You are making fluorescence measurements and need to improve the signal to noise to be able to get a detection limit of 10 pM. Currently you spectrometer has a detection limit of 75 pM (3 x standard deviation of the noise definition) with signal averaging 15 scans. You can increase your source power such that your signal is increased 65 percent and the noise increases 12 percent. If you do this how many scans to you need to get a detection limit of 10 pM? Assume 3 x standard deviation of the noise definition for the detection limit.