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Convert the following Kelvin temperatures to the Celsius and Fahrenheit scales: (a) the midday temperature at the surface of the moon $(400 \mathrm{K}) ;$ (b) the temperature at the tops of theclouds in the atmosphere of Saturn $(95 \mathrm{K}) ;(\mathrm{c})$ the temperature at the center of the sun $\left(1.55 \times 10^{7} \mathrm{K}\right)$ .

a) $T_{\mathrm{C}}=127^{\circ} \mathrm{C} \quad, \quad T_{\mathrm{F}}=260^{\circ} \mathrm{F}$b) $T_{\mathrm{C}}=-178^{\circ} \mathrm{C} \quad, \quad T_{\mathrm{F}}=-289^{\circ} \mathrm{F}$c) $T_{\mathrm{C}}=\left[1.55 \times 10^{7}\right]^{\circ} \mathrm{C} \quad, \quad T_{\mathrm{P}}=\left[2.79 \times 10^{7 \circ}\right]^{\circ} \mathrm{F}$

Physics 101 Mechanics

Chapter 14

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

University of Michigan - Ann Arbor

University of Washington

Hope College

McMaster University

Lectures

02:20

A solid, liquid, or gas is one of the three main states of matter. Solids have a definite shape and volume, and retain their shape when a force is applied to them. They are rigid, and do not flow to take on the shape of a container, but retain their own shape. Solids are held together by intermolecular forces, which are usually chemical bonds. Liquids have a free-flowing, continuous surface, and take the shape of a container. They flow to fill an available space. Their particles do not have a definite shape or volume, and they are not rigid. Gases have no definite shape or volume. They are not held together, and are not rigid. They flow to fill an available space. Gases are often described as being the state of matter with the lowest density.

03:25

The First Law of Thermodynamics is an expression of the principle of conservation of energy. The law states that the change in the internal energy of a closed system is equal to the amount of heat energy added to the system, minus the work done by the system on its surroundings. The total energy of a system can be subdivided and classified in various ways.

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Convert the following Kelv…

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On the moon the surface te…

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everyone, This is question number six from chapter 14. This is another conversion problem. Were given three temperatures from the moon, Saturn's Saturn and clouds. And then we're told to convert those Calvin temperatures to see an F. So for all three of these, we have to go from Calvinist Celsius and then Celsius to Fahrenheit. So we know that I'm converting T k t c T c is t C plus 2 73.15 So then we Khun Dio ti c equals T K minus 2 73.15 and then Fahrenheit t f equals nine over five tc plus 32. Okay, so these air equations that we've been using just goingto morning to write him out for you And now we can go into solving so part, eh? 400 k. So let's convert that Teo Celsius for 100 minus 2 73.15 equals 127 degrees c. Okay, so that's the first part of that answer. And then we need to convert that to Fahrenheit. So that's nine over five times. We're going to use the exact answer instead of the rounded answer which was 1 26.85 and then plus 32. And that gives is 260 degrees Fahrenheit. Okay, Now you wanna part B. Same process 95 minus 2 73 0.15 equals minus 178 degrees Celsius and then to Fahrenheit night over five. The exact answer, minus 1 78 point 15 plus 32 gives us minus 2 89 degrees Fahrenheit. Okay? And now we're gonna part. See now part C. We do the same thing t c equals T. K. So it would be this 1.55 times 10 to the seventh, minus 2 73 That's such a small difference that we can estimate and say that the temperature is going to be the same in Celcius. So 1.55 times 10 to the seventh degree C. And that's just because this is to the seventh power Seven orders of magnitude. So that 273 degrees that you would subtract to convert yourself is going to be very minuscule compared tio how big this number is now. We just go ahead and convert to T f. That's nine over five times 1.55 times 10 to the seventh plus 32 is going to give us a temperature of 2.79 times 10 to 7 degrees Fahrenheit, and those are temperatures for the moon, Saturn and the sun.

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