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+### Statement
+
+$5.5.11.$ [Insert the problem statement]
+
+### Solution
+
+In order that the pressure of gas in a container with constant volume $V_0$ and temperature $T_0$ increases from atmospheric pressure $P_0$ to $P$, the number of moles of gas molecules must increase by $(P-P_0)V_0/(RT_0)$. Each stroke of the pump injects gas of volume $V$ at atmospheric pressure $P_0$ and temperature $T_0$, which has $P_0V/(RT_0)$ moles of gas molecules, into the container. Thus, the number of strokes required is $(P-P_0)V_0/(P_0V)$.
+
+#### Answer
+
+[Insert a concise answer or boxed result]