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The moon is (effectively) at the same distance from the sun asthe Earth, but has an albedo of only 0.12, and is a slow rotator.What would it's average surface ...

Question

The moon is (effectively) at the same distance from the sun asthe Earth, but has an albedo of only 0.12, and is a slow rotator.What would it's average surface temperature be (convert your answerto Celsius, but you do not need to indicate units)?Would this object be considered to have "habitable" surfacetemperature? (In other words, according to your temperature,would liquid water be able to exist on its surface)?

The moon is (effectively) at the same distance from the sun as the Earth, but has an albedo of only 0.12, and is a slow rotator. What would it's average surface temperature be (convert your answer to Celsius, but you do not need to indicate units)? Would this object be considered to have "habitable" surface temperature? (In other words, according to your temperature, would liquid water be able to exist on its surface)?



Answers

A planet with no atmosphere at 1 AU from the Sun would have an average blackbody surface temperature of $279 \mathrm{K}$ if it absorbed all the Sun's electromagnetic energy falling on it (albedo $=0$ ). a. What would be the average temperature on this planet if its albedo were 0.1 , typical of a rock-covered surface? b. What would be the average temperature if its albedo were $0.9,$ typical of a snow-covered surface?

Let's first start by calculating the RMS speed of the hydrogen molecule at 357 kelvin. So here's our formula for RMS speed three times the ideal gas constant. Mhm temperatures 357th Galvin molar mass is 2.0 times 10 to the minus three kg per mole for the H two molecule. This gives us an RMS speed of 2.13 They tend to be third meters per second. Now in the question, the escape velocity of the moon. Sure. And now this is given to us in the question this is equal to two point 37 kilometers per second. Mhm. If we convert this here, one kilometers equal to 8000 m this is equal to 237 tend to be third. Yeah, meters per second. So comparing these two numbers here we can see the estate velocity Yeah. Of the moon is slightly greater so it is greater. Mhm. Yeah. And the r M. S speed. Mhm. True. Okay. Of the H two molecules, Yeah.

If you remember the frantic energy one killed is three by two. Katie, which he's also equal don't happen. The square having me Aramis Square. So we lose this equation. If you can't do we see that he is M V squared Buddy. Three kids. That's it. We'll use this to find our temperature. Our escape velocity. It's 2.38 meters. You don't go for second on the hydrogen molecules. How a molecular myself Who point 0016 Grab Ramon. This would be in our favor using getting these units. The mass is 2.16 cram for mortals, which means find the mass of a single atom. We simply divided by six avocado number, which is what we'll call it and Mark. Now we are Timmy Square is simply 2.38 into 10 killed square. Remember that It's kilometres, so that's 10 cube meters He wanted by three times. Remember that, Kay the boatman Constant is simply the gas constant divided by other Got your number If you notice the other guard, your number has canceled out. Now if you remember the value off our is 8.314 jewels for more Kelvin. And that is it. This. Also remember that to convert this grabs into kilograms, you multiply by 10. Bar my history and that's it. You plant this in, tow a calculator and you'll see that the value is 457 0.9 Kelvin, which is about 4 58 killing. She's the same if you can read in tow degree Celsius as 1 85 86 simplest.

Hi. I have driven. Here it is, given that difference and yeah, yeah. Freezing and wearing white Oh, oh, Mhm it. 27.4 degrees searches right on and escape. The suppression is divided. Yeah, into mm 100 on the skin. The difference in yeah, temperature between the freezing point. Yeah. Mhm. Bobby and Boiling point. All born escape. Mm. Can we record? Yeah. And then minus zero on, um, escape 1 55.2 minus 1. 82.6 on sensitive skin. So we will get one or maybe one division or made skills. Start to why? To support on challenges, Escape or one degree. So this is the start to 3.649 And the skin? Yeah. Oh, one caravan is cooled to minus 2 73 D Researches are sure. Minus 2, 73 23.649 And the scale. So it would be 9. 66.72 on main escape. Mhm turn. Well, yeah, that is negative. 996.7 to all. Okay, medals up. I spiked off. Meeting is generally on an escape so directly on em escape being guilt in the same bedroom of minus 996 point 72 So absolute gentle mm camp richer in Calvin equal to minus 996.72 on an escape. That is the answer for it. Thanks for watching it.

Nurture. And this problem, the a hypothetical scale, is given. That is, um, attain skill and the freezing point off Metin and the boiling point off Milton are given Ah as minus 1 82.6 degrees Celsius n minus 1 55.2 degrees seances and in terms of Metin skill that is equal in tow. Zero degree Metin the freezing point and the boiling point is 100 degree Metin, and we need to find out the absolute zero point on the Kelvin scale that is zero degree Kelvin. How much is equal in value? In terms Self Minton's killed four days faster. Let us find out the absolute zero point or on the cells, your skills. So when when we seijiro degree Kelvin. So zero degree Kelvin is equal to minus 2 73.2 degree Celsius, and this value itself is below the freezing point off me 10 and by how much that is. The difference between the freezing point off maintain on the absolute zero point on the Kelvin scale is what we need to find out first. So differences, um minus so 73 point two degree Celsius plus 1 82 point six decrease else's and we catch about minus 90.6. Decree senses. That means, ah, the absolute value off on the Calvin skill is below the freezing point off the detained by a value off 90.6 degrees Celsius and this value we need to convert into de grim maintain skill. So how to do that? Before that are based on the given data, we can find out the difference as 100 degree me 10 value is equal to the boiling point off meeting that is given as people. Yeah, so the boiling point of my attorneys given us minus 1 55 So that is minus 1 50 5.2 degree since yes, plus, the freezing point is 1 82.6 degrees Celsius, so that means, that is the difference is equal to 20 seven point four degree Celsius. That means the 100 degree me 10 is equal into 100 degree meeting is equal into 27 point for the results is now we need to find out for 90.6 degrees and says What is I call in value off our degree meeting that we can cal flick by converting 90.6. So that does do that. So this gun watch 90.6 minus 90.6 degrees senses multiplied. Match with 100 that is Decree me 10. Divide Dutch by 27.4 and we will get an equal in value off. Ah, 3 30 point seven degree maintain And this synthesis negative. So this is a negative value. Or approximately. We will say that miners 3 30 one degree meeting. So the absolute skill if you take absolute zero point on the Calvin skill is equal to zero degrees Kelvin that is equal into mine.


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