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The Equation to Correlate Intensity and Temperature to PPM

The Equation to Correlate Intensity and Temperature to PPM. Outline. Thoughts and theory behind approach Temperature fixed, intensity to ppm correlation Final equation How well it works so far – on two sets of data gathered. Thoughts (1).

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The Equation to Correlate Intensity and Temperature to PPM

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  1. The Equation to Correlate Intensity and Temperature to PPM

  2. Outline • Thoughts and theory behind approach • Temperature fixed, intensity to ppm correlation • Final equation • How well it works so far – on two sets of data gathered

  3. Thoughts (1) • Initially, I wanted to try temperature correction. But the baseline was always the same – at roughly 1300. What does change is how far the signal drops at higher temperature. • I used this value of 1300 to normalize the intensity value. And then I subtracted this value from 1, so that instead of dropping, it would go increase. I then plotted this against the PPM readings. With increased temperature, the signal difference is lowered.

  4. Thoughts (2) • This approach was to just try the first 4 cycle (90 minutes apart). • I set it up so that there was the same X axis for the two data points (occurring every 60 seconds) • This did not look very promising. Everything was scattered. There was no 1-1 correlation. • I then decided there was too many points. So I took it at the last minute before there was a location change. It looked much better there.

  5. Thoughts (3) • I knew that this dataset, to get PPM there were two dependencies – Temperature and Intensity readings. I struggled to find a way to relate the two. • In the end, I decided that perhaps, I can use the simple (y = mx + b) equation. Twice. • Y = (A*T+C)*X +(D*E+F), at least that was the plan.

  6. Thoughts (4) • I tested to see if I held something constant, if the other two correlations were linear. They amazingly were. These had a dependency on Intensity. • I then plotted these coefficients, and found a relationship, dependent on Temperature. • With this, I was able to have an equation with both Temperature and Intensity

  7. The following are the graphs made • The intercept was arbitrarily set to 0.3. The reason was because the b part of (y = mx+b) had no correlation. The 0.3 is roughly what the outside NH3 is.

  8. Final Equation (Rough) • PPM = (35.423*TEMP-758.36)*INTENSITYRATIO+0.3

  9. Sample test. Looks very good.

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