A Minion of mass 30 kg wants to lift off the ground using his helium-filled balloon. Determine the volume of the balloon required for him to float near the ground at standard ISA conditions. The pressure of the helium inside the balloon is 5% greater than the local ambient atmospheric pressure. Assume ISA properties and neglect the weight of the balloon.

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg.how much energy e must be supplied to the device? express your answer in joules.