Convert the following temperatures to the Celsius scale.
(a) 293 K
(b) 470 K
📘 Concept & Theory Concept Used: Temperature Scales ›
The Kelvin scale is the SI unit of temperature and is widely used in scientific calculations. To convert a temperature from Kelvin to Celsius, we subtract 273 from the Kelvin value.
The relationship between the two scales is:
\[ \text{Temperature in Celsius} = \text{Temperature in Kelvin} - 273 \]
🗺️ Solution Roadmap Step-by-step Plan ›
Write the given temperature in Kelvin.
Use the conversion formula: \[ ^\circ C = K - 273 \]
Substitute the given Kelvin value into the formula.
Perform the subtraction carefully.
Write the answer with the unit °C.
📊 Graph / Figure Graph / Figure ›
✏️ Solution Complete Solution ›
- (a) Convert 293 K into Celsius.
- Using the formula:\[^\circ C = K - 273\]
- Substituting the given value:\[^\circ C = 293 - 273\]
- Calculating:\[^\circ C = 20\]
- Therefore,\[293\;K = 20^\circ C\]
- (b) Convert 470 K into Celsius.
- Using the formula:\[ ^\circ C = K - 273\]
- Substituting the given value:\[ ^\circ C = 470 - 273\]
- Calculating:\[ ^\circ C = 197\]
- Therefore,\[470\;K = 197^\circ C\]
💡 Answer Final Answer ›
- (1)(a) 293 K = 20 °C
- (2)(b) 470 K = 197 °C
🎯 Exam Significance Exam Significance ›
This question tests the basic understanding of temperature scales and unit conversion, a fundamental concept in the chapter "Matter in Our Surroundings".
Questions based on Kelvin–Celsius conversion are frequently asked in:
- CBSE Class 9 examinations
- School periodic tests and annual examinations
- NTSE foundation-level science questions
- Olympiad examinations
- NEET and JEE foundation courses
A clear understanding of temperature conversion is essential because melting point, boiling point, latent heat, and state-change calculations are often expressed using the Kelvin scale in science.
🔑 Key Takeaways Key Takeaways ›
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Kelvin is the SI unit of temperature.
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To convert Kelvin to Celsius, subtract 273.
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\[^\circ C = K - 273\]
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\[293\;K = 20^\circ C\]
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\[470\;K = 197^\circ C\]
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Temperature-scale conversion is a frequently tested concept in school and competitive examinations.