SlideShare a Scribd company logo
1 of 27
INTERCONVERSION OF
CONCENTRATION UNITS SOLUTIONS
UNITS OF CONCENTRATION
 A solution is a homogeneous mixture of one
substance dissolved in another substance.
 Concentration is a ratio of the amount of
solute to the amount of solvent.
MOLARITY
 It is the number of moles of solute dissolved
per dm3 the solution.
 Molarity (M) = Number of moles of solute
Volume of solution (dm3)
MOLALITY
 It is the number of moles of solute in 1000g
of the solvent.
 Molality (m) = Number of moles of solute
Mass of solvent(kg)
PARTS PER MILLION (PPM)
 It is defined as the number of parts of solute per
million parts of the solution.
 Parts per million (ppm) = Mass of solute x106
Mass of solution
MOLE FRACTION
 The mole fraction of any component in a
mixture is the ratio of the number of moles of it
to the total number of moles of all the
components present.
 Mole fraction of any component can never be
greater then 1 and sum of all mole fractions is
equal to 1.
 xa = na
na + nb + nc
NORMALITY
 It is the equivalent weight of solute dissolved per liter
of solution.
 Normality = Equivalent weight of solute
1 liter of solution
 Equ.weight of solute = Molecular weight of solute
No. of replicable H+,OH- ions
PERCENTAGE COMPOSITION
I. Percentage Weight/Weight: It is the weight of
solute dissolved per 100 parts by weight of
solution.
II. Percentage Weight/Volume: It is the weight of
solute dissolved per 100 parts by volume of
solution.
III. Percentage Volume/Weight: It is the number of
cm3 solute dissolved per 100 g of the solution.
IV. Percentage Volume/Volume: It is the volume of
solute dissolved per 100 cm3 of the solution.
DILUTION OF THE SOLUTIONS
 Often we are given with solutions which are
concentrated more then needed so we have
to dilute those solutions.
 To determine how to dilute the stock
solution, use the formula:
C1V1 = C2V2
Where,
C1 = Concentration of stock
C2 = Concentration of diluted solution
V1 = Volume needed of stock
V2 = Final volume of dilution
CONVERSION FROM MOLARITY TO MOLALITY
 For converting a given concentration unit
from molarity to molality first assume that
you have 1 liter of solution.
 Find the mass of solution by multiplying
assumed volume with given density.
 Calculate grams of solute by given molarity
and find mass of solvent by difference of
mass of solution and mass of solute.
 Use values in molality formula to calculate
molality.
Problem 1: What is the molality of 20M H2SO4 given
that solution has a density of 2.65 g/mL?
 Volume of solution = 1 L = 1000 mL
Mass of solution = 1000 mL x 2.65 g/mL
= 2650g
20M solution contains H2SO4 = 20 x 98.08
= 1961.6g
Mass of solvent = 2650g – 1961.6g
= 688.4g
Molality = 20 moles = 29.0529 m H2SO4
0.6884 kg
CONVERSION FROM MOLALITY TO MOLARITY
 For converting a given concentration unit from
molality to molarity first assume that mass of
solvent is 1 kg.
 Find the mass of solute by given molality.
 Find mass of solution by adding mass of solute and
mass of solvent.
 Calculate the volume of solution by multiplying
given density with calculated mass of solution.
 Use calculated values in molarity formula for
calculation of molarity.
Problem 2: What is the molarity of 21.4 m HF
given that the solution has a density of 1.101
g/mL?
 Mass of solvent = 1 kg
Mass of HF (solute) = 21.4 x 20.01
= 428.21 g
Mass of solution = 1000g + 428.21 g
= 1428.21 g
Volume of solution = 1428.21g / 1.101g/mL
= 1297.1935 mL = 1.297 L
Molarity = 21.4 moles / 1.29719L
= 16.5 M HF
CONVERSION FROM PPM TO MOLARITY
 First of all find mass of solute from given ppm.
Taking weight of solution 1 L.
