SOLUTIONS PART B - CHEMISTRY 31. a) b) b) 0.25 50% Let CaCO3 be x g and SiO2 be (4 – x) g 100 gm of CaCO3 produces 44 gm of CO2, No. of moles 32. 35. PCM 5.6 = 0.25 22.4 = so 0.88 g CO2 is produced by 100 = x x = 3.011 u 1023 No. of moles = mass molar mass = 9 18 = 1 44 0.88 100 u 0.88 44 = 2 gm of CaCO3 so, 50% SiO2 is present. 2 1 No. of molecules = u 6.022 u 1023 2 = 3.011 u 1023 36. c) 1.26 u 1024 1 mol C6H12O6 has 6NA atoms of C. 0.35 mol has 6 u 0.35 NA = 2.1 N A atoms of C. 33. a) 2.1 u 6.022 u 1023 0.01 H2 O AgNO3 + NaCl o AgCl + NaNO3 moles 1.7 170 0.585 58.5 ? 0.01 0.01 ? 37. c) 0.85 85 = 1.26 u 1024 26,18 Let atomic mass of P and Q be a and b respectively. Molar mass of P2Q3 = 2a + 3b 0.01 Molar mass of P2Q3 = a + 2b (molar mass u moles = mass) So (2a + 3b) 0.15 = 15.9 Mass of AgCl formed (by law of mass conservation) 1.7 + 0.585 – 0.85 = 1.435 gram 1.435 moles of AgCl = 143.5 34. d) = 0.01 38. 8.8 g c) (principle of atomic conservation) + 2HCl(aq) o CaCl2(aq) + H2O(l) + CO2(g) for HCl 20 = 0.2 mole 100 a = 26, b = 18 C7H8 x : y = 2 3.08 0.72 : 44 18 = 0.07 : 0.04 § moles of reactant taken · ¨ ¸ comes out © stoichiometric coefficient ¹ least for limiting reagent for CaCO3 = 9.3 y y· § C x Hy ¨ x ¸ O2 o x CO2 H2O 2 4¹ © 1st balance equation using POAC CaCO3(s) (a + 2b) 0.15 = 7 : 4 So, x : y 39. 2.0 = 0.548 36.5 b) 2 moles so CaCO3 is limiting reagent. 1 mole CaCO3 produces 1 mole CO2, so = 7 : 8 = molar mass 5.6 = 22.4 = mass no.of moles = 16 1 4 0.2 mole produce 0.2 mole CO2. mass = molar mass u moles = 44 u 0.2 = 8.8 gm CO2 1 4 = 64 SOX = 32 + x(16) = 64 ... 5 ... PCM SOLUTIONS x = 2 44. 40. b) c) 3.125 u 10 Mg3(PO4)2 11.2 kg –2 Mass of pure Fe2O3 = 8 mole O atoms are in 1 mole 1 mole O atoms in = 16kg Fe2O3 o 2Fe 1 mol produces 2 mol 1 mole 8 160g produces 112g 1 1 1 1 mole O atoms in u = moles 32 4 8 4 = 3.125 u 10–2 1.2 41. c) 35 2 16kg produces 45. × NA d) = = No. of molecules in 1 drop = 2.4 70 % yield = 2.4 1 u 70 35 2.4 35 2 c) u NA 2 46. d) 35 2 C4H10 % wt At. wt. relative no. of of atoms 6.9y y6.9 = 1 82.8 12 82.8y y12 = 6.9 H 17.2 1 17.2y y1=17.2 47. 17.2y y6.9=2.5 5 43. b) C4H10 10 Na2CO3 . xH2O Na2CO3 + xH2O 1 mol 1mol 2.574 106 +18x 48. c) 0.954 106 = 9 u 10–3 = 10 H – F > H – O > H – N > H – Cl solubility in water (BaSO4 > Na2SO4) BaSO4 has more covalent character. 49. b) Na2O2 > KO2 > O2 Bond order Bond order decreases. 72 litre On balancing the equation 4NH3 + 5O2 o 4NO + 6H2O = Decreasing electronegativity. C2H5 empirical formula mass = 29 n = 2 n(C2H5) b) 1 u 123 = 41g 3 24.6 u 100 = 60% 41 On solving x simple ratio atoms/moles C o C6H5NO2 + H2O 26 2 1 = = mol 78 6 3 1.2 u NA = 42. 60% C6H6 + HNO3 = 2.4 gm No. of moles in 1 drop 112 u 16 = 11.2kg 160 actual yield % yield = theoretical yield u 100 mass = vol u density = 2 ml u 1.2 g ml–1 No. of moles in 35 drops 80 u 20 100 50. Volume ratio = molar ratio 90 5 = = x = 72 x 4 ... 6 ... c) NO2 and O3 SOLUTIONS 57. 51. a) PCM a) X is the limiting reagent 3x + 4y o X3Y4 6 3 BF4 58. c) ª6º « 4 » o minimumso y inLR ¬ ¼ both a and b 1 amu = 1.66x x10 x –24g 59. d) 96500 Coloumbs 1.6 x10 x –19coloumb x 6.022 x1023 $ 96500 coloumb/mol. 52. d) four 2C – 2e bonds and two 3C – 2e 60. bonds d) both a and b are incorrect No of atoms on each side remains conserved (always) Limiting reagent is decided by both stoichiometric coefficients of balanced chemical reaction and moles taken. 53. d) CN– and NO+ can be solved by both lewis concept and MOT and MOT, B.O = = 54. a) (B.O = 3) No of el in BMO – No of el in ABMO 2 10 – 4 =3 2 40 16 u 100 = 40% 40 55. c) 112 g 88g CO2 contain 64 g oxygen 28g CO contain 16 g oxygen for 64 g of O, 112 g of CO in needed. 56. d) 168 C 5 H10 15 O o 5CO2 5H 2O 2 2 15 15 mole u 22.4 = 168 litre 2 2 ... 7 ...
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