Products
Rewards
from HOLOOLY

We are determined to provide the latest solutions related to all subjects FREE of charge!

Enjoy Limited offers, deals & Discounts by signing up to Holooly Rewards Program

HOLOOLY

HOLOOLY
TABLES

All the data tables that you may search for.

HOLOOLY
ARABIA

For Arabic Users, find a teacher/tutor in your City or country in the Middle East.

HOLOOLY
TEXTBOOKS

Find the Source, Textbook, Solution Manual that you are looking for in 1 click.

HOLOOLY
HELP DESK

Need Help? We got you covered.

## Q. 16.9

The inverse of the Hubble parameter has the units of time. Use the value of the Hubble constant 71 (km/s)/Mpc to find the upper limit t for the age of the universe.

Strategy We will need to understand the relationship between the various astronomical parameters to do this. We begin with the units given by $H_{0}^{-1}$ and convert the result to years.

## Verified Solution

We begin with

\begin{aligned}\tau &=\frac{1}{H_{0}}=\frac{1}{71 \frac{ km }{ s \cdot Mpc }} \\&=\frac{1 s \cdot Mpc }{71 km } \frac{1 y }{3.16 \times 10^{7} s } \frac{10^{6} pc }{ Mpc } \frac{3.26 ly }{1 pc } \frac{9.46 \times 10^{12} km }{ ly } \\&=13.7 \times 10^{9} y\end{aligned}

The upper limit of the age of the universe is 13.7 Gly.