Molar concentration - wikipedia Molar concentration `` Molarity '' redirects here. It is not to be confused with Molality or Morality. For the comic strip, see Molarity ( comic strip ). Molar concentration ( also called molarity, amount concentration or substance concentration ) is a measure of the concentration of a chemical species, in particular of a solute in a solution, in terms of amount of substance per unit volume of solution. In chemistry, the most commonly used unit for molarity is the number of moles per litre, having the unit symbol mol / L. A solution with a concentration of 1 mol / L is said to be 1 molar, commonly designated as 1 M. Contents 1 Definition 2 Units 3 Related quantities 3.1 Number concentration 3.2 Mass concentration 3.3 Mole fraction 3.4 Mass fraction 3.5 Molality 4 Properties 4.1 Sum of molar concentrations -- normalizing relations 4.2 Sum of products molar concentrations - partial molar volumes 4.3 Dependence on volume 5 Spatial variation and diffusion 6 Examples 7 Formal concentration 8 References 9 External links Definition Molar concentration or molarity is most commonly expressed in units of moles of solute per litre of solution. For use in broader applications, it is defined as amount of substance of solute per unit volume of solution, or per unit volume available to the species, represented by lowercase c : c = n V = N N A V = C N A. ( displaystyle c = ( \frac ( n ) ( V ) ) = ( \frac ( N ) ( N_ ( \rm ( A ) ) , V ) ) = ( \frac ( C ) ( N_ ( \rm ( A ) ) ) ). ) Here, n is the amount of the solute in moles, N is the number of molecules present in volume V ( in litres ), the ratio N / V is the number concentration C, and N is the Avogadro constant, approximately 6.022 × 10 mol. In thermodynamics the use of molar concentration is often not convenient because the volume of most solutions slightly depends on temperature due to thermal expansion. This problem is usually resolved by introducing temperature correction factors, or by using a temperature - independent measure of concentration such as molality. The reciprocal quantity represents the dilution ( volume ) which can appear in Ostwald 's law of dilution. Units In the International System of Units ( SI ) the base unit for molar concentration is mol / m. However, this is impractical for most laboratory purposes and most chemical literature traditionally uses mol / dm, which is the same as mol / L. These traditional units are often denoted by the letter M, optionally preceded by an SI prefix as needed to denote sub-multiples, for example : mol / m = 10 mol / dm = 10 mol / L = 10 M = 1 mmol / L = 1 mM. The adjectives `` millimolar '' and `` micromolar '' refer to mM and μM ( 10 mol / L and 10 mol / L ), respectively. Name Abbreviation Concentration Concentration ( SI unit ) millimolar mM 10 mol / L 10 mol / m micromolar μM 10 mol / L 10 mol / m nanomolar nM 10 mol / L 10 mol / m picomolar pM 10 mol / L 10 mol / m femtomolar fM 10 mol / L 10 mol / m attomolar aM 10 mol / L 10 mol / m zeptomolar zM 10 mol / L 10 mol / m yoctomolar yM 10 mol / L ( 1 particle per 1.6 L ) 10 mol / m Related quantities Number concentration The conversion to number concentration C i ( displaystyle C_ ( i ) ) is given by : C i = c i ⋅ N A ( displaystyle C_ ( i ) = c_ ( i ) cdot N_ ( \rm ( A ) ) ) where N A ( displaystyle N_ ( \rm ( A ) ) ) is the Avogadro constant. Mass concentration The conversion to mass concentration ρ i ( displaystyle \rho _ ( i ) ) is given by : ρ i = c i ⋅ M i ( displaystyle \rho _ ( i ) = c_ ( i ) cdot M_ ( i ) ) where M i ( displaystyle M_ ( i ) ) is the molar mass of constituent i ( displaystyle i ). Mole fraction The conversion to mole fraction x i ( displaystyle x_ ( i ) ) is given by : x i = c i ⋅ M ρ = c i ⋅ ∑ j x j M j ρ ( displaystyle x_ ( i ) = c_ ( i ) cdot ( \frac ( M ) ( \rho ) ) = c_ ( i ) cdot ( \frac ( sum _ ( j ) x_ ( j ) M_ ( j ) ) ( \rho ) ) ) x i = c i ⋅ ∑ j x j M j ρ − c i M i ( displaystyle x_ ( i ) = c_ ( i ) cdot ( \frac ( sum _ ( j ) x_ ( j ) M_ ( j ) ) ( \rho - c_ ( i ) M_ ( i ) ) ) ) where M ( displaystyle M ) is the average molar mass of the solution, ρ ( displaystyle \rho ) is the density of the solution and j is the index of other solutes. A simpler relation can be obtained by considering the total molar concentration namely the sum of molar concentrations of all the components of the mixture. x i = c i c = c i ∑ c i ( displaystyle x_ ( i ) = ( \frac ( c_ ( i ) ) ( c ) ) = ( \frac ( c_ ( i ) ) ( sum c_ ( i ) ) ) ) Mass fraction The conversion to mass fraction w i ( displaystyle w_ ( i ) ) is given by : w i = c i ⋅ M i ρ ( displaystyle w_ ( i ) = c_ ( i ) cdot ( \frac ( M_ ( i ) ) ( \rho ) ) ) Molality The conversion to molality ( for binary mixtures ) is : b 2 = c 2 ρ − c 2 ⋅ M 2 ( displaystyle b_ ( 2 ) = ( \frac ( c_ ( 2 ) ) ( \rho - c_ ( 2 ) cdot M_ ( 2 ) ) ) , ) where the solute is assigned the subscript 2. For solutions with more than one solute, the conversion is : b i = c i ρ − ∑ c i ⋅ M i ( displaystyle b_ ( i ) = ( \frac ( c_ ( i ) ) ( \rho - sum c_ ( i ) cdot M_ ( i ) ) ) , ) Properties Sum of molar concentrations -- normalizing relations The sum of molar concentrations gives the total molar concentration, namely the density of the mixture divided by the molar mass of the mixture or by another name the reciprocal of the molar volume of the mixture. In an ionic solution, ionic strength is proportional to the sum of molar concentration of salts. Sum of products molar concentrations - partial molar volumes The sum of products between these quantities equals one. ∑ i c i ⋅ V i  ̄ = 1 ( displaystyle sum _ ( i ) c_ ( i ) cdot ( \bar ( V_ ( i ) ) ) = 1 ) Dependence on volume Molar concentration depends on the variation of the volume of the solution due mainly to thermal expansion. On small intervals of temperature the dependence is : c i = c i, T 0 ( 1 + α ⋅ Δ T ) ( displaystyle c_ ( i ) = ( \frac ( c_ ( i, T_ ( 0 ) ) ) ( ( 1 + alpha cdot Delta T ) ) ) ) where c i, T 0 ( displaystyle c_ ( i, T_ ( 0 ) ) ) is the molar concentration at a reference temperature, α ( displaystyle alpha ) is the thermal expansion coefficient of the mixture. Spatial variation and diffusion Molar and mass concentration have different values in space where diffusion happens. Examples 11.6 g of NaCl is dissolved in 100 g of water. The final mass concentration ρ ( NaCl ) is : ρ ( NaCl ) = 11.6 g / 11.6 g + 100 g = 0.104 g / g = 10.4 % The density of such a solution is 1.07 g / mL, thus its volume is : V = 11.6 g + 100 g / 1.07 g / mL = 104.3 mL The molar concentration of NaCl in the solution is therefore : c ( NaCl ) = 11.6 g / 58 g / mol / 104.3 mL = 0.00192 mol / mL = 1.92 mol / L Here, 58 g / mol is the molar mass of NaCl. A typical task in chemistry is the preparation of 100 mL ( = 0.1 L ) of a 2 mol / L solution of NaCl in water. The mass of salt needed is : m ( NaCl ) = 2 mol / L × 0.1 L × 58 g / mol = 11.6 g To create the solution, 11.6 g NaCl are placed in a volumetric flask, dissolved in some water, then followed by the addition of more water until the total volume reaches 100 mL. The density of water is approximately 1000 g / L and its molar mass is 