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jek_recluse [69]
3 years ago
13

Animals breathe oxygen and release carbon dioxide during cellular respiration according to the equation below. How much oxygen i

s needed to produce 120 grams of carbon dioxide?
Chemistry
2 answers:
romanna [79]3 years ago
7 0

Answer:

87.3 g

Explanation:

The cellular respiration can be represented through the following equation.

C₆H₁₂O₆ + 6 O₂ → 6 CO₂ + 6 H₂O

We can establish the following relations:

  • The molar mass of CO₂ is 44.01 g/mol.
  • The molar ratio of CO₂ to O₂ is 6:6.
  • The molar mass of O₂ is 32.00 g/mol.

The mass of O₂ that produces 120 g of CO₂ is:

120gCO_{2}.\frac{1molCO_{2}}{44.01gCO_{2}} .\frac{6molO_{2}}{6molCO_{2}} .\frac{32.00gO_{2}}{1molO_{2}} =87.3gO_{2}

kifflom [539]3 years ago
3 0

Answer:

14.544 g of oxygen is needed to produce 120 grams of carbon dioxide.

Explanation:

Animals take in oxygen and breathe out carbon dioxide during cellular respiration. The reaction for the metabolism of the food in the animal body is:

C_6H_{12}O_6 + O_2 \rightarrow 6CO_2 + 6H_2O + Energy

As can be seen from the reaction stoichiometry that:

<u>6 moles of carbon dioxide gas can be produced from 1 mole of oxygen gas in the process of metabolism of glucose.</u>

Also,

Given :

Mass of carbon dioxide gas = 120 g

Molar mass of carbon dioxide gas = 44 g/mol

The formula for the calculation of moles is shown below:

moles = \frac{Mass\ taken}{Molar\ mass}

Thus, moles of carbon dioxide are:

moles_{CO_2} = \frac{120 g}{44 g/mol}

moles_{CO_2} = 2.7273 mol

As mentioned:

<u>6 moles of carbon dioxide</u> gas can be produced from <u>1 mole of oxygen gas</u> in the process of metabolism of glucose.

<u>1 mole of carbon dioxide</u> gas can be produced from <u>1/6 mole of oxygen gas</u> in the process of metabolism of glucose.

<u>2.7273 mole of carbon dioxide</u> gas can be produced from <u>\frac{1}{6} \times 2.7273 moles of oxygen gas</u> in the process of metabolism of glucose.

Thus, moles of oxygen gas needed = 0.4545 moles

Molar mass of oxygen gas = 32 g/mol

The mass of oxygen gas can be find out by using mole formula as:

moles = \frac{Mass\ taken}{Molar\ mass}

Thus,

Mass\ of\ oxygen\ gas = Moles \times Molar mass}

Mass\ of\ oxygen\ gas = 0.4545 \times 32}

Mass\ of\ oxygen\ gas = 14.544 g

<u>14.544 g of oxygen is needed to produce 120 grams of carbon dioxide.</u>

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