The ratio of number of oxygen atoms `(O)` in `16.0g` ozone `(O_(3)) . 28.0g` carbon monoxide `(CO)` and `16.0g` oxygen `(O_(2))` is :-
`("Atomic mass" : C=12,O=16 "and Avogadro's constant" N_(A) =6.0xx10^(23) "mol"^(-1))`

Options

A. `3:1:1`
B. `1:1:2`
C. `3:1:2`
D. `1:1:1`

Answer

To solve the problem, we need to calculate the number of oxygen atoms in each of the three substances: ozone (O₃), carbon monoxide (CO), and oxygen (O₂). We will then find the ratio of these quantities.

### Step 1: Calculate the number of moles of ozone (O₃)
- **Given:** Mass of ozone = 16.0 g
- **Molar mass of ozone (O₃)** = 3 × atomic mass of oxygen = 3 × 16 g/mol = 48 g/mol
- **Number of moles of O₃ (n)** = mass / molar mass = 16.0 g / 48 g/mol = 1/3 mol

### Step 2: Calculate the number of oxygen atoms in ozone (O₃)
- Each molecule of O₃ contains 3 oxygen atoms.
- **Number of oxygen atoms in O₃** = moles of O₃ × number of oxygen atoms per molecule × Avogadro's number
= (1/3 mol) × 3 × (6.022 × 10²³ atoms/mol) = 6.022 × 10²³ atoms

### Step 3: Calculate the number of moles of carbon monoxide (CO)
- **Given:** Mass of CO = 28.0 g
- **Molar mass of CO** = atomic mass of carbon + atomic mass of oxygen = 12 g/mol + 16 g/mol = 28 g/mol
- **Number of moles of CO (n)** = mass / molar mass = 28.0 g / 28 g/mol = 1 mol

### Step 4: Calculate the number of oxygen atoms in carbon monoxide (CO)
- Each molecule of CO contains 1 oxygen atom.
- **Number of oxygen atoms in CO** = moles of CO × number of oxygen atoms per molecule × Avogadro's number
= (1 mol) × 1 × (6.022 × 10²³ atoms/mol) = 6.022 × 10²³ atoms

### Step 5: Calculate the number of moles of oxygen (O₂)
- **Given:** Mass of O₂ = 16.0 g
- **Molar mass of O₂** = 2 × atomic mass of oxygen = 2 × 16 g/mol = 32 g/mol
- **Number of moles of O₂ (n)** = mass / molar mass = 16.0 g / 32 g/mol = 1/2 mol

### Step 6: Calculate the number of oxygen atoms in oxygen (O₂)
- Each molecule of O₂ contains 2 oxygen atoms.
- **Number of oxygen atoms in O₂** = moles of O₂ × number of oxygen atoms per molecule × Avogadro's number
= (1/2 mol) × 2 × (6.022 × 10²³ atoms/mol) = 6.022 × 10²³ atoms

### Step 7: Find the ratio of the number of oxygen atoms
Now we have:
- Number of oxygen atoms in O₃ = 6.022 × 10²³ atoms
- Number of oxygen atoms in CO = 6.022 × 10²³ atoms
- Number of oxygen atoms in O₂ = 6.022 × 10²³ atoms

Thus, the ratio of the number of oxygen atoms in O₃ : CO : O₂ is:
1 : 1 : 1

### Final Answer
The ratio of the number of oxygen atoms in 16.0 g ozone (O₃), 28.0 g carbon monoxide (CO), and 16.0 g oxygen (O₂) is **1:1:1**.

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