Given the following reaction at 1000 K and 1 bar: C2H4(g)+H2O(g)⟺C2H5OH(g). Determine the equilibrium constant and its maximum conversion for an equimolar feed. Assume the standard enthalpy of reaction as a function of temperature. Write all solutions and assumptions.

Answers

Answer 1

The equilibrium constant can be calculated using the expression K = exp(-ΔG°/RT), where ΔG° is the standard Gibbs free energy change and R is the gas constant. The maximum conversion can be determined by comparing the initial and equilibrium concentrations of the reactants and products.

How can the equilibrium constant and maximum conversion for the given reaction be determined at 1000 K and 1 bar?

To determine the equilibrium constant and maximum conversion for the given reaction C2H4(g) + H2O(g) ⟺ C2H5OH(g) at 1000 K and 1 bar, we need to use thermodynamic principles.

The equilibrium constant, K, can be calculated using the expression K = exp(-ΔG°/RT), where ΔG° is the standard Gibbs free energy change, R is the gas constant, and T is the temperature.

Assumptions:

1. The reaction is at equilibrium at 1000 K and 1 bar.

2. The reaction is ideal and follows the law of mass action.

3. The standard enthalpy of reaction, ΔH°, is temperature-dependent and can be determined using available data or a thermodynamic model.

4. The reaction mixture is assumed to be ideal and behaves as an ideal gas.

Solutions:

1. Calculate the standard enthalpy of reaction, ΔH°, at 1000 K using available data or a thermodynamic model.

2. Use the calculated ΔH° value to calculate the standard Gibbs free energy change, ΔG°, at 1000 K.

3. Substitute the ΔG° value and the given temperature into the expression for K to determine the equilibrium constant.

4. The maximum conversion can be determined by comparing the initial and equilibrium concentrations of the reactants and products.

It is important to note that specific numerical calculations and additional data are required to obtain precise values for the equilibrium constant and maximum conversion.

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Related Questions

The Stairmand HR cyclone is used to purify the surrounding air (density 1.2 kg/m^3 and viscosity 18.5x10^-6 Pa's) 2.5 m^3/s loaded with dust having a particle density of 2600 kg/m^3. The possible pressure drop is 1200 Pa and the required separation particle size should not be greater than 6 μm.
(a) What size cyclone do you need?
(b) How many cyclones are needed in what arrangement?
(c) What is the actual separation grain size achieved?

Answers

In order to determine the appropriate size of the HR cyclone, several factors need to be considered, include the density and viscosity of the surrounding air, airflow rate, dust particle density, maximum allowable pressure drop, and desired separation particle size.

What factors need to be considered when determining the size of the Stairmand HR cyclone for air purification?

The Stairmand HR cyclone is a device used for air purification. In order to determine the appropriate size of the cyclone, several factors need to be considered. The density and viscosity of the surrounding air are given as 1.2 kg/m^3 and 18.5x10^-6 Pa's, respectively.

The airflow rate is specified as 2.5 m^3/s, and the dust particles have a density of 2600 kg/m^3. The maximum allowable pressure drop is 1200 Pa, and the desired separation particle size should not exceed 6 μm.

To calculate the required size of the cyclone, various design parameters such as the cyclone diameter, height, and inlet/outlet dimensions need to be determined based on the given conditions and desired separation efficiency. The design process involves analyzing the airflow, particle dynamics, and pressure drop within the cyclone.

Once the size of the cyclone is determined, the number of cyclones required and their arrangement can be determined based on factors such as the total airflow rate, desired separation efficiency, and space constraints. The arrangement can be parallel, series, or a combination of both, depending on the specific requirements.

The actual separation grain size achieved can be evaluated by analyzing the cyclone's performance under operating conditions. This involves measuring the particle size distribution of the separated particles and comparing it with the desired separation particle size of 6 μm. Adjustments to the cyclone's design or operational parameters may be necessary to achieve the desired separation efficiency.

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