When a thermodynamic system is taken from an initial state I to a final state F along the path IAF, as shown in Fig. the heat energy absorbed by the system is `Q = 55 J` and work done by the system is `W = 25 J`. If the same system is taken along the path IBF, the value of `Q = 35 J`.
(a) If `W = - 15 J` for the curved path FI, how much heat energy is lost by the system along this path ?
(b) If `U_(1) = 10 J`, what is `U_(F)` ?
(d) If `U_(B) = 20 J`, what is Q for the process BF and IB ?

Explanation

To solve the given problem step by step, we will break it down into parts (a), (b), and (c) as per the question.

### Given Data:
1. For path IAF:
- Heat absorbed, \( Q_{IAF} = 55 \, J \)
- Work done, \( W_{IAF} = 25 \, J \)

2. For path IBF:
...