The acid HA has pKa= 4.00. Find the fraction in the form HA and the fraction in the form A- at pH = 5.00. Does your answer agree with what you

expect for the quotient [A2]/[HA] at pH 5.00?

Short Answer

Expert verified

The answer would agree with expected for the quotient at pH 5.00.

Step by step solution

01

Step 1: Henderson Hasselbalch Equation

One way to determine the pH of a buffer is by using the Henderson–Hasselbalch equation, which is pH = pKₐ + log([A⁻]/[HA]). In this equation, [HA] and [A⁻] refer to the equilibrium concentrations of the conjugate acid–base pair used to create the buffer solution.

02

Calculating fraction in the form HA and the fraction in theform A- at pH = 5.00;

Fraction in the form of HA,

HA=αHA=H+H++KaαHA=10-510-5+10-4αHA=0.0909

Fraction in the form of A-,

A-=αA-=KaH++KaαA-=10-410-5+10-4αA-=0.909

From Henderson Hasselbalch Equation;

pH=pKa+logA-HA5.00=4.00+log0.9090.090910=10

Hence, our answer would agree with expected for the quotientA-HA at Ph 5.00.

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Most popular questions from this chapter

A solution was prepared from 10.0 mLof 0.100Mcacodylic acid and 10.0mLof 0.0800MNaOH. To this mixture was added 1.00mL of 1.27×10-6M morphine. Calling morphine B, calculate the fraction of morphine present in the form BH+.

Consider HA-, the intermediate form of a diprotic acid.K2for this species is10-4andKbis10-8. Nonetheless, the Kaand Kbreactions proceed to nearly the same extent when NaHA is dissolved in water. Explain.

  1. Fractional composition in a tetraprotic system. Prepare a fractional composition diagram analogous to Figure 10-4 for the tetraprotic system derived from hydrolysis of Cr+:

localid="1654853037629" Cr3++H2OCrOH2++H+Ka1=10-3.80CrOH2++H2OCrOH2++H+Ka2=10-6.40CrOH2++H2OCrOH3aq+H+Ka3=10-6.40CrOH3aq+H2OCrOH4-+H+Ka4=-11.40

(Yes, the values oflocalid="1654853051658" Ka2andlocalid="1654853058271" Ka3are equal.)

(a) Use these equilibrium constants to prepare a fractional composition diagram for this tetraprotic system.

(b) You should do this part with your head and your calculator, not your spreadsheet. The solubility of is given by

localid="1654853063951" CrOH3SCrOH3aqKa3=10-6.80

What concentration of localid="1654853075036" CrOH3aqis in equilibrium with solid localid="1654853085944" CrOH3aqS?

(c) What concentration oflocalid="1654853094735" CrOH2+is in equilibrium with localid="1654853101499" CrOH3aqSif the solution localid="1654853109266" pHis adjusted tolocalid="1654853117749" 4.00?

Heterogeneous equilibrium.CO2dissolves in water to give "carbonic acid" (which is mostly dissolvedCO2, as described in Box 6-4).

CO2(g)𝆏CO2(aq)K=10-1.5

(The equilibrium constant is called the Henry's law constant for carbon dioxide, because Henry's law states that the solubility of a gas in a liquid is proportional to the pressure of the gas.) The acid dissociation constants listed for "carbonic acid" in Appendix G apply toCO2(aq). Given thatPCO2in the atmosphere is 10-3.4atm, find the pHof water in equilibrium with the atmosphere.

(a) Derive equations for αH3A,αH2A,αHA2-,αA3-for a triprotic system.

(b) Calculate the values of these fractions for phosphoric acid at pH 7.00.

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