Question
What is the temperature change in Fahrenheit when water enters a heater at 25°C and leaves at 80°C?
Answers
GPT-4o mini
To find the temperature change in Fahrenheit when water enters a heater at 25°C and leaves at 80°C, we first need to convert the Celsius temperatures to Fahrenheit using the formula:
\[ F = \frac{9}{5}C + 32 \]
1. Convert 25°C to Fahrenheit:
\[
F_1 = \frac{9}{5} \times 25 + 32 = 45 + 32 = 77°F
\]
2. Convert 80°C to Fahrenheit:
\[
F_2 = \frac{9}{5} \times 80 + 32 = 144 + 32 = 176°F
\]
3. Now, calculate the temperature change in Fahrenheit:
\[
\Delta F = F_2 - F_1 = 176°F - 77°F = 99°F
\]
Therefore, the temperature change in Fahrenheit is **99°F**.
\[ F = \frac{9}{5}C + 32 \]
1. Convert 25°C to Fahrenheit:
\[
F_1 = \frac{9}{5} \times 25 + 32 = 45 + 32 = 77°F
\]
2. Convert 80°C to Fahrenheit:
\[
F_2 = \frac{9}{5} \times 80 + 32 = 144 + 32 = 176°F
\]
3. Now, calculate the temperature change in Fahrenheit:
\[
\Delta F = F_2 - F_1 = 176°F - 77°F = 99°F
\]
Therefore, the temperature change in Fahrenheit is **99°F**.