Show that the following relations hold for a reversible adiabatic expansion of an ideal gas: TV-1 = a constant T = another constant pl-1/y The fireball of a uranium fission bomb consists of a sphere of gas of radius 15 m and temperature 300,000 K shortly after detonation. Assuming that the expansion is adiabatic and that the fireball remains spherical, estimate the radius of the ball when the temperature is 3000 K. (Take y = 1.4 for air.)
Show that the following relations hold for a reversible adiabatic expansion of an ideal gas: TV-1 = a constant T = another constant pl-1/y The fireball of a uranium fission bomb consists of a sphere of gas of radius 15 m and temperature 300,000 K shortly after detonation. Assuming that the expansion is adiabatic and that the fireball remains spherical, estimate the radius of the ball when the temperature is 3000 K. (Take y = 1.4 for air.)
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Transcribed Image Text:Show that the following relations hold for a reversible adiabatic
expansion of an ideal gas:
TV-1 = a constant
T
= another constant
pl-1/y
The fireball of a uranium fission bomb consists of a sphere of
gas of radius 15 m and temperature 300,000 K shortly after
detonation. Assuming that the expansion is adiabatic and that the
fireball remains spherical, estimate the radius of the ball when
the temperature is 3000 K. (Take y = 1.4 for air.)
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