The right answer for the question that is being asked and shown above is that: "B) allowing Carolina planters to expand rice cultivation into Georgia's lowlands."
-I hope this is the answer you are looking for.
equilibrium i think if not sorry
(a) 
The moment of inertia of a uniform-density disk is given by

where
M is the mass of the disk
R is its radius
In this problem,
M = 16 kg is the mass of the disk
R = 0.19 m is the radius
Substituting into the equation, we find

(b) 142.5 J
The rotational kinetic energy of the disk is given by

where
I is the moment of inertia
is the angular velocity
We know that the disk makes one complete rotation in T=0.2 s (so, this is the period). Therefore, its angular velocity is

And so, the rotational kinetic energy is

(c) 
The rotational angular momentum of the disk is given by

where
I is the moment of inertia
is the angular velocity
Substituting the values found in the previous parts of the problem, we find

Answer:
Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.
Explanation:
First law of thermodynamics known as Law of Conservation of Energy, states that energy can neither be created nor destroyed; energy can only be transferred or changed from one form to another.
The first law of thermodynamics states that the change in internal energy of a system equals the net heat transfer into the system minus the net work done by the system. In equation form, the first law of thermodynamics.
This is the first law of thermodynamics
ΔE= Q− W
ΔE= change internal energy of the system.
Q= heat transfer into the system
And
W= work done by the system.
Rewriting the equation
ΔE= Q− W
Q=ΔE +W
Show that the heat flowing l into the system is transferred to the internal energy of the system and the work done by the piston
So the third option is correct