Cosmology: Suppose That the Hubble Constant Had the Value 35

question 38

Essay

Cosmology: Suppose that the Hubble constant had the value 35.0 km/s per million light-years. (1 y = 3.156 × 10⁷ s, m_H ≈ m_proton = 1.67 × 10^-27 kg, c = 3.00 × 10⁸ m/s, 1 light-year = 9.461 × 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:

Elastic Demand

A situation where the quantity demanded of a good or service changes significantly due to a change in its price.

Marginal Revenue Curve

A curve that shows the change in total revenue resulting from selling one additional unit of a product or service.

Standardized Product

Products that are uniform in quality and features, offering no significant difference from the same products offered by other sellers.

Differentiated Product

A product that is distinct from similar products offered by competitors, often through quality, features, or branding.