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Temperatures in biomedicine. (a) Normal body temperature. The average normal body temperature measured in the mouth is 310 $\mathrm{K}$ . What would Celsius and Fahrenheit thermometers read for this temperature? (b) Elevated body temperature. During very vigorous exercise, the body's temperature can go as high as $40^{\circ} \mathrm{C}$ . What would Kelvin and Fahrenheit thermometers read for this temperature? (c) Temperature difference in the body. The surface temperature of the body is normally about 7 $\mathrm{C}^{\circ}$ lower than the internal temperature. Express this temperature difference in kelvins and in Fahrenheit degrees. (d) Blood storage. Blood stored at $4.0^{\circ} \mathrm{C}$ lasts safely for about 3 weeks, whereas blood stored at $-160^{\circ} \mathrm{C}$ lasts for 5 years. Express both temperatures on the Fahrenheit and Kelvin scales. (e) Heat stroke. If the body's temperature is above $105^{\circ} \mathrm{F}$ for a prolonged period, heat stroke can result. Express this temperature on the Celsius and Kelvin scales.

(a) $T_{\mathrm{C}}=36.9^{\circ} \mathrm{C} \quad T_{\mathrm{F}}=98.4^{\circ} \mathrm{F}$(b) $T_{\mathrm{K}}=313.2 \mathrm{K} \quad T_{\mathrm{Y}}=104^{\circ} \mathrm{F}$(c) $\Delta T_{\mathrm{K}}=7 \mathrm{K} \quad \Delta T_{F}=12.6^{\circ} \mathrm{F}$(d)$ T_{\mathrm{F}}=39.2^{\circ} \mathrm{F} \quad T_{\mathrm{K}}=277.2 \mathrm{K}$$T_{\mathrm{F}}=-256^{\circ} \mathrm{F} \quad T_{\mathrm{K}}=113.2 \mathrm{K}$(e) $T_{\mathrm{C}}=40.6^{\circ} \mathrm{C} \quad T_{\mathrm{K}}=313.8 \mathrm{K}$

Physics 101 Mechanics

Chapter 14

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

McMaster University

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everyone. This is Question number two from chapter 14. This problem gives us a bunch of temperature informations from the body and tells us to convert to various different units of temperature. So rodeo given and find over here to the left. And I did a couple of our basic conversions that were given in the book is equations. So we're just going to go and start So a says 310 Calvin, Teo, Celsius and Fahrenheit. And we can use, um, this topic question TC equals T K minus 2 73.15 So that's going to give us 310. K minus 2 73.15 equals 36.9 degrees C. And then T f is going to be nine over five T C plus 32 so that nine over five 36.9 plus 32 equals 98.4. That's degrees Fahrenheit. Okay, part beav, 40 degree Celsius in house, 40 degrees Celsius and Kelvin and Fahrenheit. So same equation t k equals to see. But now we can add 2 73 over the other side cause we're solving for Calvin. So that's 40 degrees C plus 2 73 equals 3 13 Calvin on. Then we need to convert two degrees Fahrenheit and we're given Celsius so we can d'oh night over five time's degrees Celsius plus 32 that's going to give us 104 degrees Fahrenheit. Heart seed difference. We're given a temperature difference of seven degrees Celsius, and we need to convert Tio, um, Calvin and Fahrenheit. And we know that a difference in Celsius is the same as a difference in Calvin. So seven degrees C is equal to seven k and then a change seven degrees C is equal tio. When we go to Fahrenheit as we see a pier, nine Fahrenheit degrees equals five degrees c and we're solving for Fahrenheit. So we divide nine over to the other side. We have seven degrees C times nine Fahrenheit degrees over five degrees c. And that gives us 13 degrees Fahrenheit. Okay, No do part Deed four degree Celsius, 160 degrees Celsius and Fahrenheit. And Calvin, I'm actually gonna go to the next page. So, dear, So we have four degrees Celsius and we need that in Fahrenheit. And Calvin. So for t f, we're going to do nine over five times four, do you see plus 32 equals 39.2 degrees Fahrenheit and then a Calvin, you just d'oh t c plus 2 73.5 0.15 Hey! And that is 2 77 K. Oh, and then the second part of D minus 160 degrees C and again winning that in Fahrenheit. And Calvin, it's the same process. No man over five, minus 1 60 plus 32. Yeah, minus 256 degrees Fahrenheit and then minus 1 60 plus 2 73.15 gives us 113 k. You go ahead. Underline all these for you. Okay. And now we go onto Part IV, which is 105 degrees Fahrenheit, and we're going to Celsius and come in. So we're just going to reverse this nine over five times Celsius plus 32 and you d'oh! If we reverse that, we g 05 over nine times 105 minus 32 and that gives 41 degrees Celsius and then convert that to Calvin. We just add 2 73 So 41 plus 2 73 I went 15 equals 314. Calvin

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