Gaseous ammonia is injected into the exhaust stream of a...

Gaseous ammonia is injected into the exhaust stream of a coal- burning power plant to reduce the pollutant NO to $\mathrm{N}_{2}$ according to the reaction: $$4 \mathrm{NH}_{3}(g)+4 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \longrightarrow 4 \mathrm{N}_{2}(g)+6 \mathrm{H}_{2} \mathrm{O}(g)$$ Suppose that the exhaust stream of a power plant has a flow rate of 335 $\mathrm{L} / \mathrm{s}$ at a temperature of 955 $\mathrm{K}$ , and the exhaust contains a partial pressure of $\mathrm{NO}$ of 22.4 torr. What should be the flow rate of ammonia delivered at 755 torr and 298 $\mathrm{K}$ into the stream to react completely with the NO if the ammonia is 65.2$\%$ pure (by volume)?

Gaseous ammonia is injected into the exhaust stream of a coal- burning power plant to reduce the pollutant NO to $\mathrm{N}_{2}$ according to the reaction:
$$4 \mathrm{NH}_{3}(g)+4 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \longrightarrow 4 \mathrm{N}_{2}(g)+6 \mathrm{H}_{2} \mathrm{O}(g)$$
Suppose that the exhaust stream of a power plant has a flow rate of 335 $\mathrm{L} / \mathrm{s}$ at a temperature of 955 $\mathrm{K}$ , and the exhaust contains a partial pressure of $\mathrm{NO}$ of 22.4 torr. What should be the flow rate of ammonia delivered at 755 torr and 298 $\mathrm{K}$ into the stream to react completely with the NO if the ammonia is 65.2$\%$ pure (by volume)?

Key Concepts

Flow Rate Conversion

This concept involves converting volumetric flow rates from one set of conditions (temperature and pressure) to another. It is important when the input and output streams are under different conditions, ensuring that the calculated reactant amounts remain consistent with the reaction requirements.

Partial Pressure

Partial pressure refers to the pressure exerted by an individual gas within a mixture, and it is proportional to its mole fraction. This concept is essential in calculating the effective concentration of a reactant (such as NO) in a mixture, facilitating accurate stoichiometric calculations in gas-phase reactions.

Percentage Purity Adjustment

Percentage purity is the measure of how much of a substance in a mixture is the desired reactant. When a feedstock is not 100% pure, it is necessary to adjust the calculated flow rate to account for impurities, ensuring that the effective amount of reactant is sufficient for complete reaction.

Reaction Stoichiometry

This concept involves using the balanced chemical equation to determine the mole ratio between reactants and products. In contexts like emissions control, the correct proportions of reactants must be used to ensure complete reaction, which is critical for effective pollutant reduction.

Ideal Gas Law

The ideal gas law (PV = nRT) is a fundamental tool in understanding how gases behave under different conditions of pressure, volume, and temperature. It allows conversion between these variables, enabling the calculation of the amount or flow of gases when they are subjected to different operating conditions.

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