Hi, please help me with this chemistry problem!

Note: Please show all your work! Thanks!

4. You are charged with choosing a grating for a spectrometer which will be operated from 800-1200 nm. You can choose between three gratings with different groove density a) 10000 grooves/cm b) 1,000,000 groves /cm and c) 100 grooves /cm. Based on the fundamental properties of diffraction, which one should you choose? Why? When an unknown data sample was analyzed using a given analytical technique, it was found to yield an analytical signal of 32.80.32(n=1000 measurements). The company decided that the time per measurement was the limit of throughput for the system and wanted to reduce the total analysis time by reducing the number of individual measurements per sample. a. Calculate the S/N ratio for the sample when 1000 independent measurements were made. b. The company decided that for this given analysis, a S/N ratio of 10 was an acceptable value. How many measurements are required to obtain a S/N ratio of 10 for this sample