Verify the derivative in cell D7 of Figure 11-6.

Short Answer

Expert verified

The value 0.226 in cell D7 is verified.

Step by step solution

01

Information given

The derivative in cell D7=0.226. We need to verify the value. All the information must be taken from the following table

The second number in the third column, 86.5, is the average of the second and third volumes (86.0 and 87.0) in the first column.

02

Derivation

To compute the first derivative, each pair of volumes need to be averaged and the quantity ΔpH/ΔV will be calculated. Between consecutive readings the change in pH is ΔpH and the change in volume is ΔV.

03

Calculation

The derivative ΔpH/ΔV is calculated using the above-mentioned values.

pHV=4.626-4.40087-86=0.2261=0.226

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Most popular questions from this chapter

11-22. The figure compares the titration of a monoprotic weak acid with a monoprotic weak base and the titration of a diprotic acid with a strong base.

(a) Write the reaction between the weak acid and the weak base and show that the equilibrium constant is 107.78. This large value means that the reaction goes "to completion" after each addition of the reagent.

(b) Why doespK2intersect the upper curve at 32Ve and the lower curve at 2Ve? On the lower curve, "pK2"is pKathe acid, BH+.


(a) Titration of 100mL of 0.050MH2A(pK1=2.86,pK2=10.64) with 0.050 M NaOH.

(b) Titration of 100mL of the weak acid localid="1663575238403" HA(0.050M,pKa=2.86) with the weak baselocalid="1663575247899" B(0.050M,pKb=3.36).

Indicator error. Consider the titration in Figure 11-2 in which the equivalence-point pH in Table 11-2 is 9.25 at a volume of 10.00 mL.

(a) Suppose you used the yellow-to-blue transition of thymol blue indicator to find the end point. According to Table 11-3, the last trace of green disappears near pH 9.6. What volume of base is required to reach pH 9.6? The difference between this volume an 10 mL is the indicator error.

(b) If you used cresol red, with a color change at pH 8.8, what would be the indicator error?

Pyridine is half protonated in aqueous phosphate buffer at pH 5.2. If you mix 45 mL of phosphate buffer with 55 mL of methanol, the buffer must have a pH of 3.2 to half protonate pyridine. Suggest a reason why.

11-18. Calculate the pHof a solution made by mixing50.00mLof 0.100MNaCNwith

(a)4.20mLOf 4.38M

(b)4.20mLOf 4.38M

(c) What is the pHat the equivalence point with4.38MHCIO4?

Cresol red has two transition ranges listed in Table 11-3. What color would you expect it to be at the following pH values?

(a)0(b)1(c)6(d)9

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