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Internal assessment resource number Chem/2/_G2 PAGE FOR TEACHER USE 2010 Internal Assessment Resource Subject Reference: Chemistry 2.3 Internal assessment resource reference number: Chem/2/3_G2 Chemistry Calculations Supports internal assessment for: Achievement Standard 90763 v2 Solve simple quantitative chemical problems Credits: 2 Date version published: April 2008. Modified March 2010 Ministry of Education quality assurance status For use in internal assessment from 2008 © Crown 2008 1 Mt Aspiring College AS2.3 assessment task 2011 2010 Internal Assessment Resource Subject Reference: Chemistry 2.3 Chemistry Calculations Achievement Standard 90763 v2 Solve simple quantitative chemical problems Credits: 2 Time allowed: 1 hour This is a closed book activity. Student Instructions Sheet For some of the following calculations you will need to refer to the Periodic Table on page 6 to find the required molar masses of elements. Give answers to 3 significant figures where appropriate. 1 Calculate the amount (in moles) of methane, CH4, in 23.0 g of the gas? M(CH4) = 16.0 g mol1 2 Calculate the mass of 6.25 mol of sodium hydroxide, NaOH. M(NaOH) = 40.0 g mol1 3 25.4 mL of a solution contains 0.00257 mol of HCl. Calculate the concentration, in mol L–1, of the HCl solution. © Crown 2008 2 Mt Aspiring College AS2.3 assessment task 2011 4 Calculate the amount (in moles) of NaOH present in 15.6 mL of 0.125 mol L–1 solution. 5(a) Arginine is an aminoacid which has a mass composition of 41.5% carbon, 8.0% hydrogen, 32.2% nitrogen and 18.3% oxygen. Calculate the empirical formula of arginine. (b) If the molar mass of arginine is 174 g mol1, use your answer to part (a) above to determine the molecular formula of arginine. 6. Calculate the percentage of carbon and oxygen in glucose, C6H12O6. © Crown 2008 3 Mt Aspiring College AS2.3 assessment task 2011 7 800 mL of 0.253 mol L1 NaHCO3 solution is mixed with 500 mL of 0.824 mol L1 NaHCO3 solution. What is the concentration of the final solution? 8 A chemist found that 9.38 g of sulfur combined with fluorine to produce 31.62 g of gas. Determine the empirical formula of the compound. 9 What mass of CO2 is produced in the complete combustion of 35.6 g of ethanol according to the following equation? C2H5OH + © Crown 2008 3 O2 2 CO2 + 3 H2O 4 Mt Aspiring College AS2.3 assessment task 2011 10 What mass of iron can be produced if 25.0 g of carbon monoxide react with iron(III) oxide according to the following equation? Fe2O3 11 + 3 CO 2 Fe + 3 CO2 Hydrated magnesium sulfate is heated in a crucible. The following data is collected: mass of crucible and lid = 26.49 g mass of hydrated magnesium sulfate = 2.13 g mass crucible, lid and magnesium sulfate after first heating = 27.55 g mass of crucible, lid and magnesium sulfate after second heating = 27.53 g Use these results to determine the formula of hydrated magnesium sulfate. M(MgSO4) = 120.3 g mol1 M(H2O) = 18.0 g mol1 © Crown 2008 5 Mt Aspiring College AS2.3 assessment task 2011 PERIODIC TABLE OF THE ELEMENTS 18 Atomic Number 1 4 Li 6.9 11 Na 23.0 19 K 39.1 37 Rb 85.5 55 Cs 133 87 Fr 223 Be 9.0 12 Mg 24.3 20 Ca 40.1 38 Sr 87.6 56 Ba 137 88 Ra 226 Molar Mass / g mol –1 13 5 B 10.8 13 Al 3 4 5 6 7 8 9 10 11 12 27.0 21 22 23 24 25 26 27 28 29 30 31 Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga 45.0 47.9 50.9 52.0 54.9 55.9 58.9 58.7 63.5 65.4 69.7 39 40 41 42 43 44 45 46 47 48 49 Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In 88.9 91.2 92.9 95.9 98.9 101 103 106 108 112 115 71 72 73 74 75 76 77 78 79 80 81 Lu Hf Ta W Re Os Ir Pt Au Hg Tl 175 179 181 184 186 190 192 195 197 201 