Styrene is commonly produced by the catalytic dehydrogenation of ethylbenzene. In a particular process, a 10:90 (on a molar basis) ethylben- zene/steam mixture is passed over a solid catalyst bed maintained at T = 900 K. Steam does not participate in any reactions and is only present as a diluent. The process operates at atmospheric pressure. Obtain the equilib- rium conversion for this process and suggest two beneficial effects of dilut- ing the feed gas with steam, when compared to feeding pure ethylbenzene.
Styrene is commonly produced by the catalytic dehydrogenation of ethylbenzene. In a particular process, a 10:90 (on a molar basis) ethylben- zene/steam mixture is passed over a solid catalyst bed maintained at T = 900 K. Steam does not participate in any reactions and is only present as a diluent. The process operates at atmospheric pressure. Obtain the equilib- rium conversion for this process and suggest two beneficial effects of dilut- ing the feed gas with steam, when compared to feeding pure ethylbenzene.
Chemistry
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:**Styrene Production by Catalytic Dehydrogenation of Ethylbenzene**
In this process, styrene is commonly produced by the catalytic dehydrogenation of ethylbenzene. During a particular operation, a 10:90 ethylbenzene/steam mixture (on a molar basis) is utilized. This mixture is passed over a solid catalyst bed, which is maintained at a temperature of \( T = 900 \, \text{K} \).
Importantly, steam does not participate in the reaction itself and serves solely as a diluent. The process is conducted at atmospheric pressure. The task is to determine the equilibrium conversion for this procedure and to identify two beneficial effects of diluting the feed gas with steam, as opposed to using pure ethylbenzene.
**Graphical Elements:**
The image does not contain any graphs or diagrams. Therefore, no graphical explanation is necessary.

**Note 2**: Since some of the relevant thermochemistry data for this system is available only in tabular form at discrete temperatures from the NIST WebBook (rather than in the form of parameters of the Shomate Equation), temperature integrals can be evaluated as needed by application of the trapezoidal rule:
\[
\int_{T_1}^{T_2} f(T) \, dT \approx \frac{(T_2 - T_1)}{2} \left[ f(T_2) - f(T_1) \right]
\]
**Explanation**: The chemical reaction involves the conversion of an ethylbenzene derivative yielding a different compound and hydrogen gas (\(H_2\)). The trapezoidal rule is presented to approximate the integral of a function \(f(T)\) over a temperature interval from \(T_1\) to \(T_2\). This method is particularly useful when thermochemistry data is available at specific temperature points, allowing for numerical integration in situations where a continuous functional form is unavailable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b2fa2bf-9757-4381-9fdb-859cf9db9746%2F6361c4a3-c9b5-4c93-8661-6d173aae4e99%2Feng3yj_processed.png&w=3840&q=75)
Transcribed Image Text:**Note 1**: The reaction considered in this problem is

**Note 2**: Since some of the relevant thermochemistry data for this system is available only in tabular form at discrete temperatures from the NIST WebBook (rather than in the form of parameters of the Shomate Equation), temperature integrals can be evaluated as needed by application of the trapezoidal rule:
\[
\int_{T_1}^{T_2} f(T) \, dT \approx \frac{(T_2 - T_1)}{2} \left[ f(T_2) - f(T_1) \right]
\]
**Explanation**: The chemical reaction involves the conversion of an ethylbenzene derivative yielding a different compound and hydrogen gas (\(H_2\)). The trapezoidal rule is presented to approximate the integral of a function \(f(T)\) over a temperature interval from \(T_1\) to \(T_2\). This method is particularly useful when thermochemistry data is available at specific temperature points, allowing for numerical integration in situations where a continuous functional form is unavailable.
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