Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Can you please solve this problem and show all of the steps
![**Educational Website Content:**
### Conversion of Body Temperatures from Celsius to Fahrenheit
#### Example Problem 1.90:
**Problem Statement:**
The normal body temperature of a goat is 39.9°C, and that of an Australian spiny anteater is 22.2°C. Express these temperatures in degrees Fahrenheit.
**Solution:**
To convert temperatures from Celsius (°C) to Fahrenheit (°F), we use the following formula:
\[ F = \left( \frac{9}{5} \times C \right) + 32 \]
**Step-by-Step Conversion:**
1. **Convert Goat's Body Temperature:**
\[
\begin{align*}
C &= 39.9 \\
F &= \left( \frac{9}{5} \times 39.9 \right) + 32 \\
& = 71.82 + 32 \\
& = 103.82
\end{align*}
\]
Therefore, the normal body temperature of a goat is \(103.82°F\).
2. **Convert Australian Spiny Anteater's Body Temperature:**
\[
\begin{align*}
C &= 22.2 \\
F &= \left( \frac{9}{5} \times 22.2 \right) + 32 \\
& = 39.96 + 32 \\
& = 71.96
\end{align*}
\]
Therefore, the normal body temperature of an Australian spiny anteater is \(71.96°F\).
**Conclusion:**
- The normal body temperature of a goat is \(39.9°C\) or \(103.82°F\).
- The normal body temperature of an Australian spiny anteater is \(22.2°C\) or \(71.96°F\).](https://content.bartleby.com/qna-images/question/6e830786-058e-49dd-8798-047547f22476/0a551900-2c59-4154-93da-9ffaf5a965da/zx1p5b9.png)
Transcribed Image Text:**Educational Website Content:**
### Conversion of Body Temperatures from Celsius to Fahrenheit
#### Example Problem 1.90:
**Problem Statement:**
The normal body temperature of a goat is 39.9°C, and that of an Australian spiny anteater is 22.2°C. Express these temperatures in degrees Fahrenheit.
**Solution:**
To convert temperatures from Celsius (°C) to Fahrenheit (°F), we use the following formula:
\[ F = \left( \frac{9}{5} \times C \right) + 32 \]
**Step-by-Step Conversion:**
1. **Convert Goat's Body Temperature:**
\[
\begin{align*}
C &= 39.9 \\
F &= \left( \frac{9}{5} \times 39.9 \right) + 32 \\
& = 71.82 + 32 \\
& = 103.82
\end{align*}
\]
Therefore, the normal body temperature of a goat is \(103.82°F\).
2. **Convert Australian Spiny Anteater's Body Temperature:**
\[
\begin{align*}
C &= 22.2 \\
F &= \left( \frac{9}{5} \times 22.2 \right) + 32 \\
& = 39.96 + 32 \\
& = 71.96
\end{align*}
\]
Therefore, the normal body temperature of an Australian spiny anteater is \(71.96°F\).
**Conclusion:**
- The normal body temperature of a goat is \(39.9°C\) or \(103.82°F\).
- The normal body temperature of an Australian spiny anteater is \(22.2°C\) or \(71.96°F\).
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