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Time and Temperature - Temperature Scales in Celsius and Fahrenheit

Grade 5ICSE

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 C^\circ C) and the Fahrenheit scale (denoted as F^\circ F).

On the Celsius scale, the freezing point of water is defined as 0C0^\circ C and the boiling point of water is 100C100^\circ C. The distance between these two points is divided into 100100 equal parts.

On the Fahrenheit scale, the freezing point of water is 32F32^\circ F and the boiling point of water is 212F212^\circ F. The interval between these two fixed points is divided into 180180 equal parts (21232=180212 - 32 = 180).

A clinical thermometer is specifically used to measure human body temperature. It usually has a scale ranging from 35C35^\circ C to 42C42^\circ C or 94F94^\circ F to 108F108^\circ F. The normal temperature of a healthy human body is 37C37^\circ C or 98.6F98.6^\circ F.

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 0C0^\circ C is equivalent to 32F32^\circ F, and 100C100^\circ C is equivalent to 212F212^\circ F. This shows that the Fahrenheit scale starts at a higher numerical value for the same level of coldness.

📐Formulae

To convert Celsius to Fahrenheit: F=(95×C)+32F = (\frac{9}{5} \times C) + 32

To convert Fahrenheit to Celsius: C=(F32)×59C = (F - 32) \times \frac{5}{9}

Step-wise Celsius to Fahrenheit: Step 1: C×9, Step 2: Result÷5, Step 3: Result+32\text{Step 1: } C \times 9, \text{ Step 2: Result} \div 5, \text{ Step 3: Result} + 32

Step-wise Fahrenheit to Celsius: Step 1: F32, Step 2: Result×5, Step 3: Result÷9\text{Step 1: } F - 32, \text{ Step 2: Result} \times 5, \text{ Step 3: Result} \div 9

💡Examples

Problem 1:

Convert 45C45^\circ C into the Fahrenheit scale.

Solution:

Step 1: Multiply the Celsius value by 99: 45×9=40545 \times 9 = 405. \ Step 2: Divide the result by 55: 405÷5=81405 \div 5 = 81. \ Step 3: Add 3232 to the result: 81+32=11381 + 32 = 113. \ Therefore, 45C=113F45^\circ C = 113^\circ F.

Explanation:

To convert from Celsius to Fahrenheit, we apply the conversion ratio 95\frac{9}{5} and then adjust for the difference in freezing points by adding 3232.

Problem 2:

The temperature of a room is 77F77^\circ F. What is this temperature in degrees Celsius?

Solution:

Step 1: Subtract 3232 from the Fahrenheit value: 7732=4577 - 32 = 45. \ Step 2: Multiply the result by 55: 45×5=22545 \times 5 = 225. \ Step 3: Divide the result by 99: 225÷9=25225 \div 9 = 25. \ Therefore, 77F=25C77^\circ F = 25^\circ C.

Explanation:

To convert from Fahrenheit to Celsius, we first remove the 3232-degree offset to align the freezing points, then multiply by the conversion ratio 59\frac{5}{9}.