There is a balloon in which the pressure due to the restoring force of the rubber is proportional to the square of the inner volume. Air of 300K and 1 atmosphere was injected into the rubber balloon using an electric pump to make the volume of the balloon 20L, and at this time, the internal pressure was measured as 11 atmospheres. When the temperature inside the balloon is 500K after filling, calculate the minimum amount of electrical energy consumed by the electric pump during filling. (However, the external air pressure is 1 atmosphere, and air is assumed to be a diatomic ideal gas.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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3. There is a balloon in which the pressure due to the restoring force of the rubber is proportional to the square of the inner volume. Air of 300K and 1 atmosphere was injected into the rubber balloon using an electric pump to make the volume of the balloon 20L, and at this time, the internal pressure was measured as 11 atmospheres. When the temperature inside the balloon is 500K after filling, calculate the minimum amount of electrical energy consumed by the electric pump during filling. (However, the external air pressure is 1 atmosphere, and air is assumed to be a diatomic ideal gas.)
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