Thermal Capacity after mixing

In summary, the conversation discusses the thermal capacity of a mixture created from two different fluids with different thermal capacities. The question is whether the new thermal capacity of the mixture can be calculated using a specific formula, or if it varies depending on the nature of the fluids. The conclusion is that it is a case-by-case relationship, but if the fluids form an ideal solution, the formula provided is accurate.
  • #1
pomekrank
13
0
Hi,
Say we have fluid A with thermal capacity C_a and fluid B with C_b. If we create a solution with X% of fluid A and (1-X)% of fluid B, is it true that the new thermal capacity of the mixture will be
C_new ?= C_a*X + C_b * (1-X)
Or it is a case-by-case relationship that depends on the nature of the fluids ?

Thank you
 
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  • #2
Case by case.
 
  • #3
pomekrank said:
Hi,
Say we have fluid A with thermal capacity C_a and fluid B with C_b. If we create a solution with X% of fluid A and (1-X)% of fluid B, is it true that the new thermal capacity of the mixture will be
C_new ?= C_a*X + C_b * (1-X)
Or it is a case-by-case relationship that depends on the nature of the fluids ?

Thank you
If A and B form a so-called "ideal solution," then your mixing rule is correct. For a solution to be ideal, the molecular attractions between A and A, B and B, and A and B must be nearly the same.
 

1. What is thermal capacity after mixing?

Thermal capacity after mixing refers to the ability of a substance or system to store and release thermal energy after it has been mixed with another substance or system. It is a measure of the amount of heat that can be absorbed or released by the substance or system.

2. How is thermal capacity after mixing calculated?

Thermal capacity after mixing is calculated by dividing the change in heat energy by the change in temperature. This is known as the specific heat capacity and is typically measured in joules per degree Celsius (J/°C).

3. What factors can affect thermal capacity after mixing?

Thermal capacity after mixing can be affected by several factors, including the specific heat capacity of the substances being mixed, the temperature difference between the substances, and the amount of each substance being mixed. It can also be affected by the presence of impurities or other substances in the mixture.

4. How does thermal capacity after mixing impact the temperature of a system?

When two substances with different thermal capacities are mixed, the resulting temperature will be a combination of the two initial temperatures. The substance with the higher thermal capacity will have a greater influence on the final temperature. This is because it can absorb or release more thermal energy, depending on its specific heat capacity.

5. Can thermal capacity after mixing be changed?

Yes, thermal capacity after mixing can be changed by altering the amount or type of substances being mixed, or by changing the temperature difference between the substances. It is also possible to change the thermal capacity of a substance through physical or chemical processes, such as adding or removing impurities or undergoing a phase change.

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