Below, pairs of measured values are x=t and y=In([C]). Assume that the x values

Question

Below, pairs of measured values are x=t and y=In([C]). Assume that the x values are known exactly, and the relative uncertainty in the measurement of y is the same for each value. The dimension of x is time in milliseconds and y is ln([C]/[millimoles/Liter]), the natural logarithm of concentrations. Theory predicts that the relationship between [C] and t is given by [C] = [C]_0 * exp(-kt) (a) Calculate the best least-squares fit of a straight line y= mx +b to the data. Find the values of m and b, and estimate their uncertainties at the 95% confidence level. Plot a graph of the data and the straight-line fit. (b) Calculate k and [C]_0 from the slop and intercept, with units and propagated uncertainties.

Explanation / Answer

1) the graph will be

The straight line equation will be

y = 2.4106x + 45.269

m = 2.4106

b = 45.269

Slope = m =-K = -2.4105

Intercept = ln[C0] = 45.569

Hoever the data is not matching the exact first order kinetics

according to it we should obtain a stright line with negative slope.

We are getting lines with positive slope.

x y 9.081 69.44 9.508 64.28 10.34 72.976 12.595 70.515 13.393 85.039 14.258 76.745 15.546 79.037 17.072 91.351 18.717 86.656 19.404 93.919

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.