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(a) Derive the following formula for a quasi-static adiabatic process for the ideal gas, assuming, to be constant:

TVγ-1 = const.

(b) At about 0.1 ms after detonation of a 20-kiloton nuclear fission bomb, the "fireball" consists of a sphere of gas with a radius of about 40 ft and a uniform temperature of 300,000 K. Making rough assumptions, estimate the radius at a temperature of 3000 K.

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