Content text 1. Stoichiometry.pdf
Stoichiometry 1 1 Stoichiometry QUICK LOOK The concentration of a solution can be expressed in number of ways. Normality It is defined as the number of equivalent of a solute present in 1 litre of solution. Equivalent of a solute Eq N = Volume of solution in litre V in L . . .(i) Equivalent of substance (Eq) q Mass of substance E Equivalent mass of substance Mass of solute 100 N Equivalent mass of solute V in mL or N E V in mL W 1000 . . .(ii) Equivalent = Mass of solute N V in litre Equivalent mass of solute . . .(iii) Also, Milli equivalent of solute = N V in mL . . .(iv) Mass of solute Meq. of solute N 1000 Eq. mass of solute . . .(v) Note Equivalent and milli equivalent reacts in equal number to give the same number of equivalent of milli equivalent of products. An equivalent represents the mass of material providing Avogadro’s number of electrons from reacting unit. Normality of any solute depends up on the nature of reaction (like equivalent mass) but molarity not. Molarity: It is defined as the number of moles of solute present in 1 litre solution. Moles of a solute M Volume of solution in litre Mass of solute 1000 M Molar mass of solute V (in mL) Molarity Molar mass V in mL W 1000 in mL . . .(vi) in litre Mass of solute Moles M V Moles mass of solute . . . (vii) Milli moles M V in mL Mass of solute 1000 Molar mass of solute . . . (viii) Note Moles and milli moles of reactants react according to stoichiometry of equation and give products accordingly. Moles Molarity = Volume in litre Equivalent Normality = Volume in litre M Moles W Eq. mass 1 ; N Equivalent Molar mass W Valence factor Molarity × Valence factor = Normality . . .(ix) Analytical molarity (usually molarity) and equilibrium molarity are two different terms. Equilibrium molarity represents the moles of particular species in one litre of solutions. The equilibrium molarity of a strong electrolyte is zero. For example consider analytical molarity of 1 M HCl. The equilibrium molarity of HCl is zero because of 100% ionization as. + – HCl H +Cl 1 00 0 11 Whereas equilibrium molarities of + H and – Cl and 1 M each. Similarly a solution of a strong electrolyte say A Bx y having analytical molarity 1 M shows equlilibrium molarities of y AB,A x y and x- B as 0 M, xM and yM respectively. In case of weak electrolytes (either a weak acid or weak base) analytical molarity of C HA has the equilibrium molarities of HA, H and A are C1 ,C and C respectively. Since it shows partial dissociation + HA H + 1 0 1 A ( is degree of dissociation) In case of non electrolytes analytical molarity and equilibrium molarity are same.
2 Quick Revision NCERT - CHEMISTRY Molality: It is defined as number of moles of solute present in 1 kg of solvent. Moles of solute m Mass of solute in kg . . .(x) Mass of solute 1000 m Molar mass of solute Mass of solvent in gram . . .(xi) Mass of solvent = mass of solution–mass of solute Note: Molarity, normality and molality are extensive properties. Strength of Solution: It is expressed as amount of solute (in g) in 1 litre solution. Mass of solute w S Volume of solution in litre V in L . . .(xii) w S N E×V in L E . . .(xiii) Also, S NE or S M Molar mass . . .(xiv) In Terms of Percentage % by mass (or w/w) Mass of solute × 100 Mass of solution . . .( xv) % by strength (or V/V) Volume of solute × 100 Volume of solution . . .( xvi) % by volume (or mass/vol) Mass of solute ×100 Volume of solution . . .( xvii) A solution is 65% by... 65% by mass, i.e., 100 g solution has 65 g solute 65% by strength, i.e., 100 mL solution has 65 mL solute 65% by volume, i.e., 100 mL solution has 65 g solute Note Use of Specific Gravity: Specific gravity term is used for density in case of solution. The term ‘density’ refers for the ratio (mass/volume) for pure solvent. Mass of solvent Density= Volume of solvent i.e., density is the mass of 1 mL of solvent. Density is the mass per unit volume at the specified temperature, usually g/mL or g/cm3 at 20°C. Specific gravity is defined as the ratio of the mass of a solution at 20°C, to the mass of an equal volume of water at 4°C (or sometimes 20°C). Thus, specific gravity is a dimensionless quantity. The density of water at 4°C is 1.0000 g / mL . Density and specific gravity are equal when referred to water at 4°C. When specific gravity is referred to water at 20°C, then (since density of water at 20°C is 0.99823 g / mL) Density = specific gravity 0.99823 Mole Fraction Mole fraction of solute XA A Moles of solute X Total moles present in solution Moles of solute n Moles of solute + Moles of solvent n N Mole fraction of solvent XB B Moles of solvent X = Total moles present in solution Moles of solvent N = = Molesof solute + Moles of solvent n N Also, A n w/m X n N w/m W/M . . .(xviii) B N W/M X n N w/m W/M . . .( xix) Also, for a binary system XX1 A B . . .( xx) i.e., sum of all the mole fractions in a solution is unity. Also, A B X n X N . . .( xxi) Note Molality, % by mass, mole fractions are independent of temperature since all these involve mass which does not depend upon temperature. Standard Solution: The solution whose molarity or normality is known. A standard solution is prepared by dissolving an accurately weighed quantity of a highly pure material called a primary standard (e.g., oxalic acid, Borax 247 2 (Na B O 10H O) N 23 2 a CO 10H O and potassium acid phthalate, etc.) and diluting to an accurately known volume of solution. If the material is not sufficiently pure (e.g., NaOH) a solution is prepared to give approximately the desired concentration and this is standardized by titrating a weighed quantity of primary standard. Such solutions are called secondary standard. Normal or Molar Solution: Solution having normality = 1 N or molarity = 1 M respectively. On diluting a solution: Normality, molarity and molality change with dilution whereas, equivalent, mill equivalent, moles or milli moles of solute do not change or during dilution conservation of moles of solute take place. The volume of a liquid increases with temperature. It is therefore, 5 litre of C H6 6 masses more in winter than in summer.
