suppose that the Hubble constant had a value of H = 40 km/s/Mpc. What would be the age of the universe?
To calculate the age of the universe, we can use the formula:
Age = 1 / H0
where H0 is the Hubble constant in units of km/s/Mpc.
Given H0 = 40 km/s/Mpc, we can plug this value into the formula:
Age = 1 / 40 km/s/Mpc
Age = 1 / 40 * (1/Mpc) * (1 km/s) * (1 Mpc/3.086e+19 km) * (3.154e+7 s/year)
Age = 7.911e+17 years
Therefore, if the Hubble constant had a value of H = 40 km/s/Mpc, the age of the universe would be approximately 7.911e+17 years.