Thermodynamics, Linear Interpolation

In summary, the person is seeking an explanation for how to use linear interpolation to find data from a thermodynamics chart. The method involves using the two-point equation of a line to determine the value of a third point that falls between the first two points on the chart.
  • #1
CursedAntagonis
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Homework Statement


I have been trying to learn how to use linear interpolation to find out the data needed from the thermodynamics chart, however, the book that is assigned does not even talk about it. Could someone please explain how linear interpolation is used? Thanks
 
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  • #2
The assumption with linear interpolation is that the two points (x1, y1) and (x2, y2) are connected with a line. Using the two point equation of a line, we get:

y - y1 = m (x - x1), where m = (y2 - y1)/(x2 - x1)

Thus for x3 that is between x1 and x2, we get:

y3 = y1 + (x3 - x1) (y2 - y1)/(x2 - x1)
 

1. What is thermodynamics?

Thermodynamics is the branch of physics that deals with the relationships between heat, energy, and work. It studies how these three factors interact and change within a system.

2. How does thermodynamics apply to everyday life?

Thermodynamics is applicable to a wide range of everyday activities, from cooking to driving a car. It helps us understand how heat and energy are transferred and transformed in various processes and systems.

3. What is linear interpolation in thermodynamics?

Linear interpolation is a method used to estimate values between two known data points. In thermodynamics, it is often used to determine the properties of a substance at a specific temperature or pressure based on data from neighboring points.

4. How is thermodynamics related to the laws of physics?

The laws of thermodynamics are fundamental laws of physics that govern the behavior of energy in a system. They are based on the principles of conservation of energy and the second law of thermodynamics, which states that the total entropy of a closed system always increases over time.

5. What are some practical applications of linear interpolation in thermodynamics?

Linear interpolation is commonly used in thermodynamics to estimate properties of substances, such as specific heat and enthalpy, at various temperatures and pressures. It is also used in the design and optimization of heat exchangers and other thermodynamic systems.

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