 Calculate no. of moles of solute by diving mass by
molecular mass.
 Use calculated values in molarity formula to find
molarity.
Problem 3: What is molarity of a dye
concentration given molar mass of dye 327
g/mol and of 2 ppm?
2 ppm solution = 2 mg/L
Mass of solute = 2 mg
Mass of solution = 1000 g
No. of moles of solute = 2 x 10-3g
327 g/mol
= 6.116 x 10-6 mol
Molarity = 6.116 x 10-6 mol/L or 6.116 x 10-6 M
CONVERSION FROM MOLARITY TO PPM
 Find mass of solute by given molarity.
 As is case of molarity , volume of solution is 1 L or
in case of mass 1000g.
 Put the calculated values in the formula of ppm to
find ppm concentration of given substance.
Problem 4: What is the ppm concentration of
calcium ion in 0.01M CaCO3?
 1 M CaCO3 contains Ca = 40 g
0.01 M CaCO3 contains Ca = 0.4 g
Mass of solution = 1000g
parts per million = 0.4 x 106
1000
= 400 ppm
CONVERSION BETWEEN MOLARITY AND PPM
 In general,
Normality = n-factor x Molarity
 Similarly:
Molarity = Normality / n-factor
Where n-factor means H+,OH- ions replaced by 1
mole of acid or base in a reaction.
Problem 5: What is the molarity of 1N H2SO4
solution?
 In this case n- factor = 2 (since there are 2 H+
ions)
Molarity = ½
= 0.5 M solution
Problem 6: What is the normality of A solution of
H2SO4 having a molarity of 0.100M?
 N-factor = 2 ( again 2 H+ ions replicable)
Nomality = 2 x 0.100
= 0.200 N solution
CONVERSION FROM MOLE FRACTION TO
MOLARITY
 Find out moles of solute and solvent by subtracting
given mole fraction from 1.
 Find mass of solute and mass of solvent by
multiplying moles with molar masses.
 Find mass of solution by adding mass of solute and
solvent.
 Calculate volume of solution by dividing its mass by
density.
 Use calculated values in molarity formula to
calculate it.
Problem 7: The mole fraction of an aqueous
solution of potassium oxide is 0.312. Calculate
the molarity (in mol/L) of the potassium oxide
solution, if the density of the solution is 1.28 g
mL-1.
 moles K2O = 0.312 mol
moles water = 1 - 0.312 = 0.688 mol
mass of water = 0.688mol x 18.02 g/mol
= 12.4 g
mass of K2O = 0.312mol x 94.199 g/mol
= 29.4 g
mass of solution = 41.8 g
volume solution = 41.8 / 1.28=32.7 mL
= 0.0327 L
Molarity = 0.312 mol / 0.0327 L = 9.55 mol/L
Or 9.55 m
CONVERSION FROM MOLARITY TO MOLE
FRACTION
 As in case of molarity , volume of solution is 1000ml
or in case of mass 1000g.
 Calculate moles of solvent, as in case of 1000g
water no. of moles are 55.5 moles.
 Find mole fraction of desired substance by using
mole fraction formula.
Problem 8: The molarity of HCl in water is 0.18.
What is its mole fraction?
 Moles of HCl in 1000 ml of water is 0.18.
Moles of water = 1000g
18g/mol
= 55.55 mol
Mole fraction = 0.18
0.18 + 55.55
= 0.0032
CONVERSION FROM % BY MASS TO
MOLARITY AND MOLALITY
 Find mass of solute and mass of solvent from given
percent.
 Find molar mass of solute and calculate its no. of
moles.
 Calculate volume of solute by dividing mass of
solution by given density.
 Use calculated values in molarity formula to
calculate it.
 In case of molality instead of solution, divide no. of
moles of solute by kg weight of solvent.
Problem 9: What is the molarity of the solution
that is 5.50% by mass oxalic acid
(C2H2O4), and has a density of 1.0224g/mL?
 Mass of C2H2O4 = 5.50g
Molar mass C2H2O4 = 90.36 g/mol
No. of moles of C2H2O4 = 5.50g / 90.36 g/mol
= 0.060867 moles
Volume of solution = 100g / 1.0224 g/mL
= 97.8090 mL = 0.0978L
Molarity = 0.060867mol / 0.0978L
= 0.6223M
IN THE SAME WAY, IF YOU ARE GIVEN
1 UNIT OF CONCENTRATION YOU CAN
CONVERT IT INTO REQUIRED UNIT BY
ABOVE METHODS.
Solution

