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by: Annie Burton

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# Homework 3 Solutions 220

Marketplace > Chemical Engineering > 220 > Homework 3 Solutions
Annie Burton
UMass
GPA 3.45
Biological Systems
Shelly Peyton

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Chem Eng 220
COURSE
Biological Systems
PROF.
Shelly Peyton
TYPE
Test Prep (MCAT, SAT...)
PAGES
2
WORDS
KARMA
75 ?

## Popular in Chemical Engineering

This 2 page Test Prep (MCAT, SAT...) was uploaded by Annie Burton on Friday October 9, 2015. The Test Prep (MCAT, SAT...) belongs to 220 at a university taught by Shelly Peyton in Fall. Since its upload, it has received 79 views.

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Date Created: 10/09/15
HOMEWORK 3 CHEMENG 220 SOLUTIONS 1 Entropy 50 POINTS True In both states stretched like a string and properly folded a protein has a highly ordered arrangement of its atoms A folded protein is stable at a near entropy minimum because the entropic cost is more than balanced by the contributions of weak bonds A stretched out protein however is not stable at this entropy minimum and will assume a more disordered state that is it will maximize its entropy 2 Probabilities 50 POINTS 3 You have a thermodynamic system with three states You observe the probabilities p1 09 p2 009 and p3 001 at T 31K W39hat are the energies E2 and E3 of states 2 and 3 relative to the ground state Solution quotSIS Ez El Ell E3 E1 3 13quot 1 I BT e B nkaT 3 3 an Z FEW e Ea Enmka39n kngn E 95 x 1021 P1 eE quotquotT e Ea Enwm 43171162 2 186 x 1030 P1 3 Membrane protein sorting 50 POINTS A If the equivalent of one plasma membrane transits the ER every 24 hours and individual membrane proteins remain in the ER for 30 minutes 05 hr then at any one time 0021 05 hr124 hr plasma membrane equivalents are present in the ER Since the area of the ER membrane is 20 times greater than the area of the plasma membrane the fraction of plasma membrane proteins in the ER is 0021 I20 0001 Thus the ratio of plasma membrane proteins to other membrane proteins in the ER is l to 1000 Out of every 1000 proteins in the ER membrane only 1 is in transit to the plasma membrane B In a cell that is dividing once per day the equivalent of one Golgi apparatus also must transit the ER every 24 hours If the membrane of the Golgi appa ratus is three times the area of the plasma membrane three times as many Golgi apparatus membrane proteins will be present in the ER Therefore the ratio of Golgi apparatus membrane proteins to other membrane proteins in the ER is 3 to 1000 C If the areas of the membranes of all the rest of the compartments are equal to the area of the plasma membrane then the ratio of membrane proteins bound for these compartments to the membrane proteins in the ER is l to 1000 Summing the contributions from all compartments the ratio of mem brane proteins in transit to proteins that are permanent residents of the ER membrane is 5 to 1000 Thus 995 of the membrane proteins in the ER are permanent residents As this problem illustrates the sorting of proteins to various cellular mem branes represents a substantial puri cation from the mix of proteins in the ER 4 Careers in Bioengineering 50 points 20 points career choice and analysis 10 points grammar 10 points plagiarism check 10 points length

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