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The human body needs at least 1.03 x 10-^2 mol O2 every minute. If all of this oxygen is used for the
cellular respiration reaction that breaks down glucose, how many grams of glucose does the human body
consume each minute?​

Respuesta :

nkirotedoreen46

Answer:

0.3093 g of glucose are consumed each minute by the body.

Explanation:

  • During cellular respiration glucose is broken down in presence of oxygen to yield energy, water and carbon dioxide.
  • The equation for the reaction taking place during cellular respiration is;

C₆H₁₂O₆ + 6O₂ → 6H₂O + 6CO₂

We are required to calculate the amount of glucose in grams;

Step 1: Calculate the moles of glucose broken down

From the equation, the mole ratio of glucose to Oxygen is 1 : 6

Moles of Oxygen in a minute is 1.03 × 10^-2 moles

Therefore, moles of glucose will be;

= (1.03 × 10^-2)÷6

= 1.717 × 10^-3 moles

Step 2: Mass of glucose

Mass is given by multiplying the number of moles with molar mass

mass = moles × molar mass

Molar mass glucose is 180.156 g/mol

Therefore;

Mass = 1.717 × 10^-3 × 180.156 g/mol

         = 0.3093 g

Hence, 0.3093 g of glucose are consumed each minute by the body.

The mass of glucose the human body consumes each minute is 0.31 g

Stoichiometry applications  

From the question, we are to determine the mass of glucose the human body consume each minute

First, we will write the equation for the reaction

The balanced chemical equation for cellular respiration is

C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O

This means 1 mole of glucose is broken down by 6 moles of oxygen

From the given information,

The number of moles of oxygen the human body needs for each minute is 1.03 × 10⁻² mole

Now, we will determine the number of moles of glucose this amount of oxygen would break down

If, 1 mole of glucose is broken down by 6 moles of oxygen

Then,

x mole of glucose would be broken down by 1.03 × 10⁻²  mole of oxygen

x = [tex]\frac{1.03 \times 10^{-2} }{6}[/tex] mole

x = 1.7167 × 10⁻³ mole

∴ The number of moles of glucose that would be broken down each minute is 1.7167 × 10⁻³ mole

Now, for the mass of glucose the body consumes each minute,

Using the formula,

Mass = Number of moles × Molar mass

Molar mass of glucose = 180.156 g/mol

Then,

Mass of glucose consumed each minute = 1.7167 × 10⁻³ × 180.156

Mass of glucose consumed each minute = 0.3092678 g

Mass of glucose consumed each minute ≅ 0.31 g

Hence, the mass of glucose the human body consumes each minute is 0.31 g

Learn more on Stoichiometry applications here: https://brainly.com/question/27115677