More Related Content

What's hot

4.1 concentration of solutions
4.1 concentration of solutions4.1 concentration of solutions
4.1 concentration of solutions
Martin Brown
 

What's hot (20)

Preparation of solutions
Preparation of solutionsPreparation of solutions
Preparation of solutions
 
Colligative Properties
Colligative PropertiesColligative Properties
Colligative Properties
 
Methods of expressing concentration
Methods of expressing concentrationMethods of expressing concentration
Methods of expressing concentration
 
Preparation of solutions
Preparation of solutionsPreparation of solutions
Preparation of solutions
 
Molarity ,Molality ,Normality
Molarity ,Molality ,NormalityMolarity ,Molality ,Normality
Molarity ,Molality ,Normality
 
Report 1 prepare and standardize a 0.1 M NaOH solutions
Report 1 prepare and standardize a 0.1 M NaOH solutionsReport 1 prepare and standardize a 0.1 M NaOH solutions
Report 1 prepare and standardize a 0.1 M NaOH solutions
 
04. basic concepts session 4
04. basic concepts session 404. basic concepts session 4
04. basic concepts session 4
 
analytical chemistry: introduction
analytical chemistry: introductionanalytical chemistry: introduction
analytical chemistry: introduction
 
Concentration of solution
Concentration of solutionConcentration of solution
Concentration of solution
 
Solutions preparation
Solutions preparationSolutions preparation
Solutions preparation
 
Titration
TitrationTitration
Titration
 
Preparation of standard, normal and molar solutions
Preparation of standard, normal and molar solutionsPreparation of standard, normal and molar solutions
Preparation of standard, normal and molar solutions
 
Methods of expressing concentration
Methods of expressing concentrationMethods of expressing concentration
Methods of expressing concentration
 
Acid base titration
Acid base titrationAcid base titration
Acid base titration
 
Solution
SolutionSolution
Solution
 
4.1 concentration of solutions
4.1 concentration of solutions4.1 concentration of solutions
4.1 concentration of solutions
 
MOLARITY
MOLARITYMOLARITY
MOLARITY
 
Laboratory solution preparation by Farhang Hamid
Laboratory solution preparation by Farhang HamidLaboratory solution preparation by Farhang Hamid
Laboratory solution preparation by Farhang Hamid
 
Solution concentration
Solution concentrationSolution concentration
Solution concentration
 
Colligative properties
Colligative propertiesColligative properties
Colligative properties
 

Similar to Solution

Stoichiometric-calculations part 1.ppt
Stoichiometric-calculations part 1.pptStoichiometric-calculations part 1.ppt
Stoichiometric-calculations part 1.ppt
AhmadHashlamon
 
15. SOLUTIONS ( Samerah C. Macabaas).pptx
15. SOLUTIONS ( Samerah C. Macabaas).pptx15. SOLUTIONS ( Samerah C. Macabaas).pptx
15. SOLUTIONS ( Samerah C. Macabaas).pptx
JohanyMohammad
 
SOLUTION PPT CHAPTER 2(DONE BY AMAN RAJ CLASS XII-'A'.pptx
SOLUTION PPT CHAPTER 2(DONE BY AMAN RAJ CLASS XII-'A'.pptxSOLUTION PPT CHAPTER 2(DONE BY AMAN RAJ CLASS XII-'A'.pptx
SOLUTION PPT CHAPTER 2(DONE BY AMAN RAJ CLASS XII-'A'.pptx
Sonam971503
 
Chapter 16 Solutions ppt.pptx
Chapter 16 Solutions ppt.pptxChapter 16 Solutions ppt.pptx
Chapter 16 Solutions ppt.pptx
Sonam971503
 

Similar to Solution (20)

Jehangir
JehangirJehangir
Jehangir
 
Solutin in chemistry
Solutin in chemistrySolutin in chemistry
Solutin in chemistry
 
Molarity_Dilution_Aleigha_Benoit.ppt
Molarity_Dilution_Aleigha_Benoit.pptMolarity_Dilution_Aleigha_Benoit.ppt
Molarity_Dilution_Aleigha_Benoit.ppt
 
Molarity Dilution.ppt
Molarity Dilution.pptMolarity Dilution.ppt
Molarity Dilution.ppt
 
Stoichiometric-calculations part 1.ppt
Stoichiometric-calculations part 1.pptStoichiometric-calculations part 1.ppt
Stoichiometric-calculations part 1.ppt
 
Quantitative Expressions of the Concentration of Solutions
Quantitative Expressions of the Concentration of SolutionsQuantitative Expressions of the Concentration of Solutions
Quantitative Expressions of the Concentration of Solutions
 
