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A hot-air balloon has a volume of 2600m3. The balloon fabric (the envelope) weighs 810 Newton. The basket with gear and full propane tanks weighs 1500 Newton.

A: If the balloon can barely lift an additional 2900 Newton of passengers, breakfast, and champagne when the outside air density is 1.23 kg/m3. Obtain the average density of heated gases in the envelope?

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