CHEMISTRY W/WRKBK AND SMARTWORK (LL)
CHEMISTRY W/WRKBK AND SMARTWORK (LL)
5th Edition
ISBN: 9780393693447
Author: Gilbert
Publisher: NORTON
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Chapter 15, Problem 15.59QP

(a)

Interpretation Introduction

Interpretation: The pKb value of morphine is given to be 5.79 . The pH of a 1.8×103M solution of morphine is to be calculated. Similarly, The pKa value of codeine is given to be 8.21 . The pH of a 2.7×104M solution of codeine is to be calculated

Concept introduction: The pH is the term used for expressing the extent of H+ in the solution. The pKa and pKb values are more helpful to determine the nature of the substances. These both terms related to acidic and the basic nature of any compound.

To determine: The pH value of a 1.8×103M solution of morphine.

(a)

Expert Solution
Check Mark

Answer to Problem 15.59QP

Solution

The pH value of 1.8×103M solution of morphine is 9.73_ .

Explanation of Solution

Explanation

Given

The concentration of morphine is 1.8×103M .

The pKb value of morphine is 5.79 .

The Kb of solution of morphine is calculated by the formula,

Kb=10pKb (1)

Substitute the value of pKb in equation (1).

Kb=105.79=1.6×106

The [OH] concentration is calculated by the formula,

[OH]=Kb+[base] (2)

Substitute the value of Kb and [base] in equation (2).

[OH]=(1.6×106M)×1.8×103M=5.36×105M

The concentration of [H3O+] is calculated by the formula,

[H3O+]=Kw[OH] (3)

The value of Kw is 1014 .

Substitute the value of Kw and [OH] in equation (3).

[H3O+]=10145.36×105=1.86×1010

The pH of solution is calculated by the formula,

pH=log[H3O+] (4)

Substitute the value of [H3O+] in equation 4.

pH=-log(1.86×1010)=9.73_

Therefore, the pH value of 1.8×103M solution of morphine is 9.73_ .

(b)

Interpretation Introduction

To determine: The pH of a 2.7×104M solution of codeine.

(b)

Expert Solution
Check Mark

Answer to Problem 15.59QP

Solution

The pH value of 2.7×104M solution of codeine is 9.32_ .

Explanation of Solution

Explanation

Given

The concentration of codeine is 2.7×104M .

The pKa value of codeine is 8.21 .

The Ka of solution of codeine is calculated by the formula,

Ka=10pKa (1)

Substitute the value of pKb in equation (1).

Ka=108.21=6.2×109

Thus, Kb of solution of codeine is calculated by the formula,

Kb=KwKa=1×10146.2×109=1.6×106

Thus, the value of Kb of codeine is 1.6×106 .

The [OH] concentration is calculated by the formula,

[OH]=Kb+[base] (2)

Substitute the value of Kb and [base] in equation (2).

[OH]=(1.6×106M)×2.7×104M=2.07×105M

The concentration of [H3O+] is calculated by the formula,

[H3O+]=Kw[OH] (3)

The value of Kw is 1014 .

Substitute the value of Kw and [OH] in equation (3).

[H3O+]=10142.07×105=4.83×1010

The pH of solution is calculated by the formula,

pH=log[H3O+] (4)

Substitute the value of [H3O+] in equation 4.

pH=-log(4.83×1010)=9.32_

Therefore, the pH value of 2.7×104M solution of codeine is 9.32_ .

Conclusion

a. The pH value of 1.8×103M solution of morphine is 9.73_ .

b. The pH value of 2.7×104M solution of codeine is 9.32_ .

