Based on the information below, finish questions (11) ~ (15).\ As shown in the figure on the right, a perfect gas can be taken from state A to state C with three different\ paths: (i) A->B->C, (ii) A->D->C, and (iii) A->C (via the curved and\ dashed path). The pressure of the perfect gas at state A is four times the\ pressure at state D. In addition, let us assume the work is done on the gas\ and the following information is provided:\ (a) The heat change via path (iii) is !-># = 120 ;\ (b) The work via path (iii) is !-># = 80 ;\ (c) The work via path (ii) is !->$-># = 95 ;\ (d) The difference of internal energy between state A and state D\ is: ! % = 20 .\ (11) What is the change in internal energy between state A and state C via\ path (iii), i.e., the curved and dashed path?\ (A) -40 J. (B) 120 J. (C) 80 J. (D) 40 J.\ (12) What is the heat added to the gas via path (ii), i.e., A->D->C?\ (A) -40 J. (B) -95 J. (C) -135 J. (D) -270 J.\ (13) What is the work done on the gas via path (i), i.e., A->B->C?\ (A) 80 J. (B) 120 J. (C) 380 J. (D) 480 J.\ (14) What is the heat added to the gas via path (i), i.e., A->B->C?\ (A) -120 J. (B) -240 J. (C) -380 J. (D) -420 J.\ (15) What is the difference of internal energy at state C and state D (i.e., & %)?\ (A) -20 J. (B) -40 J. (C) -80 J. (D) -120 J.