How does the thermal energy of a swimming pool compare to the thermal energy of a lake at the same temperature?

a.
thermal energy is the total potential energy of the particles in a substance. the lake is larger, so it contains more total particles than the swimming pool. the thermal energy of a lake is greater than a swimming pool because the lake is larger.

b.
thermal energy is the total kinetic energy and potential energy of the particles in a substance. the lake is larger, so it contains more total particles than the swimming pool. the thermal energy of a lake is greater than a swimming pool because the lake is larger.

c.
thermal energy is the total kinetic energy of the particles in a substance. the lake is more spread out, so it contains fewer total particles than the swimming pool. therefore, the thermal energy of a lake is less than that of a swimming pool.

d.
thermal energy is the total potential energy of the particles in a substance. the lake is more spread out, so it contains fewer total particles than the swimming pool. therefore, the thermal energy of a lake is less than that of a swimming pool.

i think it is b, but can someone me if im correct or not?