Heat and adiabatic processes perhaps

In summary, the conversation discusses the mixing of two cups of water with different masses and temperatures in an insulated thermos. The question is asked about the final temperature of the water, and an equation is provided as a possible solution.
  • #1
map7s
146
0
You have two cups, one with m1 = 2.73 kg of water at t1 = 42.32oC and the other with m2 = 1.88 kg at t2 = 21.34oC. You mix the two in an insulated thermos. What is the final temperature of the water?

I'm pretty sure that this is supposed to be an adiabatic process, because you are trying to keep all of the temperature from going into the outside environment. However, i have absolutely no idea as to how to go about doing this problem.
 
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  • #2
Is there a certain equation that I am supposed to use?
 
  • #3
Tf = [(m1*T1) + (m2*T2)] / (m1+m2)

Hope this helps! :)
 

FAQ: Heat and adiabatic processes perhaps

What is heat and how does it differ from temperature?

Heat is a form of energy that is transferred from one object to another due to a difference in temperature. Temperature, on the other hand, is a measure of the average kinetic energy of the particles in an object.

What is an adiabatic process?

An adiabatic process is a thermodynamic process in which there is no transfer of heat between the system and its surroundings. This means that the change in the internal energy of the system is solely due to work being done on or by the system.

How does the first law of thermodynamics apply to adiabatic processes?

The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or converted. In an adiabatic process, the change in internal energy of the system is equal to the work done on or by the system, and there is no heat transfer.

What is the adiabatic lapse rate?

The adiabatic lapse rate is the rate at which the temperature of a parcel of air changes as it rises or sinks in the atmosphere without exchanging heat with its surroundings. The dry adiabatic lapse rate is approximately 9.8 degrees Celsius per kilometer, while the moist adiabatic lapse rate varies depending on the water vapor content of the air.

How is the adiabatic process used in practical applications?

The adiabatic process is used in various practical applications, such as in the design of engines and refrigeration systems. In engines, the adiabatic process is used to increase the efficiency of the system by minimizing heat loss. In refrigeration systems, the adiabatic process is used to cool and compress the refrigerant without any heat transfer, making the process more efficient.

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