Class 11 sbcc part XI
Class 11 sbcc part XIClass 11 sbcc part XI
Class 11 sbcc part XI
 
Conc by molarity measurment hindi
Conc by molarity measurment hindiConc by molarity measurment hindi
Conc by molarity measurment hindi
 
15. SOLUTIONS ( Samerah C. Macabaas).pptx
15. SOLUTIONS ( Samerah C. Macabaas).pptx15. SOLUTIONS ( Samerah C. Macabaas).pptx
15. SOLUTIONS ( Samerah C. Macabaas).pptx
 
Solutions
SolutionsSolutions
Solutions
 
Lecture 16.2- Concentration
Lecture 16.2- ConcentrationLecture 16.2- Concentration
Lecture 16.2- Concentration
 
VOLUMETRIC ANALYSIS.pptx
VOLUMETRIC ANALYSIS.pptxVOLUMETRIC ANALYSIS.pptx
VOLUMETRIC ANALYSIS.pptx
 
Solution (Chemistry) MANIK
Solution (Chemistry) MANIK Solution (Chemistry) MANIK
Solution (Chemistry) MANIK
 
Concentration terms chemistry class 12 note
Concentration terms chemistry class 12 noteConcentration terms chemistry class 12 note
Concentration terms chemistry class 12 note
 
Concentration Expression of Solution| L 07|PhysicalPharmacyLectureSeries
Concentration Expression of Solution| L 07|PhysicalPharmacyLectureSeriesConcentration Expression of Solution| L 07|PhysicalPharmacyLectureSeries
Concentration Expression of Solution| L 07|PhysicalPharmacyLectureSeries
 
General-Chemistry-2_Solution (1).pptx
General-Chemistry-2_Solution (1).pptxGeneral-Chemistry-2_Solution (1).pptx
General-Chemistry-2_Solution (1).pptx
 
13.2 molarity
13.2 molarity13.2 molarity
13.2 molarity
 
SOLUTION PPT CHAPTER 2(DONE BY AMAN RAJ CLASS XII-'A'.pptx
SOLUTION PPT CHAPTER 2(DONE BY AMAN RAJ CLASS XII-'A'.pptxSOLUTION PPT CHAPTER 2(DONE BY AMAN RAJ CLASS XII-'A'.pptx
SOLUTION PPT CHAPTER 2(DONE BY AMAN RAJ CLASS XII-'A'.pptx
 
Chapter 16 Solutions ppt.pptx
Chapter 16 Solutions ppt.pptxChapter 16 Solutions ppt.pptx
Chapter 16 Solutions ppt.pptx
 
Mole concept
Mole conceptMole concept
Mole concept
 

More from Usman Shah

More from Usman Shah (20)

Pneumatic and hydraulic conveying
Pneumatic and hydraulic conveyingPneumatic and hydraulic conveying
Pneumatic and hydraulic conveying
 
Pelletization and granulation
Pelletization and granulationPelletization and granulation
Pelletization and granulation
 
Particulate technology (electrostatic precipitator)
Particulate technology (electrostatic precipitator)Particulate technology (electrostatic precipitator)
Particulate technology (electrostatic precipitator)
 
Particle size distribution
Particle size distributionParticle size distribution
Particle size distribution
 
Flow pattern of fluids
Flow pattern of fluidsFlow pattern of fluids
Flow pattern of fluids
 
Cyclone separator
Cyclone separatorCyclone separator
Cyclone separator
 
Belt conveyors and elevators
Belt conveyors and elevatorsBelt conveyors and elevators
Belt conveyors and elevators
 
Assignment cre lab
Assignment cre labAssignment cre lab
Assignment cre lab
 
Group 2
Group 2Group 2
Group 2
 
Group 1
Group 1Group 1
Group 1
 
Jamshaid ppt
Jamshaid pptJamshaid ppt
Jamshaid ppt
 
Intro to reactor design
Intro to reactor designIntro to reactor design
Intro to reactor design
 
Differential method of analysis of data
Differential method of analysis of dataDifferential method of analysis of data
Differential method of analysis of data
 
Difference between batch,mixed flow & plug-flow reactor
Difference between  batch,mixed flow & plug-flow reactorDifference between  batch,mixed flow & plug-flow reactor
Difference between batch,mixed flow & plug-flow reactor
 
