Question 4 The response of volume to changes in temperature and pressure defines two important properties [the volume expansivity () and the isothermal compressibility (kT) ] of a substance. A) For water at 375C and 15MPa, estimate: i) The volume expansivity [ 3 marks] ii) The isothermal compressibility [3 marks] [Data: Use steam tables] B) A cylinder fitted with a piston contains liquid methanol at 20C,100kPa, and volume 10L. The piston is moved, compressing the methanol to 20MPa at constant temperature. Calculate: i) The work transfer for this process [4 marks] ii) The heat transfer for this process [4 marks] iii) The change in internal energy of methanol [ 3 marks] [Data for liquid methanol at 20C:=1.487103K1;kT=1.22109m2/N ]