Math Problem Statement

One can convert temperature from Kelvin into Fahrenheit using the formula F = (9/5)(K − 273) + 32. What is the temperature in Kelvin corresponding to F degrees Fahrenheit?

Solution

The problem asks for the temperature in Kelvin corresponding to a given temperature in Fahrenheit, and it provides several formula options. The correct formula to convert Fahrenheit (°F) to Kelvin (K) is derived from the relationship between Celsius, Fahrenheit, and Kelvin.

The formula to convert from Fahrenheit to Kelvin is:

K=59(F32)+273K = \frac{5}{9}(F - 32) + 273

This matches option D: 59(F32)273\frac{5}{9}(F - 32) - 273 is almost correct, but it should add 273 instead of subtracting.

So, the answer is: option D.

Would you like further explanation or have any questions?

Here are some related questions you might consider:

  1. How do you derive the formula to convert Kelvin to Fahrenheit?
  2. What is the formula to convert Celsius to Fahrenheit?
  3. How would you convert Kelvin to Celsius directly?
  4. Why do we add or subtract 32 when converting between Fahrenheit and Celsius?
  5. What are the key differences between the Kelvin and Celsius scales?

Tip: Always double-check the placement of constants like 273 in temperature conversion formulas to avoid sign errors.

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Math Problem Analysis

Mathematical Concepts

Temperature Conversion
Algebra

Formulas

F = (9/5)(K − 273) + 32
K = (5/9)(F − 32) + 273

Theorems

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Suitable Grade Level

Grades 9-12