Consider again the first step in the self assembly process +2 For the specific d
ID: 1033151 • Letter: C
Question
Consider again the first step in the self assembly process +2 For the specific dye you're studying, the equilibrium constant has a value of 7.07 10 10 at 25°C If you mix together 20.0ml 1.00mM dye solution and 10.0ml 1.00?? DNA solution at this temperature, what are the equilibrium concentrations of all of the species participating in this reaction. The final concentrations will be (please express your answer to three significant figures; for very small numbers, you may also use scientific notation i.e. 6.3e-8) ... mM dye. HM dna HM dna-dye complexExplanation / Answer
moles of dye= molarity*volume in Liters= 1*10-3M*20ml*1L/1000ml= 0.00002
moles of DNA= 1*10-6*10/1000 = 10-8 moles
the reaction is 2Dye++DNA ---------->(Dye)2DNA+2
K= [Dye]2[DNA+2]/[DNA] [Dye+]2
let x= drop in moles of DNA to reach equilibrium. At Equilibrium, [DNA]= 10-8-x, [Dyer]2=0.00002-x, Dye]2 [DNA]+2 = x
K=x/(10-8-x)*(0.00002-x) = 7.07*1010,
when solved for x, x= 9.9999992924*10-9
at Equilibrium, [Dye]2[DNA+2]=9.999992924*10-9, [DNA] =7.058*10-15M, [Dye]2= 1.999*10-5M