Consider a large, helium-filled party balloon with a volume of 1.23 ft^3. The lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. Using this fact, we can derive Archimedes' principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. Assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft^3 , and the latex and string used to make it is weightless. Calculate the minimum number of balloons needed to carry Mr. Fredriksen's house which weighs 141,300 Ibs. Note: Assume that the molecular weight of air is 28.93 g/mol and that of helium is 4.008 g/mol.

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! Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A Carnot heat pump is to be used to heat a house and maintain it at 25°C in winter. On a day when the average outdoor temperature remains at about 2°C, the house is estimated to lose heat at a rate of 55,000 kJ/h. The heat pump consumes 5.15 kW of power while operating. HP 25°C 2°C 55,000 kJ/h How long did the heat pump run on that day?