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\begin{document}

Residence time of water in atmosphere. \( \rho _{water}H/meanrain \)=\( \frac{10g/cm^{2}}{10^{2}g/cm^{2}/year}\sim 1month \)

This translates into a distance of \( 10^{4}km \).

Heating/cooling time

\begin{itemize}

\item heat flux=\(<\)S\(>\)

\item heat stored is \( \frac{7}{2}nkTH=3*10^{12}erg/cm^{2} \)

\item \( t_{atm}(\triangle T=20K) \)= \( 10^{6}s\sim 1week \)

\end{itemize}

Release of latent heat by condensaton of water gives, \( \frac{\triangle T}{T}=\frac{\frac{\rho _{vap}}{kT}}{\frac{7}{2}nkT}=.1 \) so \( \triangle T=30K \).

Timescale for ocean heat/cool is \( t_{ocean}=700\frac{\triangle T}{T}y \)

\end{document}