Cre24
Cre24Cre24
Cre24
 
Cre ppt
Cre pptCre ppt
Cre ppt
 
Cre ppt saud
Cre ppt saudCre ppt saud
Cre ppt saud
 
Catalyst activation
Catalyst activationCatalyst activation
Catalyst activation
 
Batch reactor designing
Batch reactor designingBatch reactor designing
Batch reactor designing
 
What is cre
What is creWhat is cre
What is cre
 

Recently uploaded

XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
ssuser89054b
 
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
HenryBriggs2
 
notes on Evolution Of Analytic Scalability.ppt
notes on Evolution Of Analytic Scalability.pptnotes on Evolution Of Analytic Scalability.ppt
notes on Evolution Of Analytic Scalability.ppt
MsecMca
 

Recently uploaded (20)

XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
 
Generative AI or GenAI technology based PPT
Generative AI or GenAI technology based PPTGenerative AI or GenAI technology based PPT
Generative AI or GenAI technology based PPT
 
Bridge Jacking Design Sample Calculation.pptx
Bridge Jacking Design Sample Calculation.pptxBridge Jacking Design Sample Calculation.pptx
Bridge Jacking Design Sample Calculation.pptx
 
kiln thermal load.pptx kiln tgermal load
kiln thermal load.pptx kiln tgermal loadkiln thermal load.pptx kiln tgermal load
kiln thermal load.pptx kiln tgermal load
 
Tamil Call Girls Bhayandar WhatsApp +91-9930687706, Best Service
Tamil Call Girls Bhayandar WhatsApp +91-9930687706, Best ServiceTamil Call Girls Bhayandar WhatsApp +91-9930687706, Best Service
Tamil Call Girls Bhayandar WhatsApp +91-9930687706, Best Service
 
A CASE STUDY ON CERAMIC INDUSTRY OF BANGLADESH.pptx
A CASE STUDY ON CERAMIC INDUSTRY OF BANGLADESH.pptxA CASE STUDY ON CERAMIC INDUSTRY OF BANGLADESH.pptx
A CASE STUDY ON CERAMIC INDUSTRY OF BANGLADESH.pptx
 
HAND TOOLS USED AT ELECTRONICS WORK PRESENTED BY KOUSTAV SARKAR
HAND TOOLS USED AT ELECTRONICS WORK PRESENTED BY KOUSTAV SARKARHAND TOOLS USED AT ELECTRONICS WORK PRESENTED BY KOUSTAV SARKAR
HAND TOOLS USED AT ELECTRONICS WORK PRESENTED BY KOUSTAV SARKAR
 
Online food ordering system project report.pdf
Online food ordering system project report.pdfOnline food ordering system project report.pdf
Online food ordering system project report.pdf
 
School management system project Report.pdf
School management system project Report.pdfSchool management system project Report.pdf
School management system project Report.pdf
 
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
 
AIRCANVAS[1].pdf mini project for btech students
AIRCANVAS[1].pdf mini project for btech studentsAIRCANVAS[1].pdf mini project for btech students
AIRCANVAS[1].pdf mini project for btech students
 
Hazard Identification (HAZID) vs. Hazard and Operability (HAZOP): A Comparati...
Hazard Identification (HAZID) vs. Hazard and Operability (HAZOP): A Comparati...Hazard Identification (HAZID) vs. Hazard and Operability (HAZOP): A Comparati...
Hazard Identification (HAZID) vs. Hazard and Operability (HAZOP): A Comparati...
 
Thermal Engineering -unit - III & IV.ppt
Thermal Engineering -unit - III & IV.pptThermal Engineering -unit - III & IV.ppt
Thermal Engineering -unit - III & IV.ppt
 
data_management_and _data_science_cheat_sheet.pdf
data_management_and _data_science_cheat_sheet.pdfdata_management_and _data_science_cheat_sheet.pdf
data_management_and _data_science_cheat_sheet.pdf
 
Design For Accessibility: Getting it right from the start
Design For Accessibility: Getting it right from the startDesign For Accessibility: Getting it right from the start
Design For Accessibility: Getting it right from the start
 
Thermal Engineering Unit - I & II . ppt
Thermal Engineering  Unit - I & II . pptThermal Engineering  Unit - I & II . ppt
Thermal Engineering Unit - I & II . ppt
 
Double Revolving field theory-how the rotor develops torque
Double Revolving field theory-how the rotor develops torqueDouble Revolving field theory-how the rotor develops torque
Double Revolving field theory-how the rotor develops torque
 
