A gas is found to contains 2.34 gm of nitrogen and 5.34 gm of
oxygen simplest formula of the compound is :-

Options

A. `N_(2)O`
B. NO
C. `N_(2)O_(3)`
D. `NO_(2)`

Explanation

To find the simplest formula of the compound containing nitrogen and oxygen, we can follow these steps:

### Step 1: Determine the mass of each element
We are given:
- Mass of nitrogen (N) = 2.34 g
- Mass of oxygen (O) = 5.34 g

### Step 2: Find the atomic weights of the elements
The atomic weights are:
- Atomic weight of nitrogen (N) = 14 g/mol
- Atomic weight of oxygen (O) = 16 g/mol

### Step 3: Calculate the number of moles of each element
To find the number of moles, we use the formula:
\[ \text{Number of moles} = \frac{\text{mass (g)}}{\text{atomic weight (g/mol)}} \]

For nitrogen:
\[ \text{Moles of N} = \frac{2.34 \text{ g}}{14 \text{ g/mol}} = 0.167 \text{ mol} \]

For oxygen:
\[ \text{Moles of O} = \frac{5.34 \text{ g}}{16 \text{ g/mol}} = 0.334 \text{ mol} \]

### Step 4: Find the simplest mole ratio
Now, we need to find the ratio of the moles of nitrogen to the moles of oxygen:
- The smallest number of moles is 0.167 (for nitrogen).

Now, we divide the number of moles of each element by the smallest number of moles:
\[ \text{Ratio of N} = \frac{0.167}{0.167} = 1 \]
\[ \text{Ratio of O} = \frac{0.334}{0.167} \approx 2 \]

### Step 5: Write the simplest formula
From the ratios, we find that the simplest formula can be represented as:
\[ \text{N}_1\text{O}_2 \rightarrow \text{NO}_2 \]

### Final Answer
The simplest formula of the compound is **NO₂**.

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