Cheap CO2 meter using the MQ135 sensor with AVR ATmega

MQ135 is an Air Quality Sensor suitable for detecting of NH3, Alcohol, Benzene and other gases.Cheap CO2 meter using the MQ135 sensor with AVR ATmega
The description below, is what i derive from the poor datasheet of this sensor, it may be uncorrect, so if you have suggestions please leave me a feedback.
The “sensitivity characteristics of the MQ-135” figure of the datasheet, you can see it below, it is used to convert the output of the sensor to the related ppm physical physical charateristic for the gas under test.
The graphic above seems a power function
y = a*x^b
ppm = a*(Rs/Ro)^b
using power regression, we can obtain scaling factor (a), and exponent (b), for the gas we would like to measure
Ro = Rs * sqrt(a/ppm, b) = Rs * exp( ln(a/ppm) / b )

So, if we want to calibrate a sensor, we “just” need a know amount of a certain gas, then we can read the resistance output value from the sensor (Rs), and we can compute the calibrated Ro value.
We know the current amount of CO2 gas in atmosphere, we can use this as a reference for calibration.
Datasheet tell us even detecting concentration scope for a certain gas, so we can compute the limit for Rs/Ro.
Rs/Ro_limit = (ppm/a) ^ (1/b)
Now, because i want to build a CO2 meter, let’s try to calibrate this sensor for measure CO2.
For CO2, if we measure points graph and do power regression we can obtain the function

ppm = 116.6020682 (Rs/Ro)^-2.769034857
we also know that the current amount of CO2 gas in atmosphere is (unfortunately) 392ppm, so, heating the sensor for 24 hours, and leaving it in open air, if we measure 26954ohm as the resistance output we can Ro should be 41763.
Datasheet does not tell us much for detecting concentration scope for this gas, the figure is from 10 to 200ppm, but we can suppose a limit from 10 to 2000ppm.
The above derivation seems to works quite well, but for estimating the scaling factor, and exponent in a more precise way, i’ve logged raw adc data from MQ135 and correlated to a MHZ14 NDIR infrared sensor.
Data was logged on a xively datastream.Schematic Cheap CO2 meter using the MQ135 sensor with AVR ATmega
For more detail: Cheap CO2 meter using the MQ135 sensor with AVR ATmega

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