Solved: Consider the Universe to be an adiabatic expansion

Chapter , Problem 27

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Consider the Universe to be an adiabatic expansion of atomic hydrogen gas. (a) Use the ideal gas law and Equation 12.8a to show that TV g21 5 C, where C is a constant. (b) The current Universe extends at least 15 billion light-years in all directions (1.4 3 1026 m), and the current temperature of the Universe is 2.7 K. Estimate the temperature of the Universe when it was the size of a nutshell, with a radius of 2 cm. (For this calculation, assume the Universe is spherical.)

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