In cellular respiration, from 180 g of glucose which of the following is formed ?

Options

A. `264g CO_2 + 190 g H_2O + 686 Kcal`
B. `264g CO_2 + 108 g H_2O + 686 Kcal`
C. `390g CO_2 + 108 g H_2O + 391 Kcal`
D. `390g CO_2 + 264g H_2O + 391 Kcal`

Answer

To solve the question regarding the products formed from 180 g of glucose during cellular respiration, we can follow these steps:

### Step 1: Write the Balanced Equation for Cellular Respiration
The balanced equation for cellular respiration is:
\[ C_6H_{12}O_6 + 6O_2 \rightarrow 6CO_2 + 6H_2O + \text{Energy} \]

### Step 2: Determine the Molecular Weight of Glucose
The molecular formula for glucose is \( C_6H_{12}O_6 \). To find its molecular weight:
- Carbon (C) has an atomic weight of 12 g/mol. For 6 carbons: \( 6 \times 12 = 72 \) g/mol.
- Hydrogen (H) has an atomic weight of 1 g/mol. For 12 hydrogens: \( 12 \times 1 = 12 \) g/mol.
- Oxygen (O) has an atomic weight of 16 g/mol. For 6 oxygens: \( 6 \times 16 = 96 \) g/mol.

Adding these together gives:
\[ 72 + 12 + 96 = 180 \text{ g/mol} \]

### Step 3: Calculate the Products Formed
From the balanced equation, we know that 1 mole of glucose produces:
- 6 moles of carbon dioxide (CO₂)
- 6 moles of water (H₂O)

### Step 4: Calculate the Mass of Carbon Dioxide Produced
The molecular weight of carbon dioxide (CO₂) is:
- Carbon: 12 g/mol
- Oxygen: 16 g/mol (for 2 O): \( 2 \times 16 = 32 \) g/mol

Thus, the total weight of CO₂ is:
\[ 12 + 32 = 44 \text{ g/mol} \]
For 6 moles of CO₂:
\[ 6 \times 44 = 264 \text{ g} \]

### Step 5: Calculate the Mass of Water Produced
The molecular weight of water (H₂O) is:
- Hydrogen: 1 g/mol (for 2 H): \( 2 \times 1 = 2 \) g/mol
- Oxygen: 16 g/mol

Thus, the total weight of H₂O is:
\[ 2 + 16 = 18 \text{ g/mol} \]
For 6 moles of H₂O:
\[ 6 \times 18 = 108 \text{ g} \]

### Step 6: Summarize the Products
From 180 g of glucose, the products formed are:
- Carbon Dioxide: 264 g
- Water: 108 g
- Energy: 686 kcal

### Final Answer
From 180 g of glucose, 264 g of carbon dioxide and 108 g of water are formed.

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