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Exercise · Q7

Q.A patient's body temperature is recorded as 102 ∘F102\,^\circ\text{F} on a clinical (Fahrenheit) thermometer. Convert this reading to the Celsius and Kelvin scales, using C=59(F−32)C = \dfrac{5}{9}(F-32) and K=C+273K = C + 273.

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✓ Free question

Given F=102 ∘FF = 102\,^\circ\text{F}. Using C=59(F−32)C = \dfrac{5}{9}(F - 32):

C=59(102−32)=59×70=38.9 ∘CC = \frac{5}{9}(102 - 32) = \frac{5}{9}\times70 = 38.9\,^\circ\text{C}

Then K=C+273=38.9+273=311.9 KK = C + 273 = 38.9 + 273 = 311.9\ \text{K}.

✓Final answer

102 ∘F102\,^\circ\text{F} corresponds to about 38.9 ∘C38.9\,^\circ\text{C}, i.e. 311.9 K311.9\ \text{K} -- a mild fever, since normal human body temperature is about 37 ∘C37\,^\circ\text{C} (98.6 ∘F98.6\,^\circ\text{F}).

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