• “During a chemical reaction matter is produced from nothing”: False
• “If you add up all the atoms...”: True
• “Matter cannot be created or destroyed...”: True
• “Magicians can make matter...”: False