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Chapter 15 Solutions

CHEMISTRY W/WRKBK AND SMARTWORK (LL)

Ch. 15.5 - Prob. 11PECh. 15.5 - Prob. 12PECh. 15.6 - Prob. 13PECh. 15.6 - Prob. 14PECh. 15.7 - Prob. 15PECh. 15.8 - Prob. 16PECh. 15.8 - Prob. 17PECh. 15.8 - Prob. 18PECh. 15 - Prob. 15.1VPCh. 15 - Prob. 15.2VPCh. 15 - Prob. 15.3VPCh. 15 - Prob. 15.4VPCh. 15 - Prob. 15.5VPCh. 15 - Prob. 15.6VPCh. 15 - Prob. 15.7VPCh. 15 - Prob. 15.8VPCh. 15 - Prob. 15.9VPCh. 15 - Prob. 15.10VPCh. 15 - Prob. 15.11QPCh. 15 - Prob. 15.12QPCh. 15 - Prob. 15.13QPCh. 15 - Prob. 15.14QPCh. 15 - Prob. 15.15QPCh. 15 - Prob. 15.16QPCh. 15 - Prob. 15.17QPCh. 15 - Prob. 15.18QPCh. 15 - Prob. 15.19QPCh. 15 - Prob. 15.20QPCh. 15 - Prob. 15.21QPCh. 15 - Prob. 15.22QPCh. 15 - Prob. 15.23QPCh. 15 - Prob. 15.24QPCh. 15 - Prob. 15.25QPCh. 15 - Prob. 15.26QPCh. 15 - Prob. 15.27QPCh. 15 - Prob. 15.28QPCh. 15 - Prob. 15.29QPCh. 15 - Prob. 15.30QPCh. 15 - Prob. 15.31QPCh. 15 - Prob. 15.32QPCh. 15 - Prob. 15.33QPCh. 15 - Prob. 15.34QPCh. 15 - Prob. 15.35QPCh. 15 - Prob. 15.36QPCh. 15 - Prob. 15.37QPCh. 15 - Prob. 15.38QPCh. 15 - Prob. 15.39QPCh. 15 - Prob. 15.40QPCh. 15 - Prob. 15.41QPCh. 15 - Prob. 15.42QPCh. 15 - Prob. 15.43QPCh. 15 - Prob. 15.44QPCh. 15 - Prob. 15.45QPCh. 15 - Prob. 15.46QPCh. 15 - Prob. 15.47QPCh. 15 - Prob. 15.48QPCh. 15 - Prob. 15.49QPCh. 15 - Prob. 15.50QPCh. 15 - Prob. 15.51QPCh. 15 - Prob. 15.52QPCh. 15 - Prob. 15.53QPCh. 15 - Prob. 15.54QPCh. 15 - Prob. 15.55QPCh. 15 - Prob. 15.56QPCh. 15 - Prob. 15.57QPCh. 15 - Prob. 15.58QPCh. 15 - Prob. 15.59QPCh. 15 - Prob. 15.60QPCh. 15 - Prob. 15.61QPCh. 15 - Prob. 15.62QPCh. 15 - Prob. 15.63QPCh. 15 - Prob. 15.64QPCh. 15 - Prob. 15.65QPCh. 15 - Prob. 15.66QPCh. 15 - Prob. 15.67QPCh. 15 - Prob. 15.68QPCh. 15 - Prob. 15.69QPCh. 15 - Prob. 15.70QPCh. 15 - Prob. 15.71QPCh. 15 - Prob. 15.72QPCh. 15 - Prob. 15.73QPCh. 15 - Prob. 15.74QPCh. 15 - Prob. 15.75QPCh. 15 - Prob. 15.76QPCh. 15 - Prob. 15.77QPCh. 15 - Prob. 15.78QPCh. 15 - Prob. 15.79QPCh. 15 - Prob. 15.80QPCh. 15 - Prob. 15.81QPCh. 15 - Prob. 15.82QPCh. 15 - Prob. 15.83QPCh. 15 - Prob. 15.84QPCh. 15 - Prob. 15.85QPCh. 15 - Prob. 15.86QPCh. 15 - Prob. 15.87APCh. 15 - Prob. 15.88APCh. 15 - Prob. 15.89APCh. 15 - Prob. 15.90APCh. 15 - Prob. 15.91APCh. 15 - Prob. 15.92APCh. 15 - Prob. 15.93APCh. 15 - Prob. 15.94APCh. 15 - Prob. 15.95APCh. 15 - Prob. 15.96APCh. 15 - Prob. 15.97APCh. 15 - Prob. 15.98APCh. 15 - Prob. 15.99APCh. 15 - Prob. 15.100AP
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