Biology_2112_problemkey-101510

# Biology_2112_problemkey-101510 - Biology 102 Fall 2004...

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Unformatted text preview: Biology 102, Fall 2004 Problem set 5 For the second exam Entropy & Equilibrium Constant Problem Suppose that a molecule has 10 different configurations. The 10 configurations can be divided into 2 groups, one group has 3 members (group I) each with the energy E 1 , and a second group (group II) with 7 members each with an energy E 2 . Question: At equilibrium, what is the equilibrium constant between group I and group II in terms of energy and entropy? Problem set 5 Answer Key Equilibrium Constant Problem Suppose that a molecule has 10 different configurations. The 10 configurations can be divided into 2 groups, one group has 3 members (group I) each with the energy E 1 , and a second group (group II) with 7 members each with an energy E 2 . Question: At equilibrium, what is the equilibrium constant between group I and group II in terms of energy and entropy? Note: division is indicated by a / . Be careful with super & subscripts Answer: Group I conformations: I(1), I(2), I(3) Group II conformations: I(4), I(5), I(6), I(7), I(8), I(9), I(10). [I] = [I(1)] + [I(2)] + [I(3)] [II] = [I(4)] + [I(5)] +, + ,+, +, + [I(10)] [II] ∕ [I] = 7 [ I(4) ] because [I(4)] = [I(5)] =, ……. [I(10)] 3 [I(1)] and [I(1)] = [I(2)] = [I(3) [II] ∕ [I] = е - [ {W 4 – W 1 } – T kln 7/3 ] / k T W 4 – W 1 is ΔE(1→4) & kln 7/3 = S 4- S 1 . [II] ∕ [I] = е – [ ( ΔE – T ΔS) / k T ] NOTE – the Energy equation utilizes the difference between the base configuration of the 2 groups thus exp – {(W4-W1)-T(k*ln7 – k* ln 3)}/kT Biology 102 Problem set 5 Sometimes a Thymine is found opposite a Guanine in double stranded DNA. The base pairing pattern is shown in the schematic diagram shown below. Single bonds are single lines. Double bonds are double lines. represents an Hydrogen bond. O Major Groove C Thymine N – H O C C O H – N Guanine C Minor Groove H N H Put in the water molecules hydrogen bonded to the groups when the bases are paired and when they separated in water. Determine if there is a net change in the number of hydrogen bonds in the two situations. Remember that the water molecules displaced when the bases are paired can hydrogen bond with each other....
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## This note was uploaded on 03/27/2011 for the course BIO 2912 taught by Professor Waring/rappaport during the Spring '11 term at Temple.

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Biology_2112_problemkey-101510 - Biology 102 Fall 2004...

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