Watts to Temperature Change Calculator

Formula

The formula to calculate the Temperature Change (ΔT) is:

\[ \Delta T = \frac{P \times t}{m \times c} \]

Where:

\( \Delta T \) is the temperature change in °C
\( P \) is the power in watts
\( t \) is the time in seconds
\( m \) is the mass in kilograms
\( c \) is the specific heat capacity in J/kg°C

Definition

Temperature Change: The variation in temperature that a substance undergoes when energy is added or removed.
Significance: In this context, it is the change in temperature of a mass when a certain amount of energy, measured in watts, is applied over a period of time. The specific heat capacity of the material is crucial in determining how much the temperature will change for a given amount of energy.

Example

Let's say the power (P) is 100 watts, the time (t) is 60 seconds, the mass (m) is 2 kilograms, and the specific heat capacity (c) is 4.18 J/kg°C. Using the formula:

\[ \Delta T = \frac{100 \times 60}{2 \times 4.18} = 717.99 \]

So, the temperature change (ΔT) is 717.99 °C.