Mixture Temperature Calculator (Thermal Equilibrium)
Compute the final temperature when two substances reach thermal equilibrium: m₁c₁(T₁−T) = m₂c₂(T−T₂), with the heat exchanged.
Key points
Mixture Temperature Calculator (Thermal Equilibrium): Compute the final temperature when two substances reach thermal equilibrium: m₁c₁(T₁−T) = m₂c₂(T−T₂), with the heat exchanged. Formula: T = (m₁c₁T₁ + m₂c₂T₂) / (m₁c₁ + m₂c₂). Enter parameters on the DD-CAT IDE online tool page to get results instantly, with a calculation-model diagram that updates with the inputs. Thermal equilibrium: heat lost by the hot body equals heat gained by the cold body, i.e. m₁c₁(T₁−T) = m₂c₂(T−T₂). The formula assumes no heat loss, no phase change, and temperature-independent specific heat (ideal model).
Inputs
T = (m₁c₁T₁ + m₂c₂T₂) / (m₁c₁ + m₂c₂)Calculation model (updates with parameters)
| Equilibrium temperature T | 50C | T = (m₁c₁T₁ + m₂c₂T₂)/(m₁c₁ + m₂c₂) |
| Equilibrium temperature (kelvin) | 323.15K | |
| Heat exchanged Q | 125.6 kJJ | Heat released by the hot substance = heat absorbed by the cold substance |
| Water-equivalent ratio | 1 | m₁c₁ / m₂c₂ |
Engineering notes
- Thermal equilibrium: heat lost by the hot body equals heat gained by the cold body, i.e. m₁c₁(T₁−T) = m₂c₂(T−T₂).
- The formula assumes no heat loss, no phase change, and temperature-independent specific heat (ideal model).
- If a phase change occurs during mixing (e.g. ice into water), add the latent heat mL.
FAQ
- What is Mixture Temperature Calculator (Thermal Equilibrium) for?
- Compute the final temperature when two substances reach thermal equilibrium: m₁c₁(T₁−T) = m₂c₂(T−T₂), with the heat exchanged.
- What is the formula for Mixture Temperature Calculator (Thermal Equilibrium)?
- Core formula: T = (m₁c₁T₁ + m₂c₂T₂) / (m₁c₁ + m₂c₂). The tool returns results instantly using this formula and the selected parameters.
- What engineering notes should I keep in mind when using Mixture Temperature Calculator (Thermal Equilibrium)?
- Thermal equilibrium: heat lost by the hot body equals heat gained by the cold body, i.e. m₁c₁(T₁−T) = m₂c₂(T−T₂). The formula assumes no heat loss, no phase change, and temperature-independent specific heat (ideal model). If a phase change occurs during mixing (e.g. ice into water), add the latent heat mL.