CHEM163B_HW7_solutions_2011

CHEM163B_HW7_solutions_2011 - Winter 2011 Chemistry 163B...

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Winter 2011 Chemistry 163B 1 Homework #7 Problems (#37-$39) 37. E&R P6.5 38. E&R P6.26 39. Consider the equilibrium between two complementary DNA oligomer strands and the doubled-stranded duplex in the ‘two-state’ approximation. S + S' D (S-S' duplex) a. Write K eq for the above equilibrium in terms of the concentrations [S], [S’], and [D]. b. One measure of the stability of DNA and RNA oligomers is melting temperature, T m , defined as the temperature at which 50% of the oligomer and its complement are in a doubled-stranded (duplex) configuration and 50% in a single stranded. Thus at T m, there are equal amounts of oligomer strands in D and in S + S : 2 [D]=[S] + [S ]. If the single strands are mixed in equal initial concentrations with C T =[S] 0 +[S ] 0 =2[S] 0 , write an expression for the equilibrium constant at T m , in terms of only C T . c. Write an expression for T m in terms of H and S for duplex formation and C T . d. It is found that H and S for this process can be well estimated by
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CHEM163B_HW7_solutions_2011 - Winter 2011 Chemistry 163B...

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