Problem 33
Question
A doctor measures a patient's temperature at \(38.4^{\circ} \mathrm{C}\). Convert this temperature to degrees Fahrenheit.
Step-by-Step Solution
Verified Answer
The temperature is \( 101.12^{\circ} \mathrm{F} \).
1Step 1: Identify the conversion formula
Recall the formula to convert Celsius to Fahrenheit, which is: \[ F = \frac{9}{5}C + 32 \]
2Step 2: Substitute the Celsius temperature into the formula
Use the patient's temperature given in Celsius, which is \( 38.4^{\circ} \mathrm{C} \). Substitute \( 38.4 \) for \( C \) in the conversion formula: \[ F = \frac{9}{5} \times 38.4 + 32 \]
3Step 3: Perform the multiplication
Calculate the multiplication part of the equation first: \[ \frac{9}{5} \times 38.4 = 69.12 \]
4Step 4: Add 32 to the result
Now, add 32 to the result from the multiplication step: \[ 69.12 + 32 = 101.12 \]
5Step 5: State the final answer
The temperature in degrees Fahrenheit is \( 101.12^{\circ} \mathrm{F} \).
Key Concepts
Celsius to Fahrenheit conversiontemperature measurementconversion formula
Celsius to Fahrenheit conversion
To convert temperatures from Celsius to Fahrenheit, we use a specific conversion formula. This formula helps us understand how temperature measurements in one unit can be represented in another unit. The conversion formula we use is: \ \[ F = \frac{9}{5}C + 32 \]
This formula is derived from the relationship between the Celsius and Fahrenheit scales. Both scales measure the same physical quantity (temperature) but use different numbers to represent it. The formula ensures consistency in conversion.
It is important to remember that when converting temperatures, the multiplication is performed first, followed by the addition. This systematic approach helps avoid errors. Additionally, understanding the conversion formula allows us to convert temperatures without relying solely on tools or calculators.
This formula is derived from the relationship between the Celsius and Fahrenheit scales. Both scales measure the same physical quantity (temperature) but use different numbers to represent it. The formula ensures consistency in conversion.
It is important to remember that when converting temperatures, the multiplication is performed first, followed by the addition. This systematic approach helps avoid errors. Additionally, understanding the conversion formula allows us to convert temperatures without relying solely on tools or calculators.
temperature measurement
Temperature measurement is crucial in many fields such as medicine, meteorology, and everyday life. It helps us assess and compare the thermal energy of substances and environments.
The Celsius scale is commonly used worldwide and is based on the freezing point (0°C) and boiling point (100°C) of water. Conversely, the Fahrenheit scale, predominantly used in the United States, sets the freezing point of water at 32°F and boiling point at 212°F.
Accurate temperature measurement is essential for making informed decisions. For example, in healthcare, accurate patient temperature readings can indicate fever, which is critical for diagnosing illnesses. In weather forecasting, temperature readings help predict climatic conditions. Therefore, understanding and converting temperature measurements accurately is vital in applying this knowledge in real-life scenarios.
The Celsius scale is commonly used worldwide and is based on the freezing point (0°C) and boiling point (100°C) of water. Conversely, the Fahrenheit scale, predominantly used in the United States, sets the freezing point of water at 32°F and boiling point at 212°F.
Accurate temperature measurement is essential for making informed decisions. For example, in healthcare, accurate patient temperature readings can indicate fever, which is critical for diagnosing illnesses. In weather forecasting, temperature readings help predict climatic conditions. Therefore, understanding and converting temperature measurements accurately is vital in applying this knowledge in real-life scenarios.
conversion formula
The conversion formula linking Celsius and Fahrenheit is fundamental in temperature conversions. The formula is: \ \[ F = \frac{9}{5}C + 32 \]\, where \F\right \
Other exercises in this chapter
Problem 30
List the following temperatures from coldest to warmest: \(80^{\circ} \mathrm{C}\) \(200 \mathrm{K}, 50^{\circ} \mathrm{F}\)
View solution Problem 32
The average global temperature is \(286 \mathrm{K}\). Convert this temperature to degrees Celsius.
View solution Problem 29
In the United States, the Fahrenheit temperature scale is used most often. Some people feel that Americans should switch to the Celsius scale. Take a poll of at
View solution