please show all work, thank you!

Problem. 2 (15 pts) A gas within a piston-cylinder assembly undergoes and expansion from a state P1,V1 to a second state P2,V2. The process is described by a linear relationship of the form p=A+BV where A and B are constants. a) (10 pts) Use the given p-V relationship to find an expression for the work W12 in terms of A,B, and the initial and final volumes V1,V2. b) ( 3 pts) If the constants and state information is given as follows, calculate the work W12 for the process using your result from part a) P1=1.38bar,V1=0.014m3P2=0.34bar,V2=0.071m3A=1.635barB=18.246barm c) ( 2 pts) Calculate the work between the two states in part (b) using the average pressure, i.e. W12=(2p1+p2)(V2V1) and compare the result with your answer for part (b). Do you think one method is more accurate than the other (yeso)? No discussion necessary