Consider the Universe to be spherical, mostly hydrogen gas molecules undergoing adiabatic expansion over its lifetime....

Consider the Universe to be spherical, mostly hydrogen gas molecules undergoing adiabatic expansion over its lifetime.

a. Using the ideal gas law and properties of adiabatic processes show T V γ − 1= C

where C is a constant.

b. The current Universe extends at least 15 billion light-years in all directions (r = 1.4 x 1026m), 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.

c. If the density of the gas in the Universe, N/V, is one hydrogen atom per cubic meter, calculate the current pressure of the Universe.

d. Estimate the pressure of the Universe when it was the size of a nutshell. (You may get a calculator overflow error)

Expert Solution

genius_generous answered 2 years ago

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