Q. 3.19 - An Introduction to General, Organic, and Biological Chemistry

Question

a. A patient with hyperthermia has a temperature of ${106}^{\circ }\mathrm{F}\text{. }$ What does this read on a Celsius thermometer?

b. Because high fevers can cause convulsion's in children, the doctor needs to be called if the child's temperature goes over ${40.0}^{\circ }\mathrm{C}$. Should the doctor be called if a child has a temperature of ${103}^{\circ }\mathrm{F}?$?

Step-by-Step Solution

Answer

a. The temperature of the body of the patient within the thermometer is ${41}^{\circ }C$

b. The temperature of the body of the kid is ${39}^{\circ }C$ hence the doctor needn't be called.  

Step 1: Given Information (a)

Hyperthermia patient has a temperature of $106°F$

Step 2: Explanation (a)

(a) The temperature of the patient's body is ${106}^{\circ }\mathrm{F}$
The temperature equation is employed for conversion as:
$T_{\mathrm{K}}=T_{\mathrm{c}}+273$
Here, $T_{\mathrm{c}}$ is that the temperature is Celsius and $T_F$ is that the temperature is Fahrenheit.
Substitute within the above equation we have:
$T_{\mathrm{c}}=\frac{T_{\mathrm{F}}-32}{1.8}$

$=\frac{106-32}{1.8}$

$={41}^{\circ }\mathrm{C}$

Thus, the temperature of the body of the patient within the thermometer is ${41}^{\circ }\mathrm{C}$ 

Step 3: Given Information (b)

The Child's temperature was $40.0°C$

Step 4: Explanation (b)

(b) The temperature of the body of the kid is $103°F$
The temperature equation is employed for conversion as: 

$T_{\mathrm{c}}=\frac{T_{\mathrm{F}}-32}{1.8}$

Here, $T_{\mathrm{c}}$is that the temperature is Celsius and $T_F$is that the temperature is Fahrenheit.
Substitute within the above equation we have: 

$T_{\mathrm{c}}=\frac{T_{\mathrm{F}}-32}{1.8}$

$=\frac{103-32}{1.8}$

$={39}^{\circ }\mathrm{C}$

Thus, the temperature of the body of the kid is $39°C$hence the doctor needn't be called.