(Answered) Shortly after detonation the fireball of a uranium fission

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Shortly after detonation the fireball of a uranium fission bomb consists of a sphere of gas radius 15 m and a temperature 3E5 K. Assuming that the expansion is adiabatic and that the fireball remains spherical, estimate the radius of the ball when the temperature is 3000K. (Take gamma = 1.4).

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