The empirical and molecular formula of sucrose is same

Answer

To determine whether the statement "The empirical and molecular formula of sucrose is the same" is true, we will follow these steps:

### Step 1: Identify the molecular formula of sucrose.
The molecular formula of sucrose is given as \( C_{12}H_{22}O_{11} \).

### Step 2: Determine the ratio of the elements in the molecular formula.
From the molecular formula \( C_{12}H_{22}O_{11} \), we can see the number of each type of atom:
- Carbon (C): 12
- Hydrogen (H): 22
- Oxygen (O): 11

### Step 3: Find the simplest ratio of the elements.
To find the simplest ratio, we need to divide the number of each atom by the greatest common divisor (GCD) of the numbers 12, 22, and 11.
- The GCD of 12, 22, and 11 is 1 (since they have no common factors other than 1).
- Therefore, the simplest ratio remains \( C_{12}H_{22}O_{11} \).

### Step 4: Write the empirical formula.
Since the simplest ratio of the elements in sucrose cannot be simplified further, the empirical formula is the same as the molecular formula:
- Empirical formula: \( C_{12}H_{22}O_{11} \).

### Step 5: Conclusion.
Since the empirical formula \( C_{12}H_{22}O_{11} \) is the same as the molecular formula \( C_{12}H_{22}O_{11} \), the statement "The empirical and molecular formula of sucrose is the same" is true.