Internal standard calibration curve. Figure 5-10 is a graph of Ax/Asversus[X]/[S]=(mol%vinylacetateunits)/(mol%ethyleneunits)=q/p in Reaction 5-13.

(d) From the uncertaintyubof the intercept, find the95%confidence interval for the intercept. Does this interval include the theoretical value of zero?

Short Answer

Expert verified

The95%confidence interval for the intercept95%confidence=±0.160

Step by step solution

01

Define the equation

We will use this equation to calculate the standard uncertainty in $x$.

ux=sym1k+1n+y-y2m2xi-x2

syis the standard deviation of y,

is the absolute value of the slope,

k is the number of replicate measurements of the unknown,

n is the number of data points for the calibration line,

y is the mean value of y

x is the mean value of x.

02

Obtain the 95% confidence interval.

Now, let's calculate the 95%confidence interval for XS

95%confidence=±tux95%confidence=±2.78.019495confidence=±0.541

Now again use the same formula

95%confidence=±tubub=o.o574t=2.7895confidence=±0.160

Thus confidence interval95%confidence=±0.160

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Most popular questions from this chapter

Internal standard. A solution was prepared by mixing 5.00mLof unknown elementXwith2.00mLof solution containingrole="math" localid="1654777035083" 4.13μgof standard elementSper millilitre, and diluting to10.0mL. The signal ratio in atomic absorption spectrometry was (signal fromX)/ (signal fromS)=0.808. In a separate experiment, with equal concentrations ofXandS, (signal fromX)/signal fromS)=1.31. Find the concentration ofXin the unknown.

Standard addition. An unknown sample of Ni2+gave a current of 2.36μAin an electrochemical analysis. When 0.500mLof solution containing role="math" localid="1654761474124" 0.0187MNi2+was added to 25.0mLof unknown, the current increased to 3.79μA.

(a) Denoting the initial, unknown concentration as [Ni2+], write an expression for the final concentration, [Ni2+]f, after role="math" 25.0mLof unknown were mixed with 0.500mLof standard. Use the dilution factor for this calculation.

(b) In a similar manner, write the final concentration of added standard Ni2+, designated as [S]f.

(c) Find[Ni2+]in the unknown.

How is a control chart used? State six indications that a process is going out of control.

Detection limit. In spectrophotometry, we measure the concentration of an analyte by its absorbance of light. A low-concentration sample was prepared and nine replicate measurements gave absorbances of 0.0047,0.0054,0.0062,0.0060,0.0046,0.0056,0.0052,0.0044, and 0.0058. Nine reagent blanks gave values of 0.0006,0.0012, 0.0022,0.0005,0.0016,0.0008,0.0017,0.0010, and 0.0011.

a) Find the absorbance detection limit with equation 5-3.

b) The calibration curve is a graph of absorbance versus concentration. Absorbance is a dimensionless quantity. The slope of the calibration curve is m=2.24x104M-1Find the concentration detection limit with Equation 5-5.

(c) Find the lower limit of quantitation with Equation 5-6.

Europium is a lanthanide element found at parts per billion levels in natural waters. It can be measured from the intensity of orange light emitted when a solution is illuminated with ultraviolet radiation. Certain organic compounds that bindEu(III)are required to enhance the emission. The figure shows standard addition experiments in which10.00mLof sample and20.00mLcontaining a large excess of organic additive were placed in 50-mL volumetric flasks. Then Eu(III) standards (0,5.00,10.00,or15.00mL) were added and the flasks were diluted to50.0mLwithH2O. Standards added to tap water contained0.152ng/mL(ppb) of Eu(III), but those added to pond water were 100 times more concentrated (15.2 ng/mL).


(a) Calculate the concentration of Eu(III)(ng/mL) in pond water and tap water.

(b) For tap water, emission peak area increases by.4.61units when 10.00mL of 0.152ng/mL standard are added. This response is4.61 units/1.52ng = 3.03units per ng ofEu(III). For pond water, the response is12.5units when10.00mLof15.2ng/mLstandard are added, or0.0822units per ng. How would you explain these observations? Why was standard addition necessary for this analysis?

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