Enter the initial temperature, ambient temperature, heat transfer coefficient, surface area, and time into the calculator to determine the final temperature of a parcel.

Parcel Temperature Formula

The following formula is used to calculate the final temperature of a parcel.

T_final = T_initial + (T_ambient - T_initial) * (1 - e^{(-h * A * t / 3600)})

Variables:

  • T_final is the final temperature of the parcel (°C)
  • T_initial is the initial temperature of the parcel (°C)
  • T_ambient is the ambient temperature (°C)
  • h is the heat transfer coefficient (W/m²K)
  • A is the surface area of the parcel (m²)
  • t is the time (hours)

To calculate the final temperature of a parcel, input the initial temperature, ambient temperature, heat transfer coefficient, surface area, and time into the formula above. The formula accounts for the heat transfer between the parcel and its surroundings over the given time period.

What is Parcel Temperature?

Parcel temperature refers to the temperature of a package or container, which can change over time due to heat transfer with its surroundings. This is particularly important in the context of shipping temperature-sensitive goods, where maintaining a specific temperature range is crucial. The heat transfer coefficient, surface area, and ambient temperature are key factors that influence how quickly a parcel’s temperature will converge to the ambient temperature.

How to Calculate Parcel Temperature?

The following steps outline how to calculate the final temperature of a parcel.


  1. First, determine the initial temperature of the parcel (T_initial) in degrees Celsius.
  2. Next, determine the ambient temperature (T_ambient) in degrees Celsius.
  3. Next, determine the heat transfer coefficient (h) in watts per square meter per Kelvin (W/m²K).
  4. Next, determine the surface area of the parcel (A) in square meters (m²).
  5. Next, determine the time (t) in hours over which the temperature change will occur.
  6. Finally, calculate the final temperature (T_final) of the parcel using the formula provided.
  7. 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.

Initial temperature of the parcel (T_initial) = 5°C

Ambient temperature (T_ambient) = 25°C

Heat transfer coefficient (h) = 10 W/m²K

Surface area of the parcel (A) = 2 m²

Time (t) = 3 hours