Suppose That the Hubble Constant Had the Value 35

question 23

Short Answer

Suppose that the Hubble constant had the value 35.0 km/s per million light-years. (1y=3.156 x 10⁷s ,m_h ≈ m_proton = 1.67 × 10^-27 kg,c = 3.00 × 10⁸ m/s, 1 light-year =9.461 x 10¹⁵ m,G = 6.67 × 10^-11 N ∙ m²/kg²)
(a)What would be the maximum density the universe could have that would still allow it to expand forever?
(b)Under the conditions of part (a),how many hydrogen atoms would we expect to find,on the average,in a volume of space measuring 3.00 m by 8.00 m by 8.00 m?

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Definitions:

Ionic Compound

An ionic compound is a chemical compound composed of ions held together by electrostatic forces termed ionic bonding, typically formed between metal cations and non-metal anions.

Phosphorus

A reactive, non-metallic element found in Group 15 of the periodic table, essential for life.

Calcium

A chemical element with the symbol Ca and atomic number 20, a reactive, pale yellow metal that forms compounds with many other elements.

Ionic Formula

A notation that represents the composition of an ionic compound by showing the ratio of ions present in the compound.