To find the equation converting Kelvin temperature to Fahrenheit, we need to use the two given temperature values and solve for the equation.
Let's start by finding the equation. We have two sets of temperatures, (30°F, 271.89 K) and (94°F, 307.44 K).
First, let's find the slope of the equation:
slope = (change in Y) / (change in X)
slope = (307.44 K - 271.89 K) / (94°F - 30°F)
slope = 35.55 K / 64°F
slope ≈ 0.555 K/°F
Now, let's find the equation using the slope and one of the points:
y - y1 = m(x - x1)
Using the point (30°F, 271.89 K):
y - 271.89 K = 0.555 K/°F * (x - 30°F)
y - 271.89 K ≈ 0.555 K/°F * x - 16.65 K/°F
Simplifying the equation:
y ≈ 0.555 K/°F * x + (271.89 K + 16.65 K)
y ≈ 0.555 K/°F * x + 288.54 K
So, the equation converting Kelvin temperature (K) to Fahrenheit (°F) is:
°F ≈ 0.555 * K + 288.54
Now, let's find the Fahrenheit temperature when it is 212 degrees K by substituting the value of K into the equation:
°F ≈ 0.555 * 212 + 288.54
°F ≈ 117.66 + 288.54
°F ≈ 406.20
Therefore, when it is 212 degrees K, the Fahrenheit temperature is approximately 406.20°F.