A watt is 1 amp times 1 volt. A watthour is one amp times 1 volt times one hour. This is a measurement of power over time. If your phone charges at 5V and 2A then that is 10 Watts. A 10 watthour battery can charge that phone for one hour. Weight of the battery has nothing to do with how much charge it can hold. Typically kilowatt hours are used in appliance power. The power meter on the side of your house measures your power usage in kilowatt hours.
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