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When heated, the DNA double helix separates into two random-coil single strands. When cooled, the random coils reform the double helix: double helix 2 random coils.

(a) What is the sign of∆sfor the forward process? Why?

(b) Energy must be added to overcome H bonds and dispersion forces between the strands. What is the sign of∆Gfor the forward process when°ÕΔ³§is smaller thanrole="math" localid="1663303287852" ∆H?

(c) Write an expression that shows T in terms of∆Hand∆swhen the reaction is at equilibrium. (This temperature is called the melting temperature of the nucleic acid.)

Short Answer

Expert verified

a) For the forward process, set Δ³§>0.

b) For the forward process, Gibb's energy is positive.

c) Expression of melting temperatureT=Δ±áΔ³§.

Step by step solution

01

Definition of DNA

Deoxyribonucleic acid (DNA) is a polymer made up of two polynucleotide chains that coil around each other to create a double helix and carry genetic instructions for all known organisms and viruses' formation, function, growth, and reproduction.

02

Determining the sign of ∆s for the forward process

a) The system gets increasingly disordered as the number of 'particles' increases during the reaction to generate two random coils from a single double helix, raising the entropy of the system and making the reaction spontaneous.

As a result, for the forward process, Δ³§>0.

03

Determining the sign of ∆G for the forward process

b) The Δ³Òcan be written as follows:

Δ³Ò=Δ±á-T×Δ³§

If T×Δ³§<<Δ±á, then

∆H-T×∆s>0∆G>0

Gibb's vitality is beneficial to the onward movement.

04

Determining the expression of T in terms of ∆H and ∆s

c) Since Δ³Ò=0while the reaction is at equilibrium,

Δ±á-T×Δ³§=0

as well as the melting temperature, which can be written as

T=Δ±áΔ³§

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