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$9.[-/1$ Points$]$

OSCOLPHYS$201614\mathrm{.}3.$WA$\mathrm{.}028.$

A large power plant heats $1077$ kg of water per second to high$-$temperature steam to run its electrical generators.

$($a$)$ How much heat transfer is needed each second to raise the water temperature from $35\mathrm{.}0C$ to $100C,$ boil it$,$ and then raise the resulting steam from $100C$ to $450C?$ Specific heat of water is $4184\frac{J}{kg*C},$ the latent heat of vaporization of water is $2256k\frac{J}{k}g,$ and the specific heat of steam is $1520\frac{J}{kg*C}.$

J

$($b$)$ How much power is needed in megawatts? $($Note: In real power plants, this process occurs under high pressure, which alters the boiling point. The results of this problem are only approximate.$)$

MW

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