$[-/1$ Points$]$

OSCOLPHYS$201614\mathrm{.}3.$WA$\mathrm{.}029.$TUTORIAL.

A $0\mathrm{.}250-kg$ aluminum bowl holding $0\mathrm{.}800$ kg of soup at $25\mathrm{.}2C$ is placed in a freezer. What is the final temperature if $420$ kJ of energy is transferred from the bowl and soup? Assume the soup has the same thermal properties as that of water, the specific heat of the liquid soup is $1\mathrm{.}00$kca$\frac{l}{kg*C},$ frozen soup is $0\mathrm{.}500$kca$\frac{l}{kg*C},$ and the latent heat of fusion is $79\mathrm{.}8$kca$\frac{l}{k}g.$ The specific heat of aluminum is $0\mathrm{.}215$kca$\frac{l}{kg*C}.$

$C$

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$6.[-/1$ Points$]$

OSCOLPHYS$201614\mathrm{.}3.$WA$\mathrm{.}032.$

During a marathon race David uses energy at a rate of $252$ W $.$ What volume of body fluid does he lose in the $5\mathrm{.}5$ hours of the race if $15\mathrm{.}0\%$ of the energy goes to the muscle tissue and the rest is used in removing the perspiration from the body. The latent heat of vaporization is $2\mathrm{.}41{10}^6\frac{J}{k}g$ at $37\mathrm{.}0C$ and density of water is $1000k\frac{g}{m^3}.$