A gaseous mixture contains CO2 and CO the mass of the mixture is 200g and they are presenting equal fraction of moles . Find the total no. of O-atoms present in the mixture.

To determine the total number of oxygen atoms in a gaseous mixture of carbon dioxide (CO2) and carbon monoxide (CO), we can start by analyzing the composition of the mixture and the molecular formulas of the gases involved. Since the mass of the mixture is given as 200 grams and both gases are present in equal mole fractions, we can proceed step by step.

Understanding the Components

First, let's break down the molecular weights of the gases:

• Carbon Dioxide (CO2): The molecular weight is calculated as follows:
  • Carbon (C) = 12 g/mol
  • Oxygen (O) = 16 g/mol × 2 = 32 g/mol
  • Total = 12 + 32 = 44 g/mol
• Carbon Monoxide (CO): The molecular weight is:
  • Carbon (C) = 12 g/mol
  • Oxygen (O) = 16 g/mol
  • Total = 12 + 16 = 28 g/mol

Calculating Moles of Each Gas

Since the gases are present in equal fractions of moles, we can denote the number of moles of CO2 as \( n \) and the number of moles of CO as \( n \) as well. Therefore, the total number of moles in the mixture is \( 2n \).

The total mass of the mixture can be expressed as:

Mass of CO2 + Mass of CO = 200 g

Using the formula for mass (mass = moles × molar mass), we can write:

44n + 28n = 200

Combining the terms gives us:

72n = 200

Now, solving for \( n \):

n = 200 / 72 ≈ 2.78 moles

Finding the Number of Oxygen Atoms

Next, we need to determine the number of oxygen atoms in the mixture. Each molecule of CO2 contains 2 oxygen atoms, while each molecule of CO contains 1 oxygen atom. Therefore, the total number of oxygen atoms can be calculated as follows:

• Oxygen atoms from CO2 = 2n = 2 × 2.78 ≈ 5.56
• Oxygen atoms from CO = 1n = 1 × 2.78 ≈ 2.78

Now, adding these together gives us the total number of oxygen atoms:

Total oxygen atoms = 5.56 + 2.78 ≈ 8.34

Final Calculation of Total Oxygen Atoms

Since we are interested in the total number of oxygen atoms, we can round this to the nearest whole number, as we typically deal with whole atoms in chemistry. Thus, the total number of oxygen atoms present in the mixture is approximately 8.

In summary, the gaseous mixture of CO2 and CO, with a total mass of 200 grams and equal mole fractions, contains about 8 oxygen atoms. This approach illustrates how to use molecular weights and stoichiometry to solve problems involving gas mixtures effectively.