Ethylene glycol is the main component in automobile antifreeze. To monitor the temperature of an auto cooling system, you intend to us a meter that reads from 0 to 100. You devise a new temperatrue scale based on the approximation melting and boiling points of a typical antifreeze solution (-45 degrees C and 115 degrees C) you wish these points to correspond to 0 degrees A and 100 degrees A respectively.
Derive and expression for converting between degrees Fer. and degrees A.
2006-08-13 15:50:56 · 9 answers · asked by Anonymous in Education & Reference ➔ Higher Education (University +)
This is a math question, not chemistry.
0°A = -45°C = -49°F
100°A = 115°C = 239°F
Since scale is linear, Temp (°A) = ((Temp (°F) + 49 ) * 25) / 72
2006-08-13 16:07:39 · answer #1 · answered by Computer Guy 7 · 0⤊ 0⤋
Lemme see if I get this....
100 A = 115 C = 239 F
0 A = -45 C = -49 F
to convert from degrees C to degrees A
A = (5/8) * (C + 45)
to convert from degrees F to degrees C
C = (5/9) * (F - 32)
so combining these two gives us the following expression to convert from degrees F straight to degrees A.
A = (5/8) * ((5/9)*(F - 32) + 45)
or when simplified becomes
A = (25/72) * (F + 49)
I believe this works!
2006-08-13 16:20:58 · answer #2 · answered by Math-Chem-Physics Teacher 3 · 0⤊ 0⤋
Use the equation for a line, "Y = mX + b", where m is the slope of the line, and b is the y-intercept.
For your data, treat degrees A = "X", and treat degrees C = "Y"
You have 2 data points below to determine the slope and y-intercept: (0, -45) and (100, 115)
X ........ Y
0A = -45C
100A = 115C
slope m = (115+45)/(100-0) = 8/5
Y-intercept ("b") = - 45
Use the values of the slope and y-intercept to get the following equation:
Y = 8/5 (X) - 45, therefore
C = 8/5 (A) - 45
2006-08-13 17:14:09 · answer #3 · answered by BESTestAnSWerRRerrERrrERRerrERrr 2 · 0⤊ 0⤋
(45+115)/100=1.6
1 C = 1.6 A
setting -45 to 0 and assuming that 1 degree C = 1.6 degrees A will get you the right numbers
2006-08-13 16:04:18 · answer #4 · answered by Jose H 2 · 0⤊ 0⤋
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2016-11-24 23:47:28 · answer #5 · answered by ? 4 · 0⤊ 0⤋
Come on!! You want us to do your homework for you. Crack open the book and get busy studying.
2006-08-13 15:55:07 · answer #6 · answered by cbg_mx 3 · 0⤊ 0⤋
This is your teacher. I expect you to come to my class early tomorrow. We have something very important to discuss.
2006-08-13 15:54:28 · answer #7 · answered by noir 3 · 0⤊ 0⤋
there are centigrade to Fahrenheit converters online, just google it.
2006-08-13 15:54:27 · answer #8 · answered by Anonymous · 0⤊ 0⤋
thats a hard one to answer. don't know for sure.
2006-08-13 15:52:37 · answer #9 · answered by Anonymous · 0⤊ 1⤋