Problem: If the Hubble constant H0 = 70 km/s/Mpc, what is the Hubble time (the time it would take for the universe to reach its current size if it has been expanding at this rate)?
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If the Hubble Constant was 50 km/s/Mpc, what would the Hubble time be?
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The Hubble time $\left(1 / H_{0}\right)$ represents the age of a universe that has been expanding at a constant rate since the Big Bang. Assuming an $H_{0}$ value of $70 \mathrm{km} / \mathrm{s} / \mathrm{Mpc}$ and a constant rate of expansion, calculate the age of the universe in years. How is the age different if $H_{0}=75 \mathrm{km} / \mathrm{s} / \mathrm{Mpc} ?\left(\text { Note: } 1 \text { year }=3.16 \times 10^{7}\right.$ seconds and $1 \mathrm{Mpc}=3.09 \times 10^{19} \mathrm{km} .$
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