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Standard addition graph. Students performed an experiment like that in Figure 5-7 in which each flask contained 25.00mLof serum, varying additions of 2.640MNaCIstandard, and a total volume of 50.00mL.


(a) Prepare a standard addition graph and find [Na+]in the serum.

(b) Find the standard deviation and 95%confidence interval for [Na+].

Short Answer

Expert verified

(a) The concentration of was calculated to be 0.01396M.

(b)0.1403.37% is the standard addition and95% confidence interval of Na+is0.015M.

Step by step solution

01

The concentration of in the serum

(a)

The concentration of added NaCIandls+xare plotted on a spreadsheet with a axis.

Every solution is created with the same volume.

Then ls+xvsSfis plotted as Xf=0.698Mhas a negative intercept.

The dilution factor 250.00mL/25.0mLmakes the starting concentration of NaClbigger. In serum, the initial concentration of NaClwas 2.0000.0698M=0.01396M.

The concentration of was calculated to be0.01396M.

02

The standard deviation and confidence interval for [Na+]

The concentration of added NaClandls+xare plotted on a spreadsheet with a x-axis.

The x-intercept is determined in cell B20, and its uncertainty is estimated in cell B27, as shown in Figure 1.

0.00235/0.0698=3.37%percent relative uncertainty

Because the uncertainty in the original concentration of Na+is significantly bigger than the relative uncertainties in volume measurement, the uncertainty in the original concentration of Na+is estimated to be 3.37%.

Na+has a sensible expression in the original serum is0.1403.37%M=0.1400.0047M

The interval in 95%confidence is l=ts=3.1820.0047M=0.015M

Here, tis for 5-2=3degreeof freedom.

0.1403.37%is the standard addition and95% confidence interval of Na+is0.015M.

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