How to make this plot?

Develop a program that displays an isotherms profile of hydrogen gas (PV diagram)

at a range of temperature of 30 to 90 °C for 20 °C interval and at a range of pressure

between 1 – 50 bar. The profile must be completed with title, axis labels, and legend.

Make sure to differentiate the series with different markers and different line types only,

the colour of the lines and markers must be black. Assume that the gas behaves as an

Ideal Gas Law and the program should request the user to input the amount of

substance of the hydrogen.

[Star Strider]

Use the hold function to plot all of them on the same axes.

Beyond that, solve this:

for one of them as a function of the other, and plot the result.

Answer 1

[Samya]

Hi @Yasmin Marsya! Below is how you can approach to solve your question.

1. Input the amount of substance of hydrogen gas (n)
2. Define temperature range from 30 to 90 °C with 20 °C interval and pressure range from 1 to 50 bar
3. Create a grid for temperature and pressure
4. Calculate the volume of hydrogen gas using the Ideal Gas Law formula

% Creating a grid for temperature and pressure
[T, P] = meshgrid(T_range, P_range);

% Calculating the volume of hydrogen gas using Ideal Gas Law
V = (n * 8.314 * (T + 273.15)) ./ (P * 1e5);

5. Plot the isotherm profiles using the temperature and pressure as x and y-axis respectively and volume as a function

6. For each temperature values,

a) Set the marker to 'o', Line style to '-', and lineWidth to 2

b) Plot the isotherm profile, volume (y-axis) vs pressure (x-axis)

7. Add title, axis labels, legend and customize axes display,

a) Title - 'Isotherm Profile of Hydrogen Gas (30 to 90°C)'

b) X-Label - 'Volume (m^3)'

c) Y-Label - 'Pressure (bar)'

d) Legend - Show each temperature with a marker and line style used for the respective isotherm

e) Customize Axes display:

i) Set box on

ii) Set grid on

iii) Set plot background to white

iv) Set axis tick label font size and display precision

v) Set limit for x and y-axis based on the highest and lowest value of volume and pressure, respectively

Hope this helps! For any further clarifications do comment!

[Dyuman Joshi]

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