Short (~25 base pairs) strands of double helix DNA in solution will, at sufficiently high temperature, disassociate into pairs of single strands. The temperature at which 50% of the double strands have broken apart is called the melting temperature Tm. ("Melting" here has nothing to do with conversion from solid to liquid, it simply connotes a change from a more ordered state to a less ordered state.)

The nearest-neighbor method predicts that the melting temperature depends on the concentration, c, of DNA in the solution:

1/Tm = (R/H) log(c/c0)

where H is the enthalpy of helix formation, R is the gas constant (all per mole), and c0 is related to the salt and pair adjusted entropy of helix formation.

In order to determine the thermodynamic constants of DNA "unzipping", various concentrations (x, in Moles/L = M) of DNA are prepared and the melting temperature (y, in absolute temperature: [K]elvin) is measured. The melting temperature measurements have an accuracy of 1 K. It is expected that the data will fit inverse natural log relationship:

1/y=B log(x/A)

with constants:

B=R/H

A=c0

  1. Fit this data to an inverse natural log relationship.
  2. Consider the nearest-neighbor method's predicted law. Does this evidence (data) confirm or contradict this scientific claim? Support your answer quantitatively.
  3. Properly report (sigfigs, error, units) the A and B parameters of the best-fit relationship.
  4. The value of the gas constant R is known to be 8.3145 J/(mole·K). Use a spreadsheet to calculate the enthalpy of helix formation, H, from B, and properly report (sigfigs, error, units) the value.
  5. Self-document the spreadsheet and turn in a hardcopy of the page.
  6. Make a hardcopy plot of the data with best-fit curve. Make an additional hardcopy plot with scales chosen so as to linearize the curve.
X
(M)
Y
(K)
1.3 × 10-4273
2.0 × 10-4280
4.4 × 10-4295
1.08 × 10-3309
1.43 × 10-3317
1.59 × 10-3317
2.4 × 10-3325
4.3 × 10-3340
4.8 × 10-3344
8.0 × 10-3355