Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

methanol (ch₃oh) can be used to prevent certain liquids from freezing i…

Question

methanol (ch₃oh) can be used to prevent certain liquids from freezing in cold weather. methanol is produced when carbon monoxide (co) and hydrogen gas (h₂) react. which model accurately represents this reaction?

Explanation:

Step1: Write the balanced chemical equation

The chemical formula for carbon monoxide is \(CO\), for hydrogen gas is \(H_{2}\), and for methanol is \(CH_{3}OH\). The balanced chemical equation for the formation of methanol from carbon monoxide and hydrogen gas is \(CO + 2H_{2}
ightarrow CH_{3}OH\).

Step2: Analyze the number of each type of atom in reactants and products

  • Carbon (\(C\)): In \(CO\) (reactant), there is \(1\) \(C\) atom. In \(CH_{3}OH\) (product), there is \(1\) \(C\) atom.
  • Oxygen (\(O\)): In \(CO\) (reactant), there is \(1\) \(O\) atom. In \(CH_{3}OH\) (product), there is \(1\) \(O\) atom.
  • Hydrogen (\(H\)): In \(2H_{2}\) (reactant), there are \(2\times2 = 4\) \(H\) atoms. In \(CH_{3}OH\) (product), there are \(3 + 1=4\) \(H\) atoms.

Now, let's analyze the models:

  • The first model has \(1\) \(CO\) molecule (\(1\) \(C\) and \(1\) \(O\)) and \(1\) \(H_{2}\) molecule (\(2\) \(H\)). The number of \(H\) atoms is not balanced as per the equation \(CO + 2H_{2}

ightarrow CH_{3}OH\).

  • The second model has \(2\) \(CO\) molecules (\(2\) \(C\) and \(2\) \(O\)) and \(1\) \(H_{2}\) molecule (\(2\) \(H\)). The number of \(C\) and \(O\) atoms is not balanced.
  • The third model has \(1\) \(CO\) molecule (\(1\) \(C\) and \(1\) \(O\)) and \(2\) \(H_{2}\) molecules (\(4\) \(H\)). This matches the reactants in the balanced equation \(CO + 2H_{2}

ightarrow CH_{3}OH\).

  • The fourth model has \(2\) \(CO\) molecules (\(2\) \(C\) and \(2\) \(O\)) and \(2\) \(H_{2}\) molecules (\(4\) \(H\)). The number of \(C\) and \(O\) atoms is not balanced.

Answer:

The third model (the one with one \(CO\) molecule and two \(H_{2}\) molecules as reactants) accurately represents the reaction \(CO + 2H_{2}
ightarrow CH_{3}OH\).