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At what depth in the atmospheres of the gas giants does the density of their atmospheres equal 1 gram per cubic centimeter? What is the pressure and temperature at these depths? Are the radiations levels congenial to human life at these depths?

Wikipedia's Saturn; Physical characteristics says

Finally, the lower layers [of the Saturnian atmosphere], where pressures are between 10–20 bar and temperatures are 270–330 K, contains a region of water droplets with ammonia in aqueous solution.

What is the density of the atmosphere in the lower atmosphere? The lower atmosphere of Neptune is 275K at 50 bar.

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Density, Pressure, and Temperature
For all of the entries in the table below (with the exception of Neptune's temperature) I have read the corresponding values off of figures in from the references. Given the modeling uncertainties I don't think there's much value in going beyond 1 or 2 significant figures.

For Neptune's temperature I used equation 5 from Interior models of Uranus and Neptune: $$T = C\rho^\gamma$$ where $T$ is temperature, $\rho$ is density, and $C$ and $\gamma$ are model constants. Using the question specified density of 1 g/cm2 and the model defined value of $\gamma=0.5$ we can solve for $C$ given a known pressure / temperature pair and then compute the corresponding temperature at the desire pressure.

For Neptune, the paper assumes, for the 1-bar pressure level a density of $\rho = 4.38\times 10^{-4} g/cm^{-3}$ and a temperature $T=75K$. Substituting into the model and solving for $C$ (I'm ignoring units for now as they get goofy with this model): $$75 = C\sqrt{4.38\times 10^{-4}}$$ $$C\approx3584$$

Now using this for a density of $\rho = 1 g/cm^{-3}$: $$T=3584\sqrt{1}=3584$$ I will round this number to two significant figures in the table (3600 K).

Planet 1 g/cm2 Depth (km) Pressure* (MBar) Temperature* (K)
Jupiter 15,500 2 6,500
Saturn 23,900 2 5,000
Uranus 6,100 0.5 4,800
Neptune 4,700 0.4 3,600

*-At the 1 g/cm2 depth

Density Profiles
To address the question about the density in the lower atmosphere I am including plots from the references here.

Jupiter (Figure from Structures of the planets Jupiter and Saturn)
Jupiter Density Profile

Saturn (Figure from Structures of the planets Jupiter and Saturn)
Saturn Density Profile

Uranus and Neptune (Figure from Interior models of Uranus and Neptune)
Uranus and Neptune Density Profiles

References

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