Develop a spreadsheet to determine the isopleths for a puff at a specified time after the release of material. The spreadsheet should contain specific cells for user input of the following quantities: time after release \((\mathrm{s})\), wind speed \((2 \mathrm{~m} / \mathrm{s})\), total release \((\mathrm{kg})\), release height \((\mathrm{m})\), molecular weight of released gas, ambient temperature \((\mathrm{K})\), ambient pressure ( \(\mathrm{atm})\), and isopleth concentration (ppm).

The spreadsheet output should include, at each point downwind, the downwind location, both \(y\) and \(z\) dispersion coefficients, downwind centerline concentration, and isopleth distance off-center (+/-).

The spreadsheet output should also include a graph of the isopleth location.

For your spreadsheet construction, we suggest that you set up the cells to move with the puff center. Otherwise, you will need a large number of cells.

Use the spreadsheet for the following case:

Release mass: \(0.5 \mathrm{~kg}\)

Release height: \(0 \mathrm{~m}\)

Molecular weight of gas: 30 Ambient temperature: \(298 \mathrm{~K}\)

Ambient pressure: 1 atm Isopleth concentration: \(1 \mathrm{ppm}\)

Atmospheric stability: \(\mathrm{F}\)

Run the spreadsheet for a number of different times, and plot the maximum puff width as a function of distance downwind from the release.

Answer the following questions:

a. At what distance downwind does the puff reach its maximum width?

b. At what distance and time does the puff dissipate?

c. Estimate the total area swept out by the puff from initial release to dissipation.

Your submitted work should include a description of your method of solution, a complete spreadsheet output at \(2000 \mathrm{~s}\) after release, a plot of maximum puff width as a function of downwind distance, and the calculation of the total swept area.