Critical Density: H0=70km/s.MPC, Fate of Universe

AI Thread Summary
To find the critical density (p0) for the universe with H0=70 km/s/Mpc, the relevant equation is p0 = (3H0^2)/(8πG), where G is the gravitational constant. The calculated critical density is approximately 9.2 x 10^-30 gm/cm^3. Given that the average density of the universe is 5 x 10^-28 gm/cm^3, which is greater than the critical density, the universe is likely to be closed and will eventually recollapse. This indicates that the fate of the universe is to stop expanding and reverse into a Big Crunch scenario. Understanding these calculations is essential for grasping the universe's ultimate fate.
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hello, can anyone help me with this problem please:

For H0=70 km/ S . MPC , what is the critical density (p0) for the universe in gm/cm^3? . if the average density of the universe is 5 * 10 ^ -28 gm/cm^3 , what is the fate of the universe.

thanks ,
 
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