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A hot air balloon, initially an expandable sphere 10 meters in radius, contains 100 kg of...

A hot air balloon, initially an expandable sphere 10 meters in radius, contains 100 kg of helium at a temperature of 25 degrees Centigrade. 1000 KJoules of heat are transferred to the gas. (Helium cp=5.19 kJ/(kg-K), cv=3.12 kJ/(kg-K)(Volume of a sphere = 4/3*Pi*r3)

  1. What is the final pressure in the balloon if the process takes place at constant volume?
  2. What is the final volume in the balloon if the process takes place at constant pressure?
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