Question
Water boils at 212°F. Which temperature is an equivalent temperature?
A.
0 K
B.
100 K
C.
244 K
D.
373 K
E.
485 K
A.
0 K
B.
100 K
C.
244 K
D.
373 K
E.
485 K
Answers
GPT-4o mini
To determine which temperature is equivalent to 212°F, we can convert 212°F to Kelvin using the formula:
1. Convert Fahrenheit to Celsius:
\[
C = \frac{5}{9}(F - 32)
\]
where \( F \) is the temperature in Fahrenheit.
Substituting \( F = 212 \):
\[
C = \frac{5}{9}(212 - 32) = \frac{5}{9}(180) = 100°C
\]
2. Convert Celsius to Kelvin:
\[
K = C + 273.15
\]
Substituting \( C = 100 \):
\[
K = 100 + 273.15 = 373.15 K
\]
Since we are looking for an equivalent temperature in the provided options, we can round \( 373.15 K \) to \( 373 K \).
The equivalent temperature in Kelvin is \( 373 K \).
Thus, the correct answer is:
**D. 373 K**.
1. Convert Fahrenheit to Celsius:
\[
C = \frac{5}{9}(F - 32)
\]
where \( F \) is the temperature in Fahrenheit.
Substituting \( F = 212 \):
\[
C = \frac{5}{9}(212 - 32) = \frac{5}{9}(180) = 100°C
\]
2. Convert Celsius to Kelvin:
\[
K = C + 273.15
\]
Substituting \( C = 100 \):
\[
K = 100 + 273.15 = 373.15 K
\]
Since we are looking for an equivalent temperature in the provided options, we can round \( 373.15 K \) to \( 373 K \).
The equivalent temperature in Kelvin is \( 373 K \).
Thus, the correct answer is:
**D. 373 K**.