Question

The authors state that "virus-like particles (VLP) are multi-protein structures with potential to be used in biomedicine as therapeutic or prophylactic vaccines against many worldwide diseases," and that "RLPs are a potentially relevant vaccine candidate against rotavirus disease." In their paper they express the formation of RLP from DLP as the equilibrium process shown below, DLP(aq) + 20 vp 7(aq) = RLP(aq) twenty vp where DLP is a double-layered particle and vp7 is a protein the forms layers on DLP. A. (4 points) Write the equilibrium expression for this reaction in terms K = of [DLP], [vp7], and (RLP). B. (16 points) Let's assume the initial concentration of DLP is 0.0010 M and the initial concentration of vp7 is 0.10 M (yes, I know, too high, but use those concentrations for this problem). Set up the equation you would solve to find the concentrations at equilibrium assuming Key = (your birth date) divided by your birth month) to two sig figs. First, calculate your K K = Now, set up the equation DLP(aq) + 20 vp7(aq) = RLP(aq) initial change equilibrium Write the equation you would need to solve in this box: Write expressions for DLP], [vp7), and (RLP) in terms of the unknown variable you used in your set up and equation on the previous page. [DLP) - [vp7] - [RLP) - C. (2 points) Well, as long as you have the Internet, go ahead and solve the equation on the previous page. We used Wolfram-Alpha in class. Remember, you'll get multiple roots, but only one of them is the right answer. So, what's the concentration of RLP at equilibrium?

Answer 1

so - Given Reaction is DL Prags + 20 Vp7 (aq) = RLP (aq) Here Dup = double layered particle VP 7 = protein (A).- Elanisisium expression for the abure reactim is proderet q concentratim q prodeets hes- product of concentrations of Reactents CRLP] Coup] [vp7jlo neq - - I aesume 1B2 Given that" Coup] = 0.0010m, initial ( VP 7) = 0.101 - " Birthday - 21.2.625 ne hale to assume keq = month I let a be the change in cene. Of DLP CONRLP aftest time DL Plays + 2017 Frass F R L Plaç) Echarpente 0.0010M O.IM change a zon O Initial Ñ a 0.0012 0.1-200 Sabahattintos Equilibrium

. Keas [Rep] [DLP] [127] 20 > 2.625= - (9.001-7X0-1-207720 Meglecting the term (0.1-200220 as it re term (0.1-200go as it is in domhigh & s in demoninates, assuming est de combe neglected. - 2.625 ,- 0.001-4) =) 2.625 (0.001-7)= a =) 0.00265 - 2.625Mer =) 3.625% = 0.0.0265 > no 0.00265 3.625 = x= 7.341107 9. - The concentration q DLP at Equilibrium = 2001-* = 0.001- 7.3441014 [oup] = 2.69 x154 m conc.q (VP7] at Ewibrium -- (6.1-200920 =(0.1- 204731210-4) I (0.1-0.01462720 2 (0.0854720 [upx] = 4. 24 x10?? -22

- concentration of (RLP) at Equilibrium is no 7.31x104 . At Equilibrium Colp] = 2.69810 ang PVP7] = 4.24 110 CRLP) - 7.31 X164M 22
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