Question

1. the kelvin temperature scale is often used by scientists who work with very cold materials. water freezes at 32°f or 273 k. water boils at 212°f or 373 k. what fahrenheit temperature corresponds to 0 k? a. b.

Explanation:

Step1: Find the relationship between Fahrenheit and Kelvin

We know that when \(F = 32\), \(K=273\); when \(F = 212\), \(K = 373\).
The relationship between Fahrenheit (\(F\)) and Kelvin (\(K\)) is linear. The slope \(m\) of the line \(F= mK + b\) is \(m=\frac{212 - 32}{373 - 273}=\frac{180}{100}=\frac{9}{5}\).
Using the point - slope form \(F - F_1=m(K - K_1)\), with \(F_1 = 32\) and \(K_1=273\), we get \(F-32=\frac{9}{5}(K - 273)\).

Step2: Substitute \(K = 0\) into the equation

Substitute \(K = 0\) into \(F-32=\frac{9}{5}(K - 273)\).

$$
LATEXBLOCK0
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Answer:

\(-459.4^{\circ}F\)