The Henderson-Hasselbalch equation relates the pH of a mixture to the con-centration of the base and acid that make up that mixture. It says()pH = - log1(K.) + log,0where B is the concentration of the base (in whatever concentration units youwant) and A is the concentration of the acid (again in whatever concentrationunits you want). Ka is a constant.(a) First, a warmup question.(i) If G(v) = In(v) what is G'(v)?(ii) If H(v) = log10(v) what is H'(v)? (Hint; use the fact, given inSection 4.2.3 of the coursebook, that log1o() =In(a)In(10)%3D(iii) If K(u, v) = log, =)OKwhat isdua(pH)(b) CalculateOBa(pH)(c) Calculate(d) If B and A are both functions of time t (i.e., B = B(t) and A = A(t)),d(pH)calculatedt

Derivative of function represents the rate of change of function value. First derivative of function…

The Henderson-Hasselbalch equation relates the pH of a mixture to the con- centration of the base and acid that make up that mixture. It says pH = - log,(K.) + log10 where B is the concentration of the base (in whatever concentration units you want) and A is the concentration of the acid (again in whatever concentration units you want). K. is a constant. (a) First, a warmup question. (i) If G(v) = In(v) what is G'(v)? (ii) If H(v) Section 4.2.3 of the coursebook, that logio(#) log10 (v) what is H'(v)? (Hint; use the fact, given in In() In(10) (iii) If K(u, v) = log10 OK (4) what is a(pH) (b) Calculate OB (pH) (c) Calculate (d) If B and A are both functions of time t (i.e., B= B(t) and A = A(t)), d(pH) calculate dt

The Henderson-Hasselbalch equation relates the pH of a mixture to the con- centration of the base and acid that make up that mixture. It says pH = - log,(K.) + log10 where B is the concentration of the base (in whatever concentration units you want) and A is the concentration of the acid (again in whatever concentration units you want). K. is a constant. (a) First, a warmup question. (i) If G(v) = In(v) what is G'(v)? (ii) If H(v) Section 4.2.3 of the coursebook, that logio(#) log10 (v) what is H'(v)? (Hint; use the fact, given in In() In(10) (iii) If K(u, v) = log10 OK (4) what is a(pH) (b) Calculate OB (pH) (c) Calculate (d) If B and A are both functions of time t (i.e., B= B(t) and A = A(t)), d(pH) calculate dt

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The Henderson-Hasselbalch equation relates the pH of a mixture to the con-
centration of the base and acid that make up that mixture. It says
()
pH = - log1(K.) + log,0
where B is the concentration of the base (in whatever concentration units you
want) and A is the concentration of the acid (again in whatever concentration
units you want). Ka is a constant.
(a) First, a warmup question.
(i) If G(v) = In(v) what is G'(v)?
(ii) If H(v) = log10(v) what is H'(v)? (Hint; use the fact, given in
Section 4.2.3 of the coursebook, that log1o() =
In(a)
In(10)
%3D
(iii) If K(u, v) = log, =)
OK
what is
du
a(pH)
(b) Calculate
OB
a(pH)
(c) Calculate
(d) If B and A are both functions of time t (i.e., B = B(t) and A = A(t)),
d(pH)
calculate
dt

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