Calculate the oxygen and air required for complete combustion of 1 kg of carbon||Reaction of C & O2.

calculate the oxygen and air required for complete combustion of 1 kg of carbon?
How much CO2 is produced by 1 kg of carbon?
How many kg of air required for 1 kg carbon combustion?
Reaction of carbon and Oxygen.
coal combustion calculations

Let's break down the calculation step by step.

1. Molecular Weights
Carbon (C): 12 kg/kmol
This is the atomic mass of carbon, which is a fundamental constant in chemistry.
It represents the mass of 1 mole (or 6.022 x 10^23 atoms) of carbon.
Oxygen (O2): 32 kg/kmol
This is the molecular mass of oxygen gas, which consists of 2 oxygen atoms.
The atomic mass of oxygen is 16 kg/kmol, so the molecular mass of O2 is 2 x 16 = 32 kg/kmol.

2. Oxygen Required Calculation
1 kg C × (32 kg O2 / 12 kg C) = 2.67 kg O2
This calculation is based on the stoichiometry of the reaction: C + O2 → CO2.
The ratio of carbon to oxygen is 12:32 (or 1:2.67) based on their molecular weights.
So, for every 1 kg of carbon, we need 2.67 kg of oxygen for complete combustion.

3. Air Required Calculation
Air is approximately 23.3% oxygen by mass.
This is a known constant, representing the mass fraction of oxygen in air.
Air is a mixture of gases, primarily consisting of nitrogen (~76.7%) and oxygen (~23.3%).
2.67 kg O2 / 0.233 = 11.46 kg air
To find the mass of air required, we divide the mass of oxygen required by the mass fraction of oxygen in air (0.233).
This calculation gives us the total mass of air needed to provide the required amount of oxygen.

4. Result
Oxygen required: 2.67 kg
This is the mass of oxygen needed for complete combustion of 1 kg of carbon.
Air required: approximately 11.46 kg
This is the mass of air needed to provide the required amount of oxygen for complete combustion of 1 kg of carbon.


Let's look at the masses:

1 mole of carbon: 12 grams or 0.012 kg

1 mole of oxygen (O2): 32 grams or 0.032 kg

So, the masses are:

Carbon: 0.012 kg
Oxygen: 0.032 kg


Given the reaction C + O2 → CO2:

1 mole of C (12 g) reacts with 1 mole of O2 (32 g) to produce 1 mole of CO2 (44 g).

This confirms the 1:1 mole ratio between carbon and oxygen in the combustion reaction.


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