Enter the mass, specific heat, temperature change, and power into the calculator to determine the heating time. This calculator helps to estimate the time required to heat a given mass to a specific temperature.
Heating Time Formula
The following formula is used to calculate the heating time.
t = (m * c * ΔT) / P
Variables:
- t is the heating time (seconds)
- m is the mass of the substance being heated (kg)
- c is the specific heat capacity of the substance (J/kg°C)
- ΔT is the temperature change (°C)
- P is the power supplied (Watts)
To calculate the heating time, multiply the mass of the substance by its specific heat capacity and the desired temperature change, then divide by the power supplied.
What is Heating Time?
Heating time is the duration required to increase the temperature of a given mass of a substance from one temperature to another when power is applied. This concept is crucial in various fields such as cooking, materials processing, and thermal management in engineering systems. The heating time depends on the mass, specific heat capacity of the material, the temperature change, and the power of the heat source.
How to Calculate Heating Time?
The following steps outline how to calculate the Heating Time.
- First, determine the mass of the substance (m) in kilograms.
- Next, determine the specific heat capacity of the substance (c) in Joules per kilogram per degree Celsius.
- Next, determine the desired temperature change (ΔT) in degrees Celsius.
- Next, determine the power supplied (P) in Watts.
- Next, gather the formula from above = t = (m * c * ΔT) / P.
- Finally, calculate the Heating Time (t) in seconds.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
mass of the substance (m) = 2 kg
specific heat capacity of the substance (c) = 4186 J/kg°C (specific heat of water)
desired temperature change (ΔT) = 80 °C
power supplied (P) = 1000 Watts