Engineering Drawing focus on projection of planes
Engineering Drawing focus on projection of planesEngineering Drawing focus on projection of planes
Engineering Drawing focus on projection of planes
 
S1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptx
S1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptxS1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptx
S1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptx
 
notes on Evolution Of Analytic Scalability.ppt
notes on Evolution Of Analytic Scalability.pptnotes on Evolution Of Analytic Scalability.ppt
notes on Evolution Of Analytic Scalability.ppt
 

Solution

  • 2. UNITS OF CONCENTRATION  A solution is a homogeneous mixture of one substance dissolved in another substance.  Concentration is a ratio of the amount of solute to the amount of solvent.
  • 3. MOLARITY  It is the number of moles of solute dissolved per dm3 the solution.  Molarity (M) = Number of moles of solute Volume of solution (dm3)
  • 4. MOLALITY  It is the number of moles of solute in 1000g of the solvent.  Molality (m) = Number of moles of solute Mass of solvent(kg)
  • 5. PARTS PER MILLION (PPM)  It is defined as the number of parts of solute per million parts of the solution.  Parts per million (ppm) = Mass of solute x106 Mass of solution
  • 6. MOLE FRACTION  The mole fraction of any component in a mixture is the ratio of the number of moles of it to the total number of moles of all the components present.  Mole fraction of any component can never be greater then 1 and sum of all mole fractions is equal to 1.  xa = na na + nb + nc
  • 7. NORMALITY  It is the equivalent weight of solute dissolved per liter of solution.  Normality = Equivalent weight of solute 1 liter of solution  Equ.weight of solute = Molecular weight of solute No. of replicable H+,OH- ions
  • 8. PERCENTAGE COMPOSITION I. Percentage Weight/Weight: It is the weight of solute dissolved per 100 parts by weight of solution. II. Percentage Weight/Volume: It is the weight of solute dissolved per 100 parts by volume of solution. III. Percentage Volume/Weight: It is the number of cm3 solute dissolved per 100 g of the solution. IV. Percentage Volume/Volume: It is the volume of solute dissolved per 100 cm3 of the solution.
  • 9. DILUTION OF THE SOLUTIONS  Often we are given with solutions which are concentrated more then needed so we have to dilute those solutions.  To determine how to dilute the stock solution, use the formula: C1V1 = C2V2 Where, C1 = Concentration of stock C2 = Concentration of diluted solution V1 = Volume needed of stock V2 = Final volume of dilution
  • 10. CONVERSION FROM MOLARITY TO MOLALITY  For converting a given concentration unit from molarity to molality first assume that you have 1 liter of solution.  Find the mass of solution by multiplying assumed volume with given density.  Calculate grams of solute by given molarity and find mass of solvent by difference of mass of solution and mass of solute.  Use values in molality formula to calculate molality.
  • 11. Problem 1: What is the molality of 20M H2SO4 given that solution has a density of 2.65 g/mL?  Volume of solution = 1 L = 1000 mL Mass of solution = 1000 mL x 2.65 g/mL = 2650g 20M solution contains H2SO4 = 20 x 98.08 = 1961.6g Mass of solvent = 2650g – 1961.6g = 688.4g Molality = 20 moles = 29.0529 m H2SO4 0.6884 kg
  • 12. CONVERSION FROM MOLALITY TO MOLARITY  For converting a given concentration unit from molality to molarity first assume that mass of solvent is 1 kg.  Find the mass of solute by given molality.  Find mass of solution by adding mass of solute and mass of solvent.  Calculate the volume of solution by multiplying given density with calculated mass of solution.  Use calculated values in molarity formula for calculation of molarity.
  • 13. Problem 2: What is the molarity of 21.4 m HF given that the solution has a density of 1.101 g/mL?  Mass of solvent = 1 kg Mass of HF (solute) = 21.4 x 20.01 = 428.21 g Mass of solution = 1000g + 428.21 g = 1428.21 g Volume of solution = 1428.21g / 1.101g/mL = 1297.1935 mL = 1.297 L Molarity = 21.4 moles / 1.29719L = 16.5 M HF
