Cooling Time Calculator

Formula

The formula to calculate the Cooling Time (Tc) is:

\[ Tc = \frac{m \cdot c \cdot (Ti - Tf)}{h \cdot A} \]

Where:

\( Tc \) is the Cooling Time (seconds)
\( m \) is the Mass of the object or substance (kg)
\( c \) is the Specific Heat Capacity of the substance (J/kg°C)
\( Ti \) is the Initial Temperature (°C)
\( Tf \) is the Final Temperature (°C)
\( h \) is the Heat Transfer Coefficient (W/m²°C)
\( A \) is the Surface Area of the object or substance (m²)

What is Cooling Time?

Cooling time refers to the period required for an object or substance to decrease in temperature to a desired level. This term is often used in various fields such as physics, engineering, and cooking. The duration of the cooling time can depend on several factors including the initial temperature, the desired final temperature, the properties of the substance, and the cooling method used.

Example Calculation

Let's assume the following values:

Mass (m) = 5 kg
Specific Heat Capacity (c) = 4200 J/kg°C
Initial Temperature (Ti) = 80 °C
Final Temperature (Tf) = 20 °C
Heat Transfer Coefficient (h) = 50 W/m²°C
Surface Area (A) = 0.5 m²

Using the formula to calculate the Cooling Time:

\[ Tc = \frac{5 \cdot 4200 \cdot (80 - 20)}{50 \cdot 0.5} = \frac{1260000}{25} = 50400 \text{ seconds} \]

The Cooling Time is 50400 seconds.