1120 ml of ozonised oxygen at s.t.p weigh 1.76g.calculate the volume of oxygen in the ozonised oxygen

To find the volume of oxygen in ozonised oxygen, we first need to understand the composition of ozonised oxygen. Ozonised oxygen is a mixture of oxygen (O2) and ozone (O3). The total weight of the ozonised oxygen is given, and we can use this information to calculate the volume of the oxygen component.

Step-by-Step Calculation

1. Determine the Molar Masses

First, we need to know the molar masses of oxygen and ozone:

• Molar mass of O2 (oxygen) = 32 g/mol
• Molar mass of O3 (ozone) = 48 g/mol

2. Calculate the Total Moles of Ozonised Oxygen

At standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters (or 22400 ml). We can calculate the total moles of the ozonised oxygen using its weight:

Weight of ozonised oxygen = 1.76 g

Using the formula:

Moles = Weight / Molar Mass

We need to find the average molar mass of the ozonised oxygen mixture. Let's denote the fraction of oxygen as x and the fraction of ozone as (1 - x). The average molar mass can be expressed as:

Average Molar Mass = 32x + 48(1 - x) = 48 - 16x

3. Set Up the Equation

Now, we can set up the equation for the total moles:

Moles of Ozonised Oxygen = Weight / Average Molar Mass

Substituting the known values:

1.76 g = Moles × (48 - 16x)

4. Calculate the Volume of Oxygen

To find the volume of oxygen in the ozonised oxygen, we need to express the volume in terms of the moles of O2. The volume of oxygen can be calculated using the ideal gas law at STP:

Volume = Moles × 22400 ml

Now, we need to find the value of x (the fraction of oxygen). If we assume a certain percentage of ozone, we can solve for x. For example, if we assume that the ozonised oxygen is 10% ozone (0.1), then:

Average Molar Mass = 32(0.9) + 48(0.1) = 28.8 g/mol

Now we can calculate the moles:

Moles = 1.76 g / 28.8 g/mol = 0.0611 moles

Then, the volume of oxygen can be calculated as:

Volume of O2 = 0.0611 moles × 22400 ml/mole = 1373.44 ml

Final Thoughts

In this example, we assumed a certain percentage of ozone to calculate the volume of oxygen. The actual percentage of ozone in the ozonised oxygen would affect the final volume of oxygen calculated. If you have specific data on the composition of the ozonised oxygen, you can adjust the calculations accordingly. This method illustrates how to approach the problem logically and systematically.