Temperature Scale Numericals
Learn Celsius, Fahrenheit and Kelvin conversions with animated formula cards, converter, thermometer, solved numericals and quiz.
Important Formulae
Celsius to Fahrenheit
F = 9C/5 + 32
Use this when Celsius value is given.
Fahrenheit to Celsius
C = 5(F − 32)/9
Use this when Fahrenheit value is given.
Celsius to Kelvin
K = C + 273
Kelvin reading is 273 more than Celsius.
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Learning Progress
C. Numericals
Question 1
The temperature of a body rises by 1°C. What is the corresponding rise on the:
(a) Fahrenheit scale
(b) Kelvin scale?
(a) Fahrenheit scale
(b) Kelvin scale?
100 divisions on Celsius scale = 180 divisions on Fahrenheit scale.
1°C rise = 180/100 = 1.8°F rise.
100 divisions on Celsius scale = 100 divisions on Kelvin scale.
1°C rise = 1 K rise.
Answer: (a) 1.8°F rise (b) 1 K rise
Question 2
The temperature rises by 18°F. What is the rise on the Celsius scale?
180°F rise = 100°C rise.
18°F rise = 100/180 × 18
= 10°C
Answer: 10°C rise
Question 3
Convert 5°F to the Celsius scale.
Formula: C = 5/9 × (F − 32)
C = 5/9 × (5 − 32)
C = 5/9 × (−27)
C = −15°C
Answer: 5°F = −15°C
Question 4
Convert 40°C to:
(a) Fahrenheit scale
(b) Kelvin scale
(a) Fahrenheit scale
(b) Kelvin scale
For Fahrenheit: F = 9C/5 + 32
F = 9 × 40 / 5 + 32
F = 72 + 32 = 104°F
For Kelvin: K = C + 273
K = 40 + 273 = 313 K
Answer: (a) 104°F (b) 313 K
Question 5
Convert −40°F to the Celsius scale.
Formula: C = 5/9 × (F − 32)
C = 5/9 × (−40 − 32)
C = 5/9 × (−72)
C = 5 × (−8)
C = −40°C
Answer: −40°F = −40°C
Remember: A rise of 1°C is equal to a rise of 1 K. But the actual readings on Celsius and Kelvin scales are different because Kelvin starts from absolute zero.
Quick Quiz
Match the Formula
Click one card below and learn where it is used:
F = 9C/5 + 32
C = 5(F − 32)/9
K = C + 273
FAQs
What is the formula to convert Celsius to Fahrenheit?
The formula is F = 9C/5 + 32.
What is the formula to convert Fahrenheit to Celsius?
The formula is C = 5(F − 32)/9.
What is the formula to convert Celsius to Kelvin?
The formula is K = C + 273.
Why is −40°F equal to −40°C?
When −40 is placed in the formula C = 5(F − 32)/9, the answer becomes −40°C.
Is a rise of 1°C equal to a rise of 1 K?
Yes. A rise of 1°C is equal to a rise of 1 K.
