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The fuel consumption will be a function of the actual power demand of the generator, and various machine efficiencies. Hence, following start up the fuel consumption will be proportional to the load.
Actual fuel consumption will vary between manufacturers and models, and manufacturers will publish fuel consumption under various conditions for each model in a brochure, which you should consult as part of the decision making process.
Diesel engines are inherently more efficient than petrol, so there will be differences in consumption between the two types, and I cannot give a single generalised figure.
You should try to compare brochures from a couple of manufacturers. Try comparing Cat, Lister Petter and Lombardini. You also need to consider the need for de-rating the engine based on installation and location. Again information on this topic will be presented in brochures.