Products
Rewards 
from HOLOOLY

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

Please sign up to our reward program to support us in return and take advantage of the incredible listed offers.

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

HOLOOLY 
BUSINESS MANAGER

Advertise your business, and reach millions of students around the world.

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.

Chapter 16

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.

Step-by-Step

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.