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\begin{document}

\frame{\frametitle{\b Temperature and Heat - 1} \medskip

{\bf Fahrenheit and Celcius (1):} Solve $C=5\,(F-32)/9$ for C=F.
Convert the result in into Kelvin (K) by adding 273.15.
\bigskip

{\bf Energy Dissipation (2):} Solve $Q=4m\,c\,
\triangle T =M\,v_0^2/2$ for $\triangle T$.  \bigskip

{\bf Melting Iceberg (3):} With $p$ for percent,
$$ Q=Q_1+Q_2\,,~~Q_1=p\,M\,c\,\triangle T\,,~~Q_2=p\,M\,L_f\,,$$
where $L_f=333.5\times 10^3\ J/kg$ is the latent heat of fusion.
\bigskip

{\bf Specific Heat of a Metal (4):} Solve
$$ c_m\,M\,(T-T_f)=c_m\,M_c\,(T_f-T_i)+c_w\,M_w\,(T_f-T_i) $$
for $c_m$. The specific heat of water is $c_w=4184\,J/kg/K$.
\vskip 20pt }


\frame{\frametitle{\b Temperature and Heat - 2} \medskip

{\bf Steam to Ice (5).} With $s$ for steam, $w$ for water:
$$ Q = M\,\left[(T-T_s)\,c_s+L_s+(T_s-0)\,c_w +L_f\right]\,,$$
where $T$ is the initial temperature of the steam, $T_s=100~C$ the
phase transition temperature of steam to water, the latent heat
of vaporization is $L_s=2257\times 10^3\ J/kg$. The specific 
heat of water $c_w$  and the latent heat $L_f$ were already 
given above.
\bigskip

{\bf Potential Energy to Heat (6):} Solve
$$ M\,g\,H = M\,c_{\rm lead}\,(T_f-T_i) $$
for $T_f$ (note that $M$ drops out).  \bigskip

\vskip 20pt }
\end{document}
