Consider a random mixture containing 7.00x10° particles of Na2CO3 and 5.00x107 particles of K2CO3. Please do the following a. What is the expected number of NazCO3 particles if you analyze 2500 particles? b. What is the expected number of K2CO3 particles if you analyze 2500 particles?
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- The ratio of the number of atoms of the isotopes 69Ga and 71Ga in eight samples from different sources was measured in an effort to understand differences in reported values of the atomic mass of gallium: Sample 69Ga/71Ga Sample 69Ga/71Ga1 1.526 60 5 1.528 942 1.529 74 6 1.528 043 1.525 92 7 1.526 854 1.527 31 8 1.527 93 Find the (a) mean, (b) standard deviation, (c) variance, and (d) stan-dard deviation of the mean. (e) Write the mean and standard deviation together with an appropriate number of significant digitsApproximately 15% of the particles in a shipment of silver-bearing ore are judged to be argentite (d=7.3 g/cm^3, 87% Ag); the remainder are siliceous (d=2.6 g/cm^3) and contain essentially no silver. a. Calculate the number of particles that should be taken for the gross sample if the relative standard deviation due to sampling is to be 2% or less. b. Estimate the mass of the gross sample, assuming that the particles are spherical and have an average diameter of 3.5 mm.C. Nickel in a sample was determined using a new procedure where six replicate samples resulted in a mean of 19.65% and a variance of 0.4524. Five replicate analyses where conducted using a standard procedure resulting in a mean of 19.24% and a variance of 0.105. If the pooled standard deviation was +0.546, is there a significant difference between the two methods?
- Find the mean sand standard deviation of each sample.In the first part A of the procedure, the ratio of moles H2O/moles CaSO4 is found to be 1.93. In the second trial the ratio was found to be 1.98. Calculate the relative average deviation of the two trials. Should the student run another trial?If it was discovered that a polyaromatic hydrocarbon (PAH) having a density of 1 g/cm3 has a concentration of 1 ppm in the soil, how much soil would be required if a standard deviation of 0.1 is desired for the fundamental sampling error?
- A method for the detection of morphine is used to generate a calibration curve in which the assay response (y) is plotted versus morphine concentration (x, in mg/L). This gives a straight line with a slope (m) of 0.241 and a y-intercept (b) of 0.011, where y = mx + b. The slope of this line has a standard deviation of ±0.007, and the standard deviation of the intercept is ±0.006. If the sample from an athlete gives a response of 0.506 ± 0.013 in this method, what is the concentration of morphine in the sample and estimated precision of this concentration?What are the differences between systematic and random errors and how do they effect accuracy and precision? In what circumstances would you use standard addition (versus a normal calibration curve) to determine the amount of an analyte in a sample? A urine sample, containing analyte Z is analysed by the standard addition method where 5 mL of the original sample was mixed with increasing amounts of a Z standard and each solution diluted to a volume of 50 mL prior to analysis. A plot of the final concentration of the standard in each of the 50 mL samples (x axis) versus The measured signal from the analysis of each 50 mL sample (on y axis) produced a straight line with the general equation: y = 44.72x + 4.06 what was the final concentration of Z in the 50 mL standard addition sample? what was the initial concentration of Z in the original urine sample?Before determining the amount of Na2CO3 in an unknown sample, a student decides to check her procedure by analyzing a sample known to contain 98.76% w/w Na2CO3. Five replicate determinations of the %w/w Na2CO3 in the standard were made with the following results 98.71% 98.59% 98.62% 98.44% 98.58% Is the mean for these five trials significantly different from the accepted value at the 95% confidence level (α = 0.05)
- When LC is coupled with mass spectrometry (MS), what are the advantages (compared to LC only) in terms of analyte identification and quantitation in the sample?1. A student performed this experiment and obtained the following concentration values: 0.02813 M, 0.02802, and 0.02788 M a. what is the mean concentration? b. what is the standard deviation of these results? 3. how would the following errors affect the concentration of Cl- obtained in question 2b? give your reasoning in each case. a. the student read the molarity of AgNo3 as 0.02104M instead of 0.02014M b. the student was past the endpoint of titration when he took the final buret reading.A sample of anhydrous Na2CO3 (FM = 105.989) is suspected to be contaminated with either NaHCO3 (FM = 84.007) or NaOH (FM = 39.997) To verify the suspicion, a 0.7483 g sample was dissolved to prepare a 50.00 mL solution, and a 10.00 mL aliquot was taken to prepare a 100 mL solution, where 25.00 mL was analyzed using single flask method. If the sample requires 27.50 mL of standard 0.0125 N HCl to reach the phenolphthalein endpoint and another 28.40 mL to reach the bromcresol green endpoint, calculate the percentage composition (in %w/w) of all the basic components in the sample.