To calculate the final temperature, use the principle of thermal equilibrium, where q1=q2q_1 = q_2, meaning the heat lost by one substance is equal to the heat gained by another.
The Final Temperature Calculator is specially used to measure the final temperature when two substances are mixed. Basically, this calculation is based on the law of conservation of energy. This law states that the heat gained by the cooler substance is equal to the heat lost by the warmer substance.
For instance, when hot and cold water are mixed, the final temperature will depend on the masses and specific heat capacities of the substances involved. This calculation is important in many scientific applications, including chemistry and physics, to understand thermal equilibrium and energy transfer.
Formula
| Variable | Description |
|---|---|
| q1 | Heat lost or gained by substance 1 |
| q2 | Heat lost or gained by substance 2 |
Solved Calculations
Example 1:
For instance, if 40 g of water at 90°C is mixed with 60 g of water at 25°C, the final temperature can be calculated assuming the heat lost by the hot water is equal to the heat gained by the cold water:
| Step | Calculation |
|---|---|
| Mass of Hot Water | 40 g |
| Specific Heat of Water | 4.18 J/g°C |
| Initial Temp of Hot Water | 90°C |
| Mass of Cold Water | 60 g |
| Specific Heat of Water | 4.18 J/g°C |
| Initial Temp of Cold Water | 25°C |
| Final Temperature Calculation | Heat lost by hot water = Heat gained by cold water |
| Result | 50°C |
Answer: The final temperature is 50°C.
Example 2:
Similarly, if 30 g of water at 80°C is mixed with 70 g of water at 20°C, the final temperature is calculated using the same principle:
| Step | Calculation |
|---|---|
| Mass of Hot Water | 30 g |
| Specific Heat of Water | 4.18 J/g°C |
| Initial Temp of Hot Water | 80°C |
| Mass of Cold Water | 70 g |
| Specific Heat of Water | 4.18 J/g°C |
| Initial Temp of Cold Water | 20°C |
| Final Temperature Calculation | Heat lost by hot water = Heat gained by cold water |
| Result | 48.6°C |
Answer: The final temperature is 48.6°C.
What is a Final Temperature Calculator?
The Final Temperature Calculator is a useful tool in both physics and chemistry. It supports to determine the final temperature of a system after heat has been transferred. This tool is necessary when dealing with mixtures of different substances, such as mixing hot and cold water or when calculating the final equilibrium temperature after a heat exchange process.
It helps in accurately calculating how the temperature of substances changes based on their mass, initial temperature, and specific heat capacity.
To use this calculator, you need to input the mass, specific heat capacity, and initial temperature of the substances involved. The calculator then applies the specific heat equation or other relevant formulas to compute the final temperature of the system after equilibrium is reached.
Whether you’re calculating the final temperature of water, a mixture of liquids, or a gas, this tool ensures precision in your results.
Final Words:
To sum up, the Final Temperature Calculator is an excellent tool for anyone studying thermodynamics or heat transfer, offering accurate results for calculating the final temperature in various scenarios involving temperature changes and heat exchanges.
