Question

The elementary reaction: A + C ? 2B + D Takes place in a gas-phase reactor. There is excess C, so the molar ratio of C to A in the feed is 2:1. There are no inerts or product in the feed. 2.1 What is the rate of reaction in terms of A? (3) 2.2 Calculate ? for the reaction. (2) 2.3 Calculate ?c. (2) 2.4 Draw up a stoichiometric table for the reactor. (14) 2.5 Express the rate of reaction in terms of the conversion, X. Take into account the change of volume on reaction. Assume that pressure and temperature are constant. (12) 2.6 Given that the conversion is 0.60, the feed flowrate of A is 2.5 kmol.s?¹, the reactor pressure is 10.0 bar and the reactor temperature is 550 K and k is 0.001 m³/kmol²/s. 2.6.1. Calculate the volumetric flowrate of the feed. List your assumptions. (7) 2.6.2 Explain how you would solve for the volume of the plug flow reactor for this reactor system. Write the equations that you need to solve. List your assumptions. (10)

          The elementary reaction:
A + C ? 2B + D
Takes place in a gas-phase reactor. There is excess C, so the molar ratio of C to A in the feed is 2:1.
There are no inerts or product in the feed.
2.1 What is the rate of reaction in terms of A?
(3)
2.2 Calculate ? for the reaction.
(2)
2.3 Calculate ?c.
(2)
2.4 Draw up a stoichiometric table for the reactor.
(14)
2.5 Express the rate of reaction in terms of the conversion, X. Take into account the change of
volume on reaction. Assume that pressure and temperature are constant.
(12)
2.6 Given that the conversion is 0.60, the feed flowrate of A is 2.5 kmol.s?¹, the reactor pressure is
10.0 bar and the reactor temperature is 550 K and k is 0.001 m³/kmol²/s.
2.6.1. Calculate the volumetric flowrate of the feed. List your assumptions.
(7)
2.6.2 Explain how you would solve for the volume of the plug flow reactor for this reactor system.
Write the equations that you need to solve. List your assumptions.
(10)

Show more…

The elementary reaction:
A + C ? 2B + D
Takes place in a gas-phase reactor. There is excess C, so the molar ratio of C to A in the feed is 2:1.
There are no inerts or product in the feed.
2.1 What is the rate of reaction in terms of A?
(3)
2.2 Calculate ? for the reaction.
(2)
2.3 Calculate ?c.
(2)
2.4 Draw up a stoichiometric table for the reactor.
(14)
2.5 Express the rate of reaction in terms of the conversion, X. Take into account the change of
volume on reaction. Assume that pressure and temperature are constant.
(12)
2.6 Given that the conversion is 0.60, the feed flowrate of A is 2.5 kmol.s?¹, the reactor pressure is
10.0 bar and the reactor temperature is 550 K and k is 0.001 m³/kmol²/s.
2.6.1. Calculate the volumetric flowrate of the feed. List your assumptions.
(7)
2.6.2 Explain how you would solve for the volume of the plug flow reactor for this reactor system.
Write the equations that you need to solve. List your assumptions.
(10)

Added by Raquel B.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Aarya B

11/22/2023

Step 1

Step 1: The rate of reaction in terms of A is given by: $-r_A = kC_A C_C$ where $k$ is the rate constant, $C_A$ is the concentration of A, and $C_C$ is the concentration of C. Show more…

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The elementary reaction: A + C → 2B + D Takes place in a gas-phase reactor. There is excess C, so the molar ratio of C to A in the feed is 2:1. There are no inerts or product in the feed. 2.1 What is the rate of reaction in terms of A? 2.2 Calculate $\delta$ for the reaction. 2.3 Calculate $\theta_C$. 2.4 Draw up a stoichiometric table for the reactor. 2.5 Express the rate of reaction in terms of the conversion, X. Take into account the change of volume on reaction. Assume that pressure and temperature are constant. 2.6 Given that the conversion is 0.60, the feed flowrate of A is 2.5 kmol.s⁻¹, the reactor pressure is 10.0 bar and the reactor temperature is 550 K and k is 0.001 m³/kmol²/s. 2.6.1. Calculate the volumetric flowrate of the feed. List your assumptions. 2.6.2 Explain how you would solve for the volume of the plug flow reactor for this reactor system. Write the equations that you need to solve. List your assumptions.

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Transcript

00:01 Hello everyone, so there are three reactants a, b and c.

00:04 So the initial concentration for a is 1, for b is 2 and for c is 0.

00:10 So the change is minus x, minus 2x and x for c.

00:16 And the final concentration would be 1 minus x, 2 minus 2x and x.

00:23 So to calculate the reaction rate at different conversions, we need to use the rate equation for the reaction.

00:30 So since the reaction is in first order in both a and b, so the rate of reaction can be written as rate is equal to k into concentration of a into concentration of b square.

00:51 So at the inlet, x is equal to 0.

00:57 So the concentration at a and b are their initial concentration which are 1 mole per dm cube and 2 mole per dm cube respectively.

01:15 So therefore, the reaction rate at inlet will be equal to rate is equal to k into a into b square.

01:25 So the values will be 0 .042 dm cube divided by mole second into 1 mole per dm cube into 2 mole per dm cube whole square.

01:38 So now this on solving it, it will be 0 .336 dm cube per second.

01:48 So now at 20 % conversion of a, so the concentration of a will be equal to 0 .8 mole per dm cube and the concentration of b will be equal to 1 .6 mole per dm cube.

02:11 So now therefore, reaction rate at 20 % conversion of a is the rate.

02:26 Rate equal to k into a into b square.

02:31 So that is equal to 0 .042 dm cube per mole second into 0 .8 mole per dm cube into 1 .6 mole per dm cube whole square.

02:59 So now on solving it, it would be equal to 0 .108 dm cube divided by s...

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