Convert $4.22 \, K$ To $^{\circ}C$.A. $-156.89^{\circ}C$ B. $-356.51^{\circ}C$ C. $-268.93^{\circ}C$

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Understanding the Kelvin Scale

The Kelvin scale is a temperature scale that is used in scientific and engineering applications. It is defined such that 0 K is absolute zero, the theoretical temperature at which all matter would have zero entropy. The Kelvin scale is an absolute temperature scale, meaning that it is not relative to a reference point like the Celsius or Fahrenheit scales.

Converting Kelvin to Celsius

To convert a temperature from Kelvin to Celsius, we can use the following formula:

°C = K - 273.15

Where K is the temperature in Kelvin and °C is the temperature in Celsius.

Example Problem: Converting 4.22 K4.22 \, K to ∘C^{\circ}C

Let's use the formula above to convert 4.22 K4.22 \, K to ∘C^{\circ}C.

°C = K - 273.15 °C = 4.22 - 273.15 °C = -268.93

Therefore, 4.22 K4.22 \, K is equivalent to −268.93∘C-268.93^{\circ}C.

Answer Options

A. −156.89∘C-156.89^{\circ}C B. −356.51∘C-356.51^{\circ}C C. −268.93∘C-268.93^{\circ}C

The correct answer is C. −268.93∘C-268.93^{\circ}C.

Why is this Important?

Converting between temperature scales is an important skill in physics and engineering. It allows us to compare temperatures across different scales and to perform calculations involving temperature. In this example, we used the formula to convert a temperature from Kelvin to Celsius, which is a common conversion in scientific and engineering applications.

Real-World Applications

Converting between temperature scales has many real-world applications. For example, in the field of materials science, researchers may need to convert temperatures from Kelvin to Celsius to compare the properties of different materials. In the field of engineering, designers may need to convert temperatures from Kelvin to Celsius to design systems that operate within a specific temperature range.

Conclusion

In conclusion, converting Kelvin to Celsius is a simple process that involves using a formula to subtract 273.15 from the temperature in Kelvin. This conversion is important in physics and engineering, and it has many real-world applications. By understanding how to convert between temperature scales, we can better compare temperatures and perform calculations involving temperature.

Frequently Asked Questions

  • Q: What is the formula to convert Kelvin to Celsius? A: The formula to convert Kelvin to Celsius is °C = K - 273.15.
  • Q: Why is it important to convert between temperature scales? A: Converting between temperature scales is important because it allows us to compare temperatures across different scales and to perform calculations involving temperature.
  • Q: What are some real-world applications of converting between temperature scales? A: Some real-world applications of converting between temperature scales include materials science, engineering, and scientific research.

Additional Resources

For more information on converting between temperature scales, check out the following resources:

Q: What is the Kelvin scale?

A: The Kelvin scale is a temperature scale that is used in scientific and engineering applications. It is defined such that 0 K is absolute zero, the theoretical temperature at which all matter would have zero entropy.

Q: How is the Kelvin scale different from the Celsius scale?

A: The Kelvin scale is an absolute temperature scale, meaning that it is not relative to a reference point like the Celsius or Fahrenheit scales. This means that 0 K is the absolute zero point, whereas 0 °C is the freezing point of water.

Q: What is the formula to convert Kelvin to Celsius?

A: The formula to convert Kelvin to Celsius is °C = K - 273.15, where K is the temperature in Kelvin and °C is the temperature in Celsius.

Q: Can you give an example of how to use the formula?

A: Let's say we want to convert 300 K to Celsius. Using the formula, we get:

°C = K - 273.15 °C = 300 - 273.15 °C = 26.85

Therefore, 300 K is equivalent to 26.85 °C.

Q: What are some common temperature conversions?

A: Some common temperature conversions include:

  • 0 K to Celsius: -273.15 °C
  • 100 K to Celsius: -173.15 °C
  • 273.15 K to Celsius: 0 °C
  • 373.15 K to Celsius: 100 °C

Q: Why is it important to convert between temperature scales?

A: Converting between temperature scales is important because it allows us to compare temperatures across different scales and to perform calculations involving temperature. This is particularly important in scientific and engineering applications where precise temperature measurements are critical.

Q: What are some real-world applications of converting between temperature scales?

A: Some real-world applications of converting between temperature scales include:

  • Materials science: Researchers may need to convert temperatures from Kelvin to Celsius to compare the properties of different materials.
  • Engineering: Designers may need to convert temperatures from Kelvin to Celsius to design systems that operate within a specific temperature range.
  • Scientific research: Scientists may need to convert temperatures from Kelvin to Celsius to analyze data and draw conclusions.

Q: Can you give some tips for converting between temperature scales?

A: Here are some tips for converting between temperature scales:

  • Make sure to use the correct formula for the conversion you are trying to make.
  • Double-check your calculations to ensure that you are getting the correct answer.
  • Use a calculator or online conversion tool to help you with the conversion.
  • Practice converting between temperature scales to become more comfortable with the process.

Q: What are some common mistakes to avoid when converting between temperature scales?

A: Some common mistakes to avoid when converting between temperature scales include:

  • Using the wrong formula for the conversion.
  • Not double-checking calculations.
  • Not using a calculator or online conversion tool.
  • Not practicing converting between temperature scales.

Q: Where can I find more information on converting between temperature scales?

A: You can find more information on converting between temperature scales by:

  • Checking out online resources such as temperature conversion calculators and conversion tables.
  • Consulting with a physics or engineering professional.
  • Reading scientific and engineering texts that cover temperature conversions.
  • Practicing converting between temperature scales to become more comfortable with the process.