Question

A pan of water is heated from 23°C to 78°C. What is the change in its temperature on the Kelvin and Fahrenheit scales?

Answer 1

To find the change in temperature in both the Kelvin and Fahrenheit scales, we first need to calculate the change in temperature in degrees Celsius.

1. **Calculate the change in temperature in Celsius:**
\[
\Delta T_{C} = T_{final} - T_{initial} = 78°C - 23°C = 55°C
\]

2. **Convert the change to Kelvin:**
The change in temperature in Kelvin is the same as in Celsius because the size of the degrees is the same. Thus:
\[
\Delta T_{K} = \Delta T_{C} = 55 K
\]

3. **Convert the change to Fahrenheit:**
The formula to convert Celsius change to Fahrenheit change is:
\[
\Delta T_{F} = \Delta T_{C} \times \frac{9}{5}
\]
Therefore:
\[
\Delta T_{F} = 55°C \times \frac{9}{5} = 99°F
\]

In summary:
- The change in temperature is **55 K** in Kelvin.
- The change in temperature is **99°F** in Fahrenheit.