Instruction: Answer the problems completely. Show your complete solution. Write legibly.

A gas is taken from path a to c along the curved path in the figure, where the work done by the gas is W = - 47 J and the heat is Q = - 80 J. Along path abc, the work done is W = - 52 J. a. What thermodynamic processes involved in path ed? and path da? b. What is AUca? c. Is the heat Q for path abc, absorbed or released? By how much? d. If Pe = 1/2 Pb, what is W for path cda? e. Is the heat Q for path cda, absorbed or released? By how much? f. If Ud - Uc = 8 J, what is Q for path da? b a C d 0 VFIRST LAW OF THERMODYNAMICS (AU = Q - W) : A. ADIABATIC PROCESS (no transfer of heat) Q=0 ; AU = 0 - W ; AU = -W; W=3NR(T -T ) TV/1=T,Vy-1 piVY = pFV) B. ISOCHORIC PROCESS (constant volume) V is constant ; AV = 0; W = 0 and Q = AU ; 0 = AU = nCAT C. ISOBARIC PROCESS (constant pressure) P is constant ; W = p AV ; AU = Q - W ; Q =nCAT D. ISOTHERMAL PROCESS (constant temperature) T is constant ; AU = 0 and Q = W ; W = nRT In-_ W = pV In- W = nRT In Pi Pf . Cyclic process: AU = 0; W = Q . Isolated system : W = Q = 0; AU = 0 U = nRT