Equilibrium Concentration of NO in N2/O2 Mixture at 2000 K

In summary, the equilibrium concentration of NO in a N2/O2 mixture at 2000 K is important for determining the amount of NO produced, which is a harmful pollutant and a key component in the formation of smog and acid rain. The equilibrium concentration is directly proportional to temperature and is influenced by factors such as pressure, initial concentrations of N2 and O2, and the presence of other gases. It can be calculated using the equilibrium constant and studying it is crucial for understanding and controlling air pollution.
  • #1
jlc287
4
0
Considering the following N2+ O2= 2NO at 2000 K is 4.0 × 10-4. Consider an initial mixure of 10 moles of N2 and and one mole of O2.

How do I find the concentration of NO in the equilibrium mixture in ppm?

thank you:confused:
 
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  • #2
4.0 × 10-4
What is this? An equilibrium constant? You need to present the question clearly and show your attempt at solving it.
 
  • #3


To find the concentration of NO in the equilibrium mixture in ppm, we need to first calculate the total number of moles of gas in the mixture after the reaction reaches equilibrium. This can be done using the ideal gas law, assuming the volume and temperature remain constant:

PV = nRT

Where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

Since we are given the initial moles of N2 and O2, we can calculate the total number of moles as follows:

n(total) = 10 moles of N2 + 1 mole of O2 = 11 moles

Next, we need to determine the equilibrium constant (K) for the reaction at 2000 K. This can be done using the equation:

K = [NO]^2 / [N2][O2]

Where [NO], [N2], and [O2] represent the equilibrium concentrations of each gas. Since the equilibrium concentration of NO is given to be 4.0 × 10-4, we can rewrite the equation as:

4.0 × 10-4 = [N2][O2] / [NO]^2

Now, we can rearrange the equation to solve for [N2][O2]:

[N2][O2] = 4.0 × 10-4 * [NO]^2

Substituting in the equilibrium concentration of NO, we get:

[N2][O2] = 4.0 × 10-4 * (4.0 × 10-4)^2 = 6.4 × 10-11

Now, we can use this value to determine the equilibrium concentrations of N2 and O2 in the mixture. Since the initial moles of N2 and O2 are known, we can calculate their equilibrium concentrations using the following equation:

[N2] = [initial N2] - [N2 reacted]

[O2] = [initial O2] - [O2 reacted]

Since the reaction produces 2 moles of NO for every 1 mole of N2 and O2, we can determine the moles of each gas that reacted:

[N2] = 10 - (2 * [NO]) = 10 - (2 * 4.0 × 10-4) = 9.9992 moles

[O
 

Related to Equilibrium Concentration of NO in N2/O2 Mixture at 2000 K

1. What is the significance of the equilibrium concentration of NO in a N2/O2 mixture at 2000 K?

The equilibrium concentration of NO in a N2/O2 mixture at 2000 K is important because it determines the amount of NO that will be produced at a given temperature and composition of the mixture. This information is crucial for understanding and controlling the production of NO, which is a harmful pollutant and a key component in the formation of smog and acid rain.

2. How is the equilibrium concentration of NO affected by temperature?

The equilibrium concentration of NO is directly proportional to temperature, meaning that as the temperature increases, the amount of NO produced also increases. This is because the reaction that produces NO is endothermic, meaning it requires heat to proceed. Therefore, at higher temperatures, more NO is produced to maintain equilibrium.

3. What factors influence the equilibrium concentration of NO in a N2/O2 mixture?

The equilibrium concentration of NO in a N2/O2 mixture is affected by several factors, including temperature, pressure, and the initial concentrations of N2 and O2. The presence of other gases, such as water vapor, can also impact the equilibrium concentration of NO.

4. How is the equilibrium concentration of NO calculated?

The equilibrium concentration of NO can be calculated using the equilibrium constant for the reaction, which is based on the temperature and the initial concentrations of N2 and O2 in the mixture. This constant can be determined experimentally or calculated using thermodynamic principles.

5. Why is it important to study the equilibrium concentration of NO?

Studying the equilibrium concentration of NO is important for understanding and controlling air pollution. NO is a major contributor to smog and acid rain, which have harmful effects on human health and the environment. By understanding the factors that influence the equilibrium concentration of NO, we can develop strategies to reduce its production and mitigate its negative impacts.

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