Answer:
To make the equation linear, a logarithmic transformation can be applied. Taking the natural logarithm of both sides of the equation will convert the power function into a linear form:
ln(∆H) = ln(A) + n * ln(Tc / T)
Now, the equation is linearized, and we can determine the coefficients A and n using a rough graph. Here's how you can do it:
a) Linearization:
Start by plotting a graph with ln(∆H) on the y-axis and ln(Tc / T) on the x-axis. Each data point (T, ∆H) from the experiments represents a point on the graph.
b) Determining coefficients A and n:
1. Find two points on the graph that are reasonably well-separated and lie on the linear portion. Ideally, these points should cover the entire range of the data.
2. Draw a straight line that best fits the data points.
3. Determine the slope of the straight line. The slope corresponds to the exponent 'n' in the original equation.
4. Determine the y-intercept of the straight line. The y-intercept corresponds to ln(A) in the original equation.
5. Calculate the value of 'A' by taking the exponential of the y-intercept.
A = e^(y-intercept)
By performing these steps and obtaining the values for the slope and y-intercept, you can determine the coefficients A and n for propane in the enthalpy of evaporation equation.