204 103 104 105 106 107 108 109 Lr Rf Db Sg Bh Hs Mt 262 57 Lanthanide Series Actinide Series © Crown 2008 2 H 1.0 2 3 1 58 59 La Ce Pr 139 140 141 89 90 91 Ac Th Pa 227 232 231 60 61 62 63 Nd Pm Sm Eu 144 147 150 152 92 93 94 95 U Np Pu Am 238 237 239 241 14 15 16 17 6 7 8 9 C 12.0 14 Si 28.1 32 Ge 72.6 50 Sn 119 82 Pb 207 N 14.0 15 P 31.0 33 As 74.9 51 Sb 122 83 Bi 209 O 16.0 16 S 32.1 34 Se 79.0 52 Te 128 84 Po 210 F 19.0 17 Cl 35.5 35 Br 79.9 53 I 127 85 At 210 64 65 66 67 Gd Tb Dy Ho 157 159 163 165 96 97 98 99 Cm Bk Cf Es 247 249 251 254 He 4.0 10 Ne 20.2 18 Ar 40.0 36 Kr 83.8 54 Xe 131 86 Rn 222 68 69 70 Er Tm Yb 167 169 173 100 101 102 Fm Md No 257 258 255 6 Internal assessment resource number Chem/2/3_G2 PAGE FOR TEACHER USE AS90763 v2 Assessment Schedule: Chemistry Calculations 2 - Chem/2/3_G2 Q 1 23.0 g = 1.44 mol 16.0 g mol 1 Correct m = 6.25 mol x 40.0 g mol–1 = 250 g Correct n(CO2) = 2 3 c= 4 Judgement for Achievement Evidence n = 0.125 mol L–1 x 15.6 x 10–3 L = 1.95 x 10–3 mol (a) n(C) = 41.4 g = 3.45 mol 12.0 g mol 1 32.2 g n(N) = = 2.3 mol 14.0 g mol 1 Judgement for Excellence Correct 0.00257 mol = 0.101 mol L–1 25.4 x 10 3 L 5 Judgement for Merit n(H) = 8g = 8 mol 1.0 g mol 1 18.3 g n(O) = = 1.14 mol 16.0 g mol 1 Correct Amount in moles of each element correct. Empirical and molecular formulae correct. Correct process, but incorrect empirical formula used. Divide each by 1.14. Empirical formula C3H7N2O (M=87 g mol–1) (b) Emp. formula x 2 = molecular formula C6H14N4O2 6 M(C6H12O6) = 180 g mol–1 % C= %O= © Crown 2008 6 x12 g x 100 = 40.0 % 180 g mol 1 Process correct but incorrect molar mass of glucose used. % of C and O correct 6 x16 g x 100 = 53.3 % 180 g mol 1 7 Internal assessment resource number Chem/2/3_G2 PAGE FOR TEACHER USE 7 n(NaHCO3) = (0.253 mol L1 x 0.800 L) + (0.824 mol L1 x 0.500 L) OR = 0.614 mol Total volume = 1.30 L concentration of final solution = 8 n(S) = Correct total amount of NaHCO3 0.6144 mol = 0.473 mol L1 1 .3 L 9.38 g = 0.292 mol 32.1 g mol 1 correct process for calculating concentration using a volume of 1.3 L. Correct amount of S OR F. Correct process with one minor error. Correct determination empirical formula. eg Incorrect mass of F. m(F) = 31.62 9.38 = 22.2 g n(F) = Correct determination of concentration of final solution. 22.2 g = 1.16 mol 19.0 g mol 1 Hence S : F = 1 : 4 and empirical formula is SF4. 9 M(C2H5OH) = 46.0 g mol1 (i) n(C2H5OH) = 35.6 g / 46.0 g mol1 = 0.774 mol (ii) n(CO2) = 2 x n(C2H5OH) = 1.55 mol Correct process used in either step (i) or (iii). Correct process with one minor error. Correct answer for mass of CO2 produced. eg An incorrect molar mass. (iii) m(CO2) = 1.55 mol x 44.0 g mol1 = 68.1g 10 25.0 g = 0.893 mol 28.0 g mol 1 (i) n(CO) = (ii) n(Fe) = 3 x n(CO) = 0.595 mol 2 Correct process used in either step (i) or (iii). Correct process with one minor error. Correct answer for mass of Fe produced. eg An incorrect molar mass. (iii) m(Fe) = 0.595 mol x 55.9 g mol1 = 33.3 g © Crown 2008 8 Internal assessment resource number Chem/2/3_G2 PAGE FOR TEACHER USE 11 mass of anhydrous MgSO4 = 1.04 g mass of H2O = 1.09 g amount of MgSO4 = amount H2O = 1.04 g 120 .3 g mol 1 1.09 g 18 .0 g mol 1 Correct determination of masses of MgSO4 and H2O. Correct determination of either amount of MgSO4 or H2O. Correct formula for hydrated salt. = 8.65 x 103 mol = 6.06 x 102 mol ratio n(H2O) / n(MgSO4) = 7 formula is MgSO4.7H2O Sufficiency Statement In the application of the assessment schedule, the learner's response to each question is only awarded one level of A, M or E. The requirements for sufficiency are as follows: Achievement SIX questions answered correctly at