How to draw plots for these formulas?

In summary, the conversation discusses the formulas used for adiabatic processes, specifically the equations y=p*V^κ, y=T*V^(κ-1), and y=T^κ*p^(1-κ). It is noted that the heat capacity ratio κ must be greater than 1. It is suggested to use WolframAlpha to plot the equations, but values for variables and constants must be chosen in order to do so.
  • #1
Happy123
1
0
Hello,
I have got these formulas used for adiabatic process. Now I would like know how the plots look like.

A) y=p*V^κ , where κ is Heat capacity ratio

B) y=T*V^(κ-1)

C) y=T^κ*p^(1-κ)

NOTE: κ (Heat capacity ratio) > 1

Thank you
 
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  • #2
WolframAlpha to the rescue. It'll matter quite a bit which are variables for you, and which are constant. You can do something like
Plot[x^2,{x,0,4}]
as an example. You'll have to pick a k-value, if that's a constant. Indeed, you'll pretty much have to pick values for any constants in order to plot them up on any computer.
 

FAQ: How to draw plots for these formulas?

How do I choose the appropriate type of plot for my formula?

The type of plot you choose will depend on the type of data you are working with and the relationships you want to display. For example, if you want to show the relationship between two variables, a scatter plot would be appropriate. If you want to display the distribution of a single variable, a histogram would be a better choice.

How do I input the formula into the plot?

Most plotting software or programming languages have specific syntax for inputting formulas. For example, in R, you would use the "plot()" function and input the formula in the form of "y ~ x", where y is the dependent variable and x is the independent variable.

How do I label the axes of the plot?

Axes labels are important for providing context and understanding to the plot. In most plotting software or programming languages, you can use the "xlab" and "ylab" arguments to specify the labels for the x-axis and y-axis, respectively.

How do I add a legend to the plot?

A legend is useful for explaining the different elements of the plot, such as different lines or colors. In most plotting software or programming languages, you can use the "legend()" function to add a legend to your plot, specifying the labels and colors for each element.

How can I customize the appearance of the plot?

Most plotting software and programming languages provide options for customizing the appearance of the plot, such as changing the colors, line styles, and adding titles or annotations. Refer to the documentation of your chosen software or language for specific instructions on how to customize your plot.

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