Acne Studios F/W 2022 by Jonny Johansson
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cbe 142 hw2
Problem 2 (10 points): Mole balance and stoichiometry
The reaction
2A + 3B → C (1)
takes place in an isothermal, unsteady CSTR. The feed consists of only A and B in stoichio- metric proportions. Which of the following set of equations gives the correct mole balances on A, B, and C? Species A and B are disappearing and Species C is being formed. Circle the correct answer where all mole balances are correct.
10/10 soln
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cbe 142 hw1
Problem 2 (10 points): Pseudo-first order kinetics
Recall from class the homogeneous bimolecular reaction A + B −−→ P, which is first or- der in each of the two reactants A and B, and therefore second order overall. We derived in class the expression for the concentrations of A and B as a function of time,
Here, cA0 and cB0 are the starting concentrations of A and B at t = 0.
(a) (4 points) Consider the instance that cA0 = cB0, i.e. the reactants are in stoichiometric ratio. Convince yourself that in this situation cA(t) = cB(t) for all times. By integrating differential form of the rate law, derive an equation for cA(t) in terms of cA0, t and k2.
(b) (2 points) For the situation in (a), suppose you are given data for cA(t) vs. t. Can you think of a nice way to plot it to extract the value of the rate constant k2?
© (4 points) Let’s return to the case in (a) where cA0 and cB0 are not equal. It often occurs for second-order reactions that one reactant can be maintained at a much larger concentration than the other, so that no matter how much the limiting reactant is consumed, the concentration of the excess reactant will be affected little. In this vein, assume that cB0 >> cA0, and that cB(t) ≈ cB0. In this scenario, convince yourself that equation 1 reduces to the first order form,
where k1p is the pseudo-first order rate constant. How is k1p related to k2?
10/10 soln
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cbe 142 hw1
Problem 1 (15 points): Rate constants and units
For units, use centimeters for length, pascals (Pa) for pressure, moles for species amount, and seconds for time. cX denotes the concentration of species X and PX denotes the partial pressure of species X. The generation rate rA is defined as the rate of generation of A per unit time per unit volume. rA′ is defined as the rate of generation of A per unit time per unit mass of catalyst. r′′ is defined as the rate of generation of A per unit time per unit surface area of catalyst. rA,r′ and r′′ have the following units (following the convention in Appendix F of Fogler’s book),
Given these definitions, determine the units of the rate constants (k’s) and the equilibrium constants (K’s) in the following rate laws. Use the principle of dimensional homogeneity that you should be familiar with from 150A.
Hint: In a sum of terms a + b + c, all terms must have the same units according to the principle of dimensional homogeneity. In an equation A = B, the quantities A and B must have the same units
15/15 soln
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Stylish Hoodies
Cell Hooded Sweatshirt> Fall/Winter> KBrooksNArt https://www.cafepress.com/kbrooksnart1.468322065#.YzeIrMWwvl4.twitter
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“Sunsets, like childhood, are viewed with wonder not just because they are beautiful but because they are fleeting.”
~ Richard Paul Evans
Britannia park on a warm Nov evening. There were several kite surfers enjoying the warm day & even 1 couple in bathing suits took a dip, brrr.
It’s a rare heatwave again this Nov. Today the temp was 20° C, Humidex 21 & Wind SW 28 km/h. Captured Nov 4 posted Feb 3, 2023.
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This was an usual warm Nov evening Britannia Park, Ottawa, Canada. I’m not sure how to post a panorama photo so I screenshot it & kept part of the white background so it would fit on Instagram without getting cropped. How do U post a panorama. Captured Nov 4, 2022 posted Jan 26, 2023.
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“Never turn your back to the sunset, because you owe the sun a thanking for lighting you all day.”
~ Mehmet Murat Ildan
Sunset Britannia Park, Ottawa Canada captured Oct 4, posted Jan 25, 2023.
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