Find the no. of moles of `O_2` present in 2.01x`10^23` molecules of oxygen gas?

Options

A. 0.33
B. 33.3
C. 3.33
D. 0.033

Explanation

To find the number of moles of \( O_2 \) present in \( 2.01 \times 10^{23} \) molecules of oxygen gas, we can follow these steps:

### Step 1: Understand the relationship between moles and molecules
We know that one mole of any substance contains Avogadro's number of particles (molecules, atoms, etc.), which is approximately \( 6.02 \times 10^{23} \).

### Step 2: Set up the equation
To find the number of moles (\( n \)) from the number of molecules (\( N \)), we can use the formula:
\[ n = \frac{N}{N_A} \]
where \( N_A \) is Avogadro's number (\( 6.02 \times 10^{23} \)).

### Step 3: Substitute the values
Given:
- \( N = 2.01 \times 10^{23} \)
- \( N_A = 6.02 \times 10^{23} \)

Substituting these values into the equation gives:
\[ n = \frac{2.01 \times 10^{23}}{6.02 \times 10^{23}} \]

### Step 4: Simplify the calculation
Now, we can simplify the fraction:
\[ n = \frac{2.01}{6.02} \]

### Step 5: Perform the division
Calculating the division:
\[ n \approx 0.333 \]

### Conclusion
Thus, the number of moles of \( O_2 \) present in \( 2.01 \times 10^{23} \) molecules of oxygen gas is approximately \( 0.333 \) moles.

### Final Answer
The number of moles of \( O_2 \) is \( 0.333 \).

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