Answer
The energy required to raise the temperature of the ocean water is $5.4\times 10^4~J$
Work Step by Step
We can find the mass of the ocean water as:
$m = \rho~V$
$m = (1025~kg/m^3)(1.0~m^2)(0.5\times 10^{-3}~m)$
$m = 0.5125~kg$
We can find the energy required to raise the temperature of this mass of ocean water.
$Q = mc~\Delta T$
$Q = (0.5125~kg)(4186~J/kg~C^{\circ})(25^{\circ}C)$
$Q = 5.4\times 10^4~J$
The energy required to raise the temperature of the ocean water is $5.4\times 10^4~J$.
