Answer
a) 41kJ
b) 35kJ
c) 47 kJ
d) a
Work Step by Step
a.1) $\Delta$E = q + w (The internal energy is the sum of the heat and the work.)
a.2) $\Delta$E = -47kJ + 88kJ = 41kJ (Plug in values for q and w)
b.1) $\Delta$E = q + w (The internal energy is the sum of the heat and the work.)
b.2) $\Delta$E = 82kJ + -47kJ = 35kJ (Plug in values for q and w)
c.1) $\Delta$E = q + w (The internal energy is the sum of the heat and the work.)
c.2) $\Delta$E = 47kJ + 0kJ = 47kJ (Plug in values for q and w)
d) The only one with a positive w is letter a.