At the BIG Bang, the universe expanded from a single point into a sphere of radi

Question

At the BIG Bang, the universe expanded from a single point into a sphere of radius about 5 light years rather quickly. estimate the entropy increase in the universe during this expansion under two different assumptions:

a) First assume that at the Big Bang, the diameter of the universe was 1 meter

b) Now assume that at the big bang, the diameter was zero, ie, the universe was volume-less. How does this demonstrate that we cannot know what the universe was like at the big bang, only what it was like immediately after the big bang?

Explanation / Answer

a) assuming that the temperature of the whole universe remains constant thus the change in the netrope would be given by the formula that is = R*ln(V2/V1)

V2/V1 = (5*9.46*10^15)^3

    change in entropy = 319.218 KJ/mol

b) here v1 = 0 thsu the change in entropy here is apparently infinte. thus we can only find the increase in the entropy of the universe from just after the BIG BANG and not from it.

please give me the points ... thanks

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