Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Temperature is the measure of how hot or cold a body or an object is. It is measured using an instrument called a thermometer, which typically looks like a glass tube with a bulb at the bottom containing mercury that expands and rises as it gets warmer.
There are two primary scales used to measure temperature: the Celsius scale (denoted as ) and the Fahrenheit scale (denoted as ).
On the Celsius scale, the freezing point of water is defined as and the boiling point of water is . The distance between these two points is divided into equal parts.
On the Fahrenheit scale, the freezing point of water is and the boiling point of water is . The interval between these two fixed points is divided into equal parts ().
A clinical thermometer is specifically used to measure human body temperature. It usually has a scale ranging from to or to . The normal temperature of a healthy human body is or .
When reading a thermometer, you must look at the top level of the mercury column. Imagine a vertical number line where the height of the liquid indicates the specific degree of heat present.
To compare the two scales, remember that is equivalent to , and is equivalent to . This shows that the Fahrenheit scale starts at a higher numerical value for the same level of coldness.
📐Formulae
To convert Celsius to Fahrenheit:
To convert Fahrenheit to Celsius:
Step-wise Celsius to Fahrenheit:
Step-wise Fahrenheit to Celsius:
💡Examples
Problem 1:
Convert into the Fahrenheit scale.
Solution:
Step 1: Multiply the Celsius value by : . \ Step 2: Divide the result by : . \ Step 3: Add to the result: . \ Therefore, .
Explanation:
To convert from Celsius to Fahrenheit, we apply the conversion ratio and then adjust for the difference in freezing points by adding .
Problem 2:
The temperature of a room is . What is this temperature in degrees Celsius?
Solution:
Step 1: Subtract from the Fahrenheit value: . \ Step 2: Multiply the result by : . \ Step 3: Divide the result by : . \ Therefore, .
Explanation:
To convert from Fahrenheit to Celsius, we first remove the -degree offset to align the freezing points, then multiply by the conversion ratio .