  • 14. CONVERSION FROM PPM TO MOLARITY  First of all find mass of solute from given ppm. Taking weight of solution 1 L.  Calculate no. of moles of solute by diving mass by molecular mass.  Use calculated values in molarity formula to find molarity.
  • 15. Problem 3: What is molarity of a dye concentration given molar mass of dye 327 g/mol and of 2 ppm? 2 ppm solution = 2 mg/L Mass of solute = 2 mg Mass of solution = 1000 g No. of moles of solute = 2 x 10-3g 327 g/mol = 6.116 x 10-6 mol Molarity = 6.116 x 10-6 mol/L or 6.116 x 10-6 M
  • 16. CONVERSION FROM MOLARITY TO PPM  Find mass of solute by given molarity.  As is case of molarity , volume of solution is 1 L or in case of mass 1000g.  Put the calculated values in the formula of ppm to find ppm concentration of given substance.
  • 17. Problem 4: What is the ppm concentration of calcium ion in 0.01M CaCO3?  1 M CaCO3 contains Ca = 40 g 0.01 M CaCO3 contains Ca = 0.4 g Mass of solution = 1000g parts per million = 0.4 x 106 1000 = 400 ppm
  • 18. CONVERSION BETWEEN MOLARITY AND PPM  In general, Normality = n-factor x Molarity  Similarly: Molarity = Normality / n-factor Where n-factor means H+,OH- ions replaced by 1 mole of acid or base in a reaction.
  • 19. Problem 5: What is the molarity of 1N H2SO4 solution?  In this case n- factor = 2 (since there are 2 H+ ions) Molarity = ½ = 0.5 M solution Problem 6: What is the normality of A solution of H2SO4 having a molarity of 0.100M?  N-factor = 2 ( again 2 H+ ions replicable) Nomality = 2 x 0.100 = 0.200 N solution
  • 20. CONVERSION FROM MOLE FRACTION TO MOLARITY  Find out moles of solute and solvent by subtracting given mole fraction from 1.  Find mass of solute and mass of solvent by multiplying moles with molar masses.  Find mass of solution by adding mass of solute and solvent.  Calculate volume of solution by dividing its mass by density.  Use calculated values in molarity formula to calculate it.
  • 21. Problem 7: The mole fraction of an aqueous solution of potassium oxide is 0.312. Calculate the molarity (in mol/L) of the potassium oxide solution, if the density of the solution is 1.28 g mL-1.  moles K2O = 0.312 mol moles water = 1 - 0.312 = 0.688 mol mass of water = 0.688mol x 18.02 g/mol = 12.4 g mass of K2O = 0.312mol x 94.199 g/mol = 29.4 g mass of solution = 41.8 g volume solution = 41.8 / 1.28=32.7 mL = 0.0327 L Molarity = 0.312 mol / 0.0327 L = 9.55 mol/L Or 9.55 m
  • 22. CONVERSION FROM MOLARITY TO MOLE FRACTION  As in case of molarity , volume of solution is 1000ml or in case of mass 1000g.  Calculate moles of solvent, as in case of 1000g water no. of moles are 55.5 moles.  Find mole fraction of desired substance by using mole fraction formula.
  • 23. Problem 8: The molarity of HCl in water is 0.18. What is its mole fraction?  Moles of HCl in 1000 ml of water is 0.18. Moles of water = 1000g 18g/mol = 55.55 mol Mole fraction = 0.18 0.18 + 55.55 = 0.0032
  • 24. CONVERSION FROM % BY MASS TO MOLARITY AND MOLALITY  Find mass of solute and mass of solvent from given percent.  Find molar mass of solute and calculate its no. of moles.  Calculate volume of solute by dividing mass of solution by given density.  Use calculated values in molarity formula to calculate it.  In case of molality instead of solution, divide no. of moles of solute by kg weight of solvent.
  • 25. Problem 9: What is the molarity of the solution that is 5.50% by mass oxalic acid (C2H2O4), and has a density of 1.0224g/mL?  Mass of C2H2O4 = 5.50g Molar mass C2H2O4 = 90.36 g/mol No. of moles of C2H2O4 = 5.50g / 90.36 g/mol = 0.060867 moles Volume of solution = 100g / 1.0224 g/mL = 97.8090 mL = 0.0978L Molarity = 0.060867mol / 0.0978L = 0.6223M
  • 26. IN THE SAME WAY, IF YOU ARE GIVEN 1 UNIT OF CONCENTRATION YOU CAN CONVERT IT INTO REQUIRED UNIT BY ABOVE METHODS.