The planet Jupiter has a surface temperature of 140 K and a mass 318 times that of Earth. Mercury (the planet) has a surface temperature between 600 K and 700 K and a mass 0.05 times that of Earth. On which planet is the atmosphere more likely to obey the ideal-gas law? Explain.

Question

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Hey everyone in this example, we need to identify the planet below where the gasses are more likely to behave ideally. So we want to recall what behaving ideally as a gas really means and we would recall that that corresponds to having ideal behavior at high temperatures and low pressures. We also want to recall that the lower the mass of something that will correspond to a lower pressure. So looking at the information of our given planets to consider, we have either venus or we have Neptune, we're told that venus has a surface temperature of 7 37 kelvin, which is a pretty high temperature and it has a mass that is 370.815 times that of earth Moving on to Neptune, we have a much lower temperature at 73 Kelvin with a mass that is 17.1 times that of Earth. So it has a much larger mass than our massive earth and also much larger than Venus. So again, as we stated, ideal behavior of a gas would occur at high temperature, which we do have on venus at 7 37 kelvin and low pressure. And we would have low pressure because our mass for venus is much lower in comparison to Neptune's mass. And so that means venus would be the planet where we would have ideal behavior of gasses occur. So, a is our final answer. If you have any questions, please leave them down below and I will see everyone in the next practice video

The planet Jupiter has a surface temperature of 140 K and a mass 318 times that of Earth. Mercury (the planet) has a surface temperature between 600 K and 700 K and a mass 0.05 times that of Earth. On which planet is the atmosphere more likely to obey the ideal-gas law? Explain.

Verified Solution

Key Concepts

Ideal Gas Law

Temperature and Gas Behavior

Atmospheric Composition and Pressure