
\sect{Adiabatic versus sudden expansion of an ideal gas}

%Baruch's  A14

N atoms of mass $m$ of an ideal classical gas are in a
cylinder with insulating walls, closed at one end by a piston. The
initial volume and temperature are $V_0$ and $T_0$, respectively.
\begin{itemize}
\item[(a)] If the piston is moving out rapidly the atoms cannot
perform work, i.e. their energy is constant. Find the condition on
the velocity of the piston that justifies this result.
\item[(b)] Find the change in temperature, pressure and entropy if
the volume increases from $V_0$ to $V_1$ under the conditions
found in (a).
\item[(c)] Find the change in temperature, pressure and entropy if
the volume increases from $V_0$ to $V_1$ with the piston moving
very slowly, i.e. an adiabatic process.\\
\end{itemize}

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