(A) Calculate the Gravitational Potential Energy Associated With $$1 \mathrm {~m} ^ { 3 } \text { of sea }$$

(a) Calculate the gravitational potential energy associated with $$1 \mathrm {~m} ^ { 3 } \text { of sea }$$ water that is lifted through a vertical distance of $1 \mathrm {~km}$ .
(b) Compare the result in part (a) with the total thermal energy difference between $1 \mathrm {~m} ^ { 3 }$ of seawater at $4 ^ { \circ } \mathrm { C }$ and $1 \mathrm {~m} ^ { 3 }$ of seawater at $22 ^ { \circ } \mathrm { C }$ .