100 watt light bulb at 120 volts draws 0.8 amps. This equates to 8 amps at 12 volts, plus something to account for inefficiences in the inverter.
For the sake of argument, lets assume the inverter is 80% efficient, which means it"ll draw 10 amps from the battery with a 100 watt load on the inverter.
A reasonable size gel-cell battery may have something on the order of 10 - 20 amp-hours capacity, which means you could run the inverter with a 100 watt load for 1 to 2 hours. With a 400 watt load, you would be drawing 40 amps from the battery, and it would last somewhere between 15 and 30 minutes.
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