Lake Erie contains roughly $4\mathrm{.}001011$ m$3$ of water.

$($a$)$ How much energy is required to raise the temperature of that volume of water from $15\mathrm{.}8\backslash$deg C to $20\mathrm{.}8\backslash$deg C$?($Assume the density of this water to be equal to that of water at $20\backslash$deg C and $1$ atm.$)$

J

$($b$)$ How many years would it take to supply this amount of energy by using the $1,400-$MW exhaust energy of an electric power plant?