Final Temperature Calculator

How to find the final temperature when two objects with different temperatures are mixed? Enter the mass, specific heat, and initial temperature of two objects into the calculator, you can find the final temperature after they are mixed.

What is the Final Temperature Calculator?

This calculator can determine the final temperature after mixing two things. It uses a rule where the warmer thing loses the same amount of heat that the cooler thing gains. This makes their temperatures even out to a middle number. This tool shows that final number when you put in what the two starting temperatures were.

Enter the mass of Object 1 in grams (Mass of Object 1)

Enter the specific heat of Object 1 in joules per gram per degree Celsius (Specific Heat of Object 1)

Enter the initial temperature of Object 1 in degrees Celsius (Initial Temperature of Object 1)

Enter the mass of Object 2 in grams (Mass of Object 2)

Enter the specific heat of Object 2 in joules per gram per degree Celsius (Specific Heat of Object 2)

Enter the initial temperature of Object 2 in degrees Celsius (Initial Temperature of Object 2)

Final temperature will be calculated here (Final Temperature)

Enter the total heat energy added in joules (Total Heat Energy Added)

Enter the combined mass of the objects in grams (Combined Mass of Objects)

Enter the average specific heat of the objects in joules per gram per degree Celsius (Average Specific Heat of Objects)

Enter the initial average temperature of the objects in degrees Celsius (Initial Average Temperature of Objects)

Final temperature after heat addition will be calculated here (Final Temperature After Heat Addition)

Final Temperature Calculator

How to Use the Calculator

1. Basic Calculator

Mass of Object 1 (g): Enter the mass of the first object (e.g., 200 grams).
Specific Heat of Object 1 (J/g°C): Input the specific heat capacity of the first object (e.g., 4.18 J/g°C).
Initial Temperature of Object 1 (°C): Enter the initial temperature of the first object (e.g., 80 °C).
Mass of Object 2 (g): Enter the mass of the second object (e.g., 300 grams).
Specific Heat of Object 2 (J/g°C): Input the specific heat capacity of the second object (e.g., 2.09 J/g°C).
Initial Temperature of Object 2 (°C): Enter the initial temperature of the second object (e.g., 20 °C).
Final Temperature (°C): This field will display the calculated final temperature after you click the calculate button.

2. Advanced Calculator

Total Heat Energy Added (J): Enter the total heat energy added to the system (e.g., 5000 Joules).
Combined Mass of Objects (g): Input the combined mass of both objects (e.g., 500 grams).
Average Specific Heat of Objects (J/g°C): Enter the average specific heat capacity of both objects (e.g., 3.00 J/g°C).
Initial Average Temperature of Objects (°C): Enter the initial average temperature of both objects (e.g., 30 °C).
Final Temperature After Heat Addition (°C): This field will display the calculated final temperature after heat addition.

Formula

For the basic calculator, the formula used is:

 $q_{1} = q_{2}$

Variables

More Calculators

Variable	Description
$m_{1}$	Mass of Object 1 (g)
$c_{1}$	Specific Heat of Object 1 (J/g°C)
$T_{i 1}$	Initial Temperature of Object 1 (°C)
$m_{2}$	Mass of Object 2 (g)
$c_{2}$	Specific Heat of Object 2 (J/g°C)
$T_{i 2}$	Initial Temperature of Object 2 (°C)
$T_{f}$	Final Temperature (°C)

How To Calculate Final Temperature

Example 1: Basic Calculator

Mass of Object 1 (g): 250 grams
Specific Heat of Object 1 (J/g°C): 4.18 J/g°C
Initial Temperature of Object 1 (°C): 75 °C
Mass of Object 2 (g): 350 grams
Specific Heat of Object 2 (J/g°C): 2.09 J/g°C
Initial Temperature of Object 2 (°C): 25 °C

To calculate the Final Temperature (°C):

1. Calculate the heat content of each object:

 $q_{1} = 250 \times 4.18 \times (T_{f} - 75)$ 
 $q_{2} = 350 \times 2.09 \times (T_{f} - 25)$

2. Set $q_{1} = q_{2}$

 $250 \times 4.18 \times (T_{f} - 75) = 350 \times 2.09 \times (T_{f} - 25)$

3. Solve for $T_{f}$

 $1045 (T_{f} - 75) = 731.5 (T_{f} - 25)$ 
 $1045 T_{f} - 78375 = 731.5 T_{f} - 18287.5$ 
 $313.5 T_{f} = 60087.5$ 
 $T_{f} = \frac{60087.5}{313.5}$ 
 $T_{f} \approx 191.7 °C$

So, the final temperature is approximately 191.7 °C.

Example 2: Advanced Calculator

Total Heat Energy Added (J): 8000 Joules
Combined Mass of Objects (g): 600 grams
Average Specific Heat of Objects (J/g°C): 3.5 J/g°C
Initial Average Temperature of Objects (°C): 25 °C

To calculate the Final Temperature After Heat Addition (°C):

1. Use the formula for the final temperature:

 $T_{f} = T_{i} + \frac{Q}{m \cdot c}$

2. Plug in the values:

 $T_{f} = 25 + \frac{8000}{600 \times 3.5}$

3. Calculate:

 $T_{f} = 25 + \frac{8000}{2100}$ 
 $T_{f} = 25 + 3.81$ 
 $T_{f} \approx 28.81 °C$

So, the final temperature after heat addition is approximately 28.81 °C.

Thank you for using our tool.

Final Temperature Calculator