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What volume of 0.2 M NH4Cl solution should be added to 100ml of0.1 M NH4OH solution to produce a buffer solution of pH= 8.7? Given: pK of NH4OH= 4.7 ; log 2 = 0.3 b 4 (A)50ml (B) 100ml · (C)200ml (D)noneofthese?
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Problem Statement:
Calculate the volume of 0.2 M NH4Cl solution required to be added to 100ml of 0.1 M NH4OH solution to form a buffer solution of pH= 8.7. Given, pK of NH4OH= 4.7 and log 2 = 0.3.
Solution:
1. Write the chemical equation for the reaction between NH4Cl and NH4OH:
NH4Cl + NH4OH → NH4+ + Cl- + H2O
2. Write the equation for the dissociation of NH4OH:
NH4OH ↔ NH4+ + OH-
3. Write the equation for the dissociation constant of NH4OH:
pK = -log(Ka) = 4.7
Ka = 10^-4.7
4. Calculate the concentration of NH4+ and OH- ions in the 0.1 M NH4OH solution:
[NH4+] = [OH-] = (0.1 M) / 2 = 0.05 M
5. Calculate the pH of the 0.1 M NH4OH solution:
pH = pK + log([NH4+]/[NH4OH])
pH = 4.7 + log(0.05/0.05)
pH = 4.7
6. Calculate the pH of the buffer solution:
pH = pK + log([NH4Cl]/[NH4OH])
8.7 = 4.7 + log([NH4Cl]/0.05)
log([NH4Cl]/0.05) = 4
[NH4Cl]/0.05 = 10^4
[NH4Cl] = 500 mM
7. Calculate the volume of 0.2 M NH4Cl solution required:
M1V1 = M2V2
(0.2 M)(V1) = (500 mM)(100 ml + V1)
V1 = 200 ml
Answer: The volume of 0.2 M NH4Cl solution required to be added to 100ml of 0.1 M NH4OH solution to form a buffer solution of pH= 8.7 is 200 ml. Therefore, the correct answer is option (C).
Calculate the volume of 0.2 M NH4Cl solution required to be added to 100ml of 0.1 M NH4OH solution to form a buffer solution of pH= 8.7. Given, pK of NH4OH= 4.7 and log 2 = 0.3.
Solution:
1. Write the chemical equation for the reaction between NH4Cl and NH4OH:
NH4Cl + NH4OH → NH4+ + Cl- + H2O
2. Write the equation for the dissociation of NH4OH:
NH4OH ↔ NH4+ + OH-
3. Write the equation for the dissociation constant of NH4OH:
pK = -log(Ka) = 4.7
Ka = 10^-4.7
4. Calculate the concentration of NH4+ and OH- ions in the 0.1 M NH4OH solution:
[NH4+] = [OH-] = (0.1 M) / 2 = 0.05 M
5. Calculate the pH of the 0.1 M NH4OH solution:
pH = pK + log([NH4+]/[NH4OH])
pH = 4.7 + log(0.05/0.05)
pH = 4.7
6. Calculate the pH of the buffer solution:
pH = pK + log([NH4Cl]/[NH4OH])
8.7 = 4.7 + log([NH4Cl]/0.05)
log([NH4Cl]/0.05) = 4
[NH4Cl]/0.05 = 10^4
[NH4Cl] = 500 mM
7. Calculate the volume of 0.2 M NH4Cl solution required:
M1V1 = M2V2
(0.2 M)(V1) = (500 mM)(100 ml + V1)
V1 = 200 ml
Answer: The volume of 0.2 M NH4Cl solution required to be added to 100ml of 0.1 M NH4OH solution to form a buffer solution of pH= 8.7 is 200 ml. Therefore, the correct answer is option (C).
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What volume of 0.2 M NH4Cl solution should be added to 100ml of0.1 M NH4OH solution to produce a buffer solution of pH= 8.7? Given: pK of NH4OH= 4.7 ; log 2 = 0.3 b 4 (A)50ml (B) 100ml · (C)200ml (D)noneofthese?
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What volume of 0.2 M NH4Cl solution should be added to 100ml of0.1 M NH4OH solution to produce a buffer solution of pH= 8.7? Given: pK of NH4OH= 4.7 ; log 2 = 0.3 b 4 (A)50ml (B) 100ml · (C)200ml (D)noneofthese? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about What volume of 0.2 M NH4Cl solution should be added to 100ml of0.1 M NH4OH solution to produce a buffer solution of pH= 8.7? Given: pK of NH4OH= 4.7 ; log 2 = 0.3 b 4 (A)50ml (B) 100ml · (C)200ml (D)noneofthese? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What volume of 0.2 M NH4Cl solution should be added to 100ml of0.1 M NH4OH solution to produce a buffer solution of pH= 8.7? Given: pK of NH4OH= 4.7 ; log 2 = 0.3 b 4 (A)50ml (B) 100ml · (C)200ml (D)noneofthese?.
What volume of 0.2 M NH4Cl solution should be added to 100ml of0.1 M NH4OH solution to produce a buffer solution of pH= 8.7? Given: pK of NH4OH= 4.7 ; log 2 = 0.3 b 4 (A)50ml (B) 100ml · (C)200ml (D)noneofthese? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about What volume of 0.2 M NH4Cl solution should be added to 100ml of0.1 M NH4OH solution to produce a buffer solution of pH= 8.7? Given: pK of NH4OH= 4.7 ; log 2 = 0.3 b 4 (A)50ml (B) 100ml · (C)200ml (D)noneofthese? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What volume of 0.2 M NH4Cl solution should be added to 100ml of0.1 M NH4OH solution to produce a buffer solution of pH= 8.7? Given: pK of NH4OH= 4.7 ; log 2 = 0.3 b 4 (A)50ml (B) 100ml · (C)200ml (D)noneofthese?.
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