Math Problem Statement

Convert the given temperatures between Kelvin and Celsius as specified.

Solution

Let's solve the given temperature conversion problems based on the Kelvin and Celsius relationship.

a) Convert Kelvin to Celsius

The formula to convert Kelvin (K) to Celsius (°C) is:

°C=K273°C = K - 273

i) 283 K to °C: 283273=10°C283 - 273 = 10°C

ii) 300 K to °C: 300273=27°C300 - 273 = 27°C

iii) 1000 K to °C: 1000273=727°C1000 - 273 = 727°C

b) Convert Celsius to Kelvin

The formula to convert Celsius (°C) to Kelvin (K) is:

K=°C+273K = °C + 273

i) 0°C to K: 0+273=273K0 + 273 = 273 K

ii) 40°C to K: 40+273=313K40 + 273 = 313 K

iii) −273°C to K: 273+273=0K−273 + 273 = 0 K

Summary of Answers:

  • a) Kelvin to Celsius:

    1. 283K=10°C283 \,K = 10°C
    2. 300K=27°C300 \,K = 27°C
    3. 1000K=727°C1000 \,K = 727°C
  • b) Celsius to Kelvin:

    1. 0°C=273K0°C = 273 \,K
    2. 40°C=313K40°C = 313 \,K
    3. 273°C=0K−273°C = 0 \,K

Would you like more details or have any questions about these conversions?

Related Questions:

  1. How can you convert Celsius to Fahrenheit?
  2. What is the absolute zero temperature in Fahrenheit?
  3. How do you convert Fahrenheit to Kelvin directly?
  4. What is the significance of absolute zero in thermodynamics?
  5. What are the differences between Celsius, Kelvin, and Fahrenheit scales?

Tip:

When converting between temperature scales, keep in mind that Kelvin is an absolute temperature scale with no negative values.

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Math Problem Analysis

Mathematical Concepts

Temperature conversion
Kelvin to Celsius
Celsius to Kelvin

Formulas

Celsius = Kelvin - 273
Kelvin = Celsius + 273

Theorems

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Suitable Grade Level

Grades 6-8