1. || Prove that the work done in an adiabatic process i S f is W s = ( p f V f - p i V i (/(1 – ). 2. || A Carnot refrigerator operates between reservoirs at -20°C and 50°C in a 25°C room. The...

1. || Prove that the work done in an adiabatic process i S f is
W
_s
= (p
_f
V
_f
-
p
_i
V
_i
(/(1 –
).

2. || A Carnot refrigerator operates between reservoirs at -20°C and 50°C in a 25°C room. The refrigerator is a 40 cm
 40 cm
 40 cm box. Five of the walls are perfect insulators, but the sixth is a 1.0-cm-thick piece of stainless steel. What electric power does the refrigerator require to maintain the inside temperature at –20°C?