The normal body temperature is 98.4°F.
(a) This corresponds to 36.89°C on the Celsius scale.
(b) The Fahrenheit and Celsius scales coincide at -40°, as this is the temperature where they have the same value.
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11.1.(Heat)
1. The normal body temperature is
(a)What is this temperature on Celsius scale.
(b)At what temperature do the Fahrenheit and Celsius scale coincide.
Data:
T = 98.4 ËšF
(a)
(b)
C =
=
?
Where the ËšF and ËšC coincide ?
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98.4ËšF.
2. Solution:
(a) To determine temperature on Celsius scale we have:
__
5
=
________32
9
By cross multiplication
ËšC
9
x = ˚F – 32
______
x 5
˚C ˚F= – 32
Putting the values
ËšC =
______
x 5
98.4 – 32 x 5
9
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9
3. ËšC =
332____
9
ËšC = 36.888
OR
ËšC = 36.89 Answer.
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ËšC =
66.4_____
9
x 5
4. (b) At what temperature do the Fahrenheit and Celsius scale coincide.
ËšC____
5
= ËšF _ 32_______
9
Consider ËšC = T and ËšF = T then :
T____
5
=
T
_
32______
9
by cross multiplication
9T = 5T – 160
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5. 9T – 5T = - 160
4T = -160
T =
-160____
4
T = - 40Ëš Answer.
At -40Ëš Fahrenheit and Celsius scale coincides.
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