Repeat Problem 13.2, using cubic spline interpolation. 13.2 the data from Problem 13.1...

Repeat Problem 13.2, using cubic spline interpolation.

13.2 the data from Problem 13.1 and linear interpolation to create an expanded volume–pressure table with volume measurements every 0.2 m³. Plot the calculated values on the same graph with the measured data. Show the measured data with circles and no line and the calculated values with a solid line.

13.1 Consider a gas in a piston–cylinder device in which the temperature is held constant. As the volume of the device was changed, the pressure was measured. The volume and pressure values are reported in the following table:

(a) Use linear interpolation to estimate the pressure when the volume is 3.8 m³.

(b) Use cubic spline interpolation to estimate the pressure when the volume is 3.8 m³.

(c) Use linear interpolation to estimate the volume if the pressure is measured to be 1000 kPa.

(d) Use cubic spline interpolation to estimate the volume if the pressure is measured to be 1000 kPa.