Calculate the enthalpy and entropy of liquid isobutane at T = 160 o F and pressure P = 1000 psia. The following data on specific liquid volume are available in the picture.

.30 mol of an ideal gas expands in the diagram. The ideal gas goes through an isochoric heating from point 2 until the pressure isrestored to the value shown in point 1. What is the TF of the ideal gas?

Let’s verify that the macroscopic and microscopic approaches to the calculation of entropy lead to the same conclusion for the adiabatic free expansion of an ideal gas. Suppose the ideal gas as shown expands to four times its initial volume. As we have seen for this process, the initial and final temperatures are the same. (A) Using a macroscopic approach, calculate the entropy change for the gas. (B) Using statistical considerations, calculate the change in entropy for the gas and show that it agrees with the answer you obtained in part (A).

Temperatures (°C) are measured at various points on a heated plate, which are reported in the following table. Estimate the temperature when X=4 and Y=3.2, X=4.3 and Y=2.7 by Lagrange polynomial. Image Help with this problem please, we are working using only X and Y data, but never anything more than this so I don't know how to apply the formulas when we are given more data and I am confused for this task.