Using MATLAB to complete Question 3.....

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 in the following table Volume (m3) Pressure (kPa) when T-300 K 2562 1237 801 653 489 412 Report all answers in a professional format with units using fprintf and/or disp a) Use linear interpolation to estimate the pressure when the volume is 3.2 m3 b) Use cubic spline interpolation to estimate the pressure when the volume is 3.2 m* c) Use linear interpolation to estimate the volume if the pressure is measured to be 1200 kPa d) Use cubic spline interpolation to estimate the volume if the pressure is measured to be 1200 kPa. 2) Using the data from Problem 1 and linear interpolation to create an expanded volume pressure table with volume measurements every 0. 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 (interpolated) values with a solid line 3) Fit the data from Problem 1 with first-, second-, third-, and fourth-order polynomials using the polyfit function a) Plot your results on the same graph b) Plot the actual data (from the table) as a circle with no line c) Which model seems to do the best job? (answer using fprintf and/or disp)