# Calculating Carbon, Hydrogen Content in Solid Fuel

• GG!!
In summary, the problem given is about a solid fuel, assumed to be made of carbon and hydrogen, being burnt in air. An analysis of the dry products of combustion shows that oxygen comprises 5.45%, carbon dioxide comprises 10.71%, and nitrogen comprises 83.84%. The goal is to calculate the gravimetric air fuel ratio and the carbon and hydrogen content of the fuel by mass. The amount of air required for a certain amount of fuel has been calculated to be 30.6kg, but it is causing some problems. The question is whether the formula for this calculation is simply xCH2 + 0.21y02 + 0.79yN2. The original problem includes the percentages of
GG!!
Hi, I have the following problem, for which I am not sure if i should be making assumptions.

"a solid fuel assumed to consist of carbon and hydrogen only is burnt in air. an analysis of the dry products of combustion yields the following results: Oxygen, 02 = 5.45%
Carbon dioxide, CO2 = 10.71%
Nitrogen, N2 = 83.84%

I need to calculate gravimetric air fuel ratio, carbon & hydrogen content of fuel by mass.

Ive calculated the amount of air required to be 30.6kg for x kg of fuel, but the fuel is causing some problems?
Is the formula simply xCH2 + 0.21y02 + 0.79yN2??

Any help would be greatly appreciated.

Thanks

Last edited:
Please show us your approach for calculating the "amount of air" and show all of the information that was included in the original problem.

"

I would first like to commend you for seeking clarification and not assuming any information in your calculations. It is important to have accurate and reliable data in scientific research.

To calculate the gravimetric air fuel ratio, we need to first determine the mass of each component in the dry products of combustion. From the given results, we can see that the total mass of the dry products is 100%, since oxygen, carbon dioxide, and nitrogen make up 100% of the dry products. Therefore, we can calculate the mass of each component as follows:

Mass of oxygen = 5.45% of total mass = 5.45% * 30.6 kg = 1.67 kg
Mass of carbon dioxide = 10.71% of total mass = 10.71% * 30.6 kg = 3.28 kg
Mass of nitrogen = 83.84% of total mass = 83.84% * 30.6 kg = 25.63 kg

Now, to calculate the gravimetric air fuel ratio, we need to divide the mass of air by the mass of fuel. From the given information, we know that the mass of air is 30.6 kg. However, we do not have the mass of fuel, so we cannot calculate the gravimetric air fuel ratio at this point.

To calculate the carbon and hydrogen content of the fuel, we need to use the formula you mentioned: xCH2 + 0.21y02 + 0.79yN2. However, we need to find the values of x and y. To do so, we can use the information provided in the problem.

From the balanced combustion reaction, we know that for every mole of carbon in the fuel, we need one mole of oxygen to produce carbon dioxide. Similarly, for every 2 moles of hydrogen in the fuel, we need one mole of oxygen to produce water. Using this information, we can set up the following equations:

x + y = 10.71% (since carbon dioxide makes up 10.71% of the dry products)
2y = 5.45% (since oxygen makes up 5.45% of the dry products)

Solving these equations, we get x = 7.71% and y = 2.73%. Therefore, the formula for the fuel is 7.71%CH2 + 0.

## 1. How do you calculate the carbon and hydrogen content in solid fuel?

The carbon and hydrogen content in solid fuel can be calculated by using the ultimate analysis method. This involves determining the percentage of carbon and hydrogen in the fuel sample through laboratory testing.

## 2. What is the importance of calculating carbon and hydrogen content in solid fuel?

The carbon and hydrogen content in solid fuel is important because it affects the fuel's energy value and combustion efficiency. It also provides valuable information for the design and operation of fuel processing and combustion systems.

## 3. What factors can affect the accuracy of calculating carbon and hydrogen content in solid fuel?

The accuracy of calculating carbon and hydrogen content in solid fuel can be affected by factors such as sample preparation, testing method, and fuel composition. It is important to follow standardized procedures and use reliable testing methods to ensure accurate results.

## 4. Can carbon and hydrogen content in solid fuel vary within the same sample?

Yes, the carbon and hydrogen content in solid fuel can vary within the same sample depending on the location and composition of the fuel. This is why it is important to take representative samples and conduct multiple tests for accurate results.

## 5. How is the carbon and hydrogen content in solid fuel used in environmental impact assessments?

The carbon and hydrogen content in solid fuel is used in environmental impact assessments to determine the potential emissions of pollutants such as carbon dioxide and methane. This information is important for evaluating the environmental impact of using the fuel and developing emission control strategies.

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