O4 (15 POINTS) Acetylene gas \( \left(\mathrm{C}_{2} \mathrm{H}_{2}\right) \) is produced from the dehydrogenation of methane \( \left(\mathrm{CH}_{4}\right) \) in a continuous reactor. An undesired side reaction is the decomp osition of acetylene to carbon. \[ \begin{array}{l} 2 \mathrm{CH}_{4}(\mathrm{~g}) \longrightarrow \mathrm{C}_{2} \mathrm{H}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \\ \mathrm{C}_{2} \mathrm{H}_{2}(\mathrm{~g}) \longrightarrow \longrightarrow \mathrm{C}(\mathrm{s})+\mathrm{H}_{2}(\mathrm{~g}) \end{array} \] Methane is fed to the reactor at \( 1500^{\circ} \mathrm{C} \) at a rate of \( \mathbf{1 0 0} \mathrm{mol} / \mathrm{s} \). Heat is transferred to the reactor at a rate of \( 9750 \mathrm{~kW} \). The product temperature is at \( 1500^{\circ} \mathrm{C} \) and the fractional conversion of methane is \( 60 \% \). Determine the product components flow rates and the yield of acetylene ( \( \mathrm{mol} \mathrm{C}_{2} \mathrm{H}_{2} \) produced \( / \mathrm{mol} \mathrm{CH} 4 \) consumed). Data: Specific heat capacities for: \[ \begin{array}{ll} \text { Data: Specific heat capacities for: } & C_{2} \mathrm{H}_{2}(g): C p=0.052 \frac{\mathrm{kJ}}{\mathrm{mol} . \mathrm{C}} \\ \mathrm{CH}_{4}(g): C p=0.079 \frac{\mathrm{kJ}}{\mathrm{mol.C}} & \mathrm{C}(\mathrm{s}): C p=0.022 \frac{\mathrm{kj}}{\mathrm{mol} . \mathrm{C}} \\ \mathrm{H}_{2}(g): C p=0.031 \frac{\mathrm{kJ}}{\mathrm{mol.C}} & \end{array} \]
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The fractional conversion of methane is 60%, and the feed rate of methane is 100 mol/s. Therefore, the moles of methane converted per second is: \[ \text{Moles of CH₄ converted} = 100 \text{ mol/s} \times 0.60 = 60 \text{ mol/s} \] Show more…
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You are checking the performance of a reactor in which acetylene is produced from methane in the reaction $$2 \mathrm{CH}_{4}(\mathrm{g}) \rightarrow \mathrm{C}_{2} \mathrm{H}_{2}(\mathrm{g})+3 \mathrm{H}_{2}(\mathrm{g})$$ An undesired side reaction is the decomposition of acetylene: $$\mathrm{C}_{2} \mathrm{H}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{C}(\mathrm{s})+\mathrm{H}_{2}(\mathrm{g})$$ Methane is fed to the reactor at $1500^{\circ} \mathrm{C}$ at a rate of $10.0 \mathrm{mol} \mathrm{CH}_{t / \mathrm{S}}$. Heat is transferred to the reactor at a rate of $975 \mathrm{kW}$. The product temperature is $1500^{\circ} \mathrm{C}$ and the fractional conversion of methane is 0.600. A flowchart of the process and an enthalpy table are shown below. (a) Using the heat capacities given below for enthalpy calculations, write and solve material balances and an energy balance to determine the product component flow rates and the vield of acetylene (mol $\mathrm{C}_{2} \mathrm{H}_{2}$ produced/mol $\mathrm{CH}_{4}$ consumed). $$\begin{aligned} \mathrm{CH}_{4}(\mathrm{g}): & C_{p} \approx 0.079 \mathrm{kJ} /\left(\mathrm{mol} \cdot^{\circ} \mathrm{C}\right) \\ \mathrm{C}_{2} \mathrm{H}_{2}(\mathrm{g}): & C_{p} \approx 0.052 \mathrm{kJ} /\left(\mathrm{mol} \cdot^{\circ} \mathrm{C}\right) \\ \mathrm{H}_{2}(\mathrm{g}): & C_{p} \approx 0.031 \mathrm{kJ} /\left(\mathrm{mol} \cdot^{\circ} \mathrm{C}\right) \\ \mathrm{C}(\mathrm{s}): & C_{p} \approx 0.022 \mathrm{kJ} /\left(\mathrm{mol} \cdot^{\circ} \mathrm{C}\right) \end{aligned}$$ For example, the specific enthalpy of methane at $1500^{\circ} \mathrm{C}$ relative to methane at $25^{\circ} \mathrm{C}$ is [0.079 $\left.\mathrm{kJ} /\left(\mathrm{mol} \cdot^{\circ} \mathrm{C}\right)\right]\left(1500^{\circ} \mathrm{C}-25^{\circ} \mathrm{C}\right)=116.5 \mathrm{kJ} / \mathrm{mol}$. (b) The reactor efficiency may be defined as the ratio (actual acetylene yield/acetylene yield with no side reaction). What is the reactor efficiency for this process?
D) 2.25 mg E) 2.25 g 13. A mixture of 0.500 mol H2 and 0.500 mol I2 was placed in a 1.00 L stainless-steel flask at 430°C. The equilibrium constant Kc for the below reaction is 54.3 at this temperature. What is the concentrations of HI at equilibrium? H2(g) + I2(g) ⇌ 2HI(g) A) 0.786 M B) 1.572 C) 0.393 D) 0.440 E) 0.220 7. Draw a correct Lewis structure for acetic acid (CH3COOH) and then decide which statement is incorrect. A) One carbon is described by sp2 hybridization. B) The molecule contains only one π bond. C) The molecule contains four lone pairs of valence electrons. D) One carbon is described by sp3 hybridization. E) Both oxygens are described by sp3 hybridization. 8. Which one of the followings is a redox reaction? A) Pb2+(aq) + 2Cl-(aq) → PbCl2(s) B) AgNO3(aq) + HCl (aq) → AgCl (s) + HNO3(aq) C) NaOH (aq) + HCl (aq) → NaCl (aq) + H2O (l) D) 2Al (s) + 3Cl2(g) → 2AlCl3(s) E) all of them
Adi S.
Methane is burned with air in a continuous steady-state combustion reactor to yield a mixture of carbon monoxide, carbon dioxide, and water. The reactions taking place are CH4 + 3/2O2 → CO + 2H2O CH4 + 2O2 → CO2 + 2H2O The feed to the reactor contains 7.8 mole% CH4, 19.4% O2, and 72.8% N2. The percentage conversion of methane is 90.0%, and the gas leaving the reactor contains 8 mol CO2/mol CO. Q1. Calculate the molar composition of the product stream using atomic species balances. Q2. Calculate the molar composition of the product stream using extents of chemical reaction.
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