18.02 g / mol ( or 1 / 18.02 = 0.055 mol / g ). Therefore, the molar concentration of water is : c ( H O ) = 1000 g / L / 18.02 g / mol ≈ 55.5 mol / L Likewise, the concentration of solid hydrogen ( molar mass = 2.02 g / mol ) is : c ( H ) = 88 g / L / 2.02 g / mol = 43.7 mol / L The concentration of pure osmium tetroxide ( molar mass = 254.23 g / mol ) is : c ( OsO ) = 5.1 kg / L / 254.23 g / mol = 20.1 mol / L. A typical protein in bacteria, such as E. coli, may have about 60 copies, and the volume of a bacterium is about 10 − 15 ( displaystyle 10 ^ ( - 15 ) ) L. Thus, the number concentration C is : C = 60 / ( 10 L ) = 6 × 10 L The molar concentration is : c = C / N = 6 × 10 L / 6 × 10 mol = 10 mol / L = 100 nmol / L Reference ranges for blood tests, sorted by molar concentration : Formal concentration If the concentration refers to original chemical formula in solution, the molar concentration is sometimes called formal concentration. For example, if a sodium carbonate solution has a formal concentration of c ( Na CO ) = 1 mol / L, the molar concentrations are c ( Na ) = 2 mol / L and c ( CO ) = 1 mol / L because the salt dissociates into these ions. References Jump up ^ IUPAC, Compendium of Chemical Terminology, 2nd ed. ( the `` Gold Book '' ) ( 1997 ). Online corrected version : ( 2006 -- ) `` amount concentration, c ''. ^ Jump up to : Kaufman, Myron ( 2002 ). Principles of thermodynamics. CRC Press. p. 213. ISBN 0 - 8247 - 0692 - 7. Jump up ^ David Bradley. `` How low can you go ? The Y to Y ''. External links Molar Solution Concentration Calculator Experiment to determine the molar concentration of vinegar by titration hide Mole concepts Physical quantities Mass concentration Molar concentration Molality Mass Volume Density Mole fraction Mass fraction Amount of substance Molar mass Atomic mass Particle number Avogadro constant Pressure Kelvin temperature Gas constant Molar volume Specific volume Laws Charles 's law Boyle 's law Gay - Lussac 's law Combined gas law Ideal gas law hide Articles related to solutions Solution Ideal solution Aqueous solution Solid solution Buffer solution Flory -- Huggins Mixture Suspension Colloid Phase diagram Eutectic point Alloy Saturation Supersaturation Serial dilution Dilution ( equation ) Apparent molar property Miscibility gap Concentration and related quantities Molar concentration Mass concentration Number concentration Volume concentration Normality Percentage solution Molality Mole fraction Mass fraction Isotopic abundance Mixing ratio Ternary plot Solubility Solubility equilibrium Total dissolved solids Solvation Solvation shell Enthalpy of solution Lattice energy Raoult 's law Henry 's law Solubility table ( data ) Solubility chart Solvent ( Category ) Acid dissociation constant Protic solvent Inorganic nonaqueous solvent Solvation List of boiling and freezing information of solvents Partition coefficient Polarity Hydrophobe Hydrophile Lipophilic Amphiphile Lyonium ion Lyate ion Retrieved from `` https://en.wikipedia.org/w/index.php?title=Molar_concentration&oldid=839349109 '' Categories : Chemical properties Talk Contents About Wikipedia Català Čeština Cymraeg Dansk Deutsch Eesti Ελληνικά Español فارسی Français Galego 한국어 Bahasa Indonesia Italiano עברית Kreyòl ayisyen Nederlands 日本 語 ਪੰਜਾਬੀ Polski Português Română Simple English Slovenščina کوردی Српски / srpski Svenska Tagalog Türkçe Українська 中文 23 more Edit links This page was last edited on 2 May 2018, at 21 : 15. 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Question: what is another name for mol/l
Answer: molar