4 Quick Revision NCERT - CHEMISTRY MULTIPLE CHOICE QUESTIONS Significant Figures, Units for Measurement, Matter and Separation of Mixture 1. In the final answer of the expression 5 (29.2 20.2)(1.79 10 ). 1.37 The number of significant figures is: a. 1 b. 2 c. 3 d. 4 2. The prefix zepto stands for: a. 9 10 b. 12 10 c. 15 10 d. 21 10 3. The number of significant figures in 60.0001 is: a. 5 b. 6 c. 3 d. 2 Laws of Chemical Combination 4. Which of the following is the best example of law of conservation of mass? a. 12 g of carbon combines with 32 g of oxygen to form 44 g of CO2 b. When 12 g of carbon is heated in a vacuum there is no change in mass c. A sample of air increases in volume when heated at constant pressure but its mass remains unaltered d. The weight of a piece of platinum is the same before and after heating in air 5. n g of substance X reacts with m g of substance Y to form p g of substance R and q g of substance S. This reaction can be represented as, X Y R S. The relation which can be established in the amounts of the reactants and the products will be a. nm pq b. nm pq c. n m d. p q Atomic, Molecular and Equivalent Masses 6. Sulphur forms the chlorides S Cl and SCl . 22 2 The equivalent mass of sulphur in SCl2 is: a. 8 g/mole b. 16 g/mole c. 64.8 g/mole d. 32 g/mole 7. What is the concentration of nitrate ions if equal volumes of 0.1 M AgNO3 and 0.1 M NaCl are mixed together? a. 0.1 M b. 0.2 M c. 0.05 M d. 0.25 M 8. 74.5 g of a metallic chloride contain 35.5 g of chlorine. The equivalent weight of the metal is: a. 19.5 b. 35.5 c. 39.0 d. 78.0 9. One litre of a gas at STP weight 1.16 g it can possible be: a. C2H2 b. CO c. O2 d. CH4 10. 1.25 g of a solid dibasic acid is completely neutralised by 25 ml of 0.25 molar Ba(OH)2 solutions. Molecular mass of the acid is: a. 100 b. 150 c. 120 d. 200 11. The atomic weights of two elements A and B are 40 and 80 respectively. If x g of A contains y atoms, how many atoms are present in 2x g of B? a. y 2 b. y 4 c. y d. 2y 12. 1.520 g of the hydroxide of a metal on ignition gave 0.995 gm of oxide. The equivalent weight of metal is: a. 1.520 b. 0.995 c. 19.00 d. 9.00 13. What should be the equivalent weight of phosphorous acid, if P=31; O=16; H=1? a. 82 b. 41 c. 20.5 d. None of these 14. The weight of a molecule of the compound C H60 122 is: a. 21 1.4 10 g b. 21 1.09 10 g c. 23 5.025 10 g d. 23 16.023 10 g 15. Caffeine has a molecular weight of 194. If it contains 28.9% by mass of nitrogen, number of atoms of nitrogen in one molecule of caffeine is: a. 4 b. 6 c. 2 d. 3 16. A gaseous mixture contains CH4 and C H2 6 in equimolecular proportion. The weight of 2.24 litres of this mixture at NTP is: a. 4.6 g b. 1.6 g c. 2.3 g d. 23 g 17. Volume of a gas at STP is 7 1.12 10 cc. Calculate the number of molecules in it: a. 20 3.01 10 b. 12 3.01 10 c. 23 3.01 10 d. 24 3.01 10 18. The number of moles of oxygen in 1 L of air containing 21% oxygen by volume, in standard conditions, is: a. 0.186 mol b. 0.21 mol c. 2.10 mol d. 0.0093 mol