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13.24. A chemically reactive system contains the following species in the gas phase: N*H_{3} , NO, N*O_{2} O_{2} and H_{2}*O Determine a complete set of independent reactions for this system. How many degrees of freedom does the system have?

User Atomiklan
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Based on the species involved and their possible reactions, the system has six degrees of freedom.

How many degrees of freedom does the system have?

To determine the complete set of independent reactions for the given chemically reactive system, consider the species involved and their possible reactions.

Based on the provided information, the species in the gas phase are:

NH3 (Ammonia)

NO (Nitric oxide)

NO2 (Nitrogen dioxide)

O2 (Oxygen)

H2O (Water)

Possible reactions involving these species could include:

NH3 + O2 -> NO + H2O

2NO + O2 -> 2NO2

2NO2 -> 2NO + O2

4NH3 + 5O2 -> 4NO + 6H2O

These are just a few examples of possible reactions involving the given species. The complete set of independent reactions would depend on the specific conditions, temperature, and other factors.

To determine the degrees of freedom of the system, use the Gibbs phase rule, which is given by the equation:

F = C - P + 2

Where F represents the degrees of freedom, C is the number of components, and P is the number of phases.

In this case, we have five species (NH3, NO, NO2, O2, H2O), so C = 5. Since all the species are in the gas phase, we have only one phase, so P = 1.

Plugging these values into the equation:

F = 5 - 1 + 2

F = 6

Therefore, the system has six degrees of freedom.

User Thorin Schiffer
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