What would be the expected velocity of a galaxy located 100 million light-years away, given Hubble's constant is 22 kilometers per second per million light-years?

To determine the expected velocity of a galaxy based on its distance from us and Hubble's constant, we can use Hubble's Law. Hubble’s Law states that the recessional velocity of a galaxy (the speed at which it is moving away from us) is directly proportional to its distance from us. The relation can be expressed as:

[ v = H_0 \times d ]

where ( v ) is the velocity, ( H_0 ) is Hubble's constant, and ( d ) is the distance to the galaxy.

In this scenario, Hubble's constant is given as 22 kilometers per second per million light-years, and the distance to the galaxy is 100 million light-years.

To find the velocity, we can plug the values into the formula:

[ v = 22 , \text{km/s/Mly} \times 100 , \text{Mly} ] [ v = 22 , \text{km/s/Mly} \times 100 ] [ v = 2200 , \text{km/s} ]

This calculation shows that the expected velocity is 2200 kilometers per second. The galaxy would therefore be moving away