Physicists and chemists often use the Kelvin temperature scale. In order to determine the relationship between the Fahrenheit and Kelvin temperature scales, a lab assistant put Fahrenheit and Kelvin thermometers side by side and took readings at various temperatures. The following data were recorded. K= kelvins 200 220 240 260 280 300 F= degrees Fahrenheit -99.67 -63.67 -27.67 8.33 44.33 80.33 (a) Show that the temperature Fin degrees Fahrenheit is a linear function of the temperature K in kelvins. The change in Fis alvays ) degrees Fahrenheit for each 20 unit change in K. (b) What is the slope of this linear function? (Note: Be sure to take into account that the table lists kelvins in jumps of 20 rather than in jumps of 1.) OF per kelvin (e) Find a formula for the linear function. (Enter your answer in terms of K.)

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Physicists and chemists often use the Kelvin temperature scale. In order to determine the relationship between the Fahrenheit and Kelvin temperature scales, a lab assistant put Fahrenheit and
Kelvin thermometers side by side and took readings at various temperatures. The following data were recorded.
K = kelvins
F= degrees Fahrenheit
200
-99.67
-63.67
-27.67
8.33
220
240
260
280
44.33
300
80.33
(a) Show that the temperature F in degrees Fahrenheit is a linear function of the temperature K in kelvins.
The change in Fis always
degrees Fahrenheit for each 20 unit change in K.
(b) What is the slope of this linear function? (Note: Be sure to take into account that the table lists kelvins in jumps of 20 rather than in jumps of 1.)
°F per kelvin
(c) Find a formula for the linear function. (Enter your answer in terms of K.)
F =
(d) Normal body temperature is 98.6 degrees Fahrenheit. What is that temperature in kelvins? (Round your answer to two decimal places.)
K
(e) If temperature increases by 1 kelvin, by how many degrees Fahrenheit does it increase?
°F
If temperature increases by 1 degree Fahrenheit, by how many kelvins does it increase? (Round your answer to two decimal places.)
K
(f) The temperature of 0 kelvins is known as absolute zero. It is not quite accurate to say that all molecular motion ceases at absolute zero, but at that temperature the system has its
minimum possible total energy. It is thought that absolute zero cannot be attained experimentally, although temperatures lower than 0.0000001 kelvin have been attained. Find the
temperature of absolute zero in degrees Fahrenheit.
oF
Transcribed Image Text:Physicists and chemists often use the Kelvin temperature scale. In order to determine the relationship between the Fahrenheit and Kelvin temperature scales, a lab assistant put Fahrenheit and Kelvin thermometers side by side and took readings at various temperatures. The following data were recorded. K = kelvins F= degrees Fahrenheit 200 -99.67 -63.67 -27.67 8.33 220 240 260 280 44.33 300 80.33 (a) Show that the temperature F in degrees Fahrenheit is a linear function of the temperature K in kelvins. The change in Fis always degrees Fahrenheit for each 20 unit change in K. (b) What is the slope of this linear function? (Note: Be sure to take into account that the table lists kelvins in jumps of 20 rather than in jumps of 1.) °F per kelvin (c) Find a formula for the linear function. (Enter your answer in terms of K.) F = (d) Normal body temperature is 98.6 degrees Fahrenheit. What is that temperature in kelvins? (Round your answer to two decimal places.) K (e) If temperature increases by 1 kelvin, by how many degrees Fahrenheit does it increase? °F If temperature increases by 1 degree Fahrenheit, by how many kelvins does it increase? (Round your answer to two decimal places.) K (f) The temperature of 0 kelvins is known as absolute zero. It is not quite accurate to say that all molecular motion ceases at absolute zero, but at that temperature the system has its minimum possible total energy. It is thought that absolute zero cannot be attained experimentally, although temperatures lower than 0.0000001 kelvin have been attained. Find the temperature of absolute zero in degrees Fahrenheit. oF
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