Problem 4 [10 points) From Sparkfun.com (modified) LPG Gas Sensor - MQ-6 In stock SEN-09405 ROHS $4.95 Volume sales pricing Quantity discounts available Add to cart DESCRIPTION DOCUMENTS This is a simple-to-use liquefied petroleum gas (LPG) sensor, suitable for sensing LPG (composed of mostly propane and butane) concentrations in the air. The MQ-6 can detect gas concentrations anywhere from 200 to 10,000 ppm (parts per million). This sensor has a high sensitivity and fast response time. The sensor's output is analog. The drive circuit is very simple; all you need to do is power the heater coil with 5V and connect the output to an ADC. The sensor output is linear and produces 0 V at 200 ppm and 5 V at 10,000 ppm. a) Plot/graph the relationship and derive the equation for the gas concentration as a function of sensor output voltage. b) Assume that the sensor voltage has been stored in variable mV (unit is millivolts). Show how you would use the map function to convert mV to concentration, storing the result into a variable named con (units of ppm)