AC Cooling Time Calculator

How long does it take for an object to cool down? The Cooling Time Calculator helps you find the time required for a material to reach its desired temperature after losing heat. Enter the Mass, Specific Heat Capacity, Initial Temperature, Final Temperature, Heat Transfer Coefficient, and Surface Area, into the calculator you can calculate the Cooling Time.

What is Cooling Time?

Cooling time refers to the period it takes for an object to reduce its temperature to a specific value. This depends on various factors like the material’s mass, its specific heat capacity, and the environment’s heat transfer properties. Understanding cooling time is crucial in fields like engineering, food processing, and materials science, where precise temperature control is required.

How to Use the Cooling Time Calculator

To use the calculator, follow these simple steps:

1. Basic Calculator:

• Mass (kg): Enter the mass of the object. For example, if the object weighs 5 kg, enter 5.
• Specific Heat Capacity (J/kg°C): Enter the specific heat capacity of the material. For example, if it is 900 J/kg°C, enter 900.
• Initial Temperature (°C): Enter the starting temperature of the object, such as 100°C.
• Final Temperature (°C): Enter the target temperature, for example, 50°C.
• Heat Transfer Coefficient (W/m²°C): Enter the heat transfer coefficient, like 20 W/m²°C.
• Surface Area (m²): Enter the surface area of the object, e.g., 2 m².
• Cooling Time (s): If you know the cooling time, enter it here. If not, leave it blank, and the calculator will compute it for you.

2. Advanced Calculator:

• Total Mass (kg): Enter the total mass, such as 10 kg.
• Average Specific Heat Capacity (J/kg°C): Enter the average specific heat capacity, e.g., 800 J/kg°C.
• Average Initial Temperature (°C): Enter the average initial temperature, such as 120°C.
• Desired Final Temperature (°C): Enter the desired final temperature, e.g., 30°C.
• Overall Heat Transfer Coefficient (W/m²°C): Enter the overall heat transfer coefficient, such as 15 W/m²°C.
• Total Surface Area (m²): Enter the total surface area, like 3 m².
• The calculator will give you the Estimated Cooling Time (s) based on these inputs.

Cooling Time Formula

The formula to calculate the cooling time is:

$$T_c = \frac{m \times c \times (T_i - T_f)}{h \times A}$$

Variables

How To Calculate AC Cooling Time

Example 1: Basic Calculator

Input:

• Mass: 4 kg
• Specific Heat Capacity: 900 J/kg°C
• Initial Temperature: 80°C
• Final Temperature: 30°C
• Heat Transfer Coefficient: 25 W/m²°C
• Surface Area: 1.5 m²
• Cooling Time: (To be calculated)

Calculation:

1. Use the formula:

$$T_c = \frac{4 \times 900 \times (80 - 30)}{25 \times 1.5} = 4800 \text{ seconds$$

Result: The cooling time is 4800 seconds.

Example 2: Advanced Calculator

Input:

• Total Mass: 6 kg
• Average Specific Heat Capacity: 850 J/kg°C
• Average Initial Temperature: 100°C
• Desired Final Temperature: 40°C
• Overall Heat Transfer Coefficient: 18 W/m²°C
• Total Surface Area: 2 m²
• Cooling Time: (To be calculated)

Calculation:

1. Use the formula:

$$T_c = \frac{6 \times 850 \times (100 - 40)}{18 \times 2} = 8500 \text{ seconds}$$

Result: The cooling time is 8500 seconds.

Final Words

I hope you found the Cooling Time Calculator is a valuable tool to estimate the time required for an object to cool down.