Photosysthesis is a bio process by which plants make energy rich molecules from low energy molecules with the help of energy from sunlight . The photosysthesis of glucose can be represented as:
`6CO_(2(g))+ 6H_(2)O_(g) + hv rarr C_(5)H_(12)O_(6(s)) + 6O_(2)(g)..........(i)`
The energy of one mole of a photon of wave lenght is known as one Einstein.
Write balanced equation for the reaction of glucose with `O_(2)` in which `O_(2)` is converted to `H_(2)O`

Answer

To write the balanced equation for the reaction of glucose (C₆H₁₂O₆) with oxygen (O₂) where O₂ is converted to water (H₂O), we can follow these steps:

### Step 1: Write the unbalanced equation
The unbalanced equation for the combustion of glucose in the presence of oxygen is:
\[ \text{C}_6\text{H}_{12}\text{O}_6 + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O} \]

### Step 2: Identify the products
When glucose reacts with oxygen, it produces carbon dioxide (CO₂) and water (H₂O). The general form of the reaction is:
\[ \text{C}_6\text{H}_{12}\text{O}_6 + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O} \]

### Step 3: Balance the carbon atoms
In glucose, there are 6 carbon atoms. Therefore, we need 6 CO₂ molecules on the product side:
\[ \text{C}_6\text{H}_{12}\text{O}_6 + \text{O}_2 \rightarrow 6 \text{CO}_2 + \text{H}_2\text{O} \]

### Step 4: Balance the hydrogen atoms
There are 12 hydrogen atoms in glucose, which means we need 6 H₂O molecules to balance the hydrogen:
\[ \text{C}_6\text{H}_{12}\text{O}_6 + \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} \]

### Step 5: Balance the oxygen atoms
Now, we count the oxygen atoms on the product side. We have:
- From 6 CO₂: \(6 \times 2 = 12\) oxygen atoms
- From 6 H₂O: \(6 \times 1 = 6\) oxygen atoms
- Total: \(12 + 6 = 18\) oxygen atoms

On the reactant side, glucose contributes 6 oxygen atoms. Therefore, we need \(18 - 6 = 12\) oxygen atoms from O₂, which means we need 6 O₂ molecules:
\[ \text{C}_6\text{H}_{12}\text{O}_6 + 6 \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} \]

### Final Balanced Equation
The balanced equation for the reaction of glucose with oxygen is:
\[ \text{C}_6\text{H}_{12}\text{O}_6 + 6 \text{O}_2 \rightarrow 6 \text{CO}_2 + 6 \text{H}_2\text{O} \]

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