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The Raspbery Pi runs on a 5 volt power supply. 5 watts at 5 volts is 1 ampere. 1 ampere is 1000 milliamperes. This would seem to indicate that a battery pack rated at 5000mAH (5000 milliamperes per hour) should run for 5 hours with a load that is drawing 1 ampere.
However, this presupposes that the battery is delivering a potential difference of 5 volts. Since the Raspberry Pi contains a 5 volt linear regulator on it's power input rail, the battery has to deliver at least 6.5 volts for the Raspberry Pi to function correctly (to compensate for the voltage drop inherent in any linear regulator.)
Also, if the battery's voltage is significantly higher than this, it would drain much faster and possibly damage the Raspberry Pi board.
Look up Ohm's Law for more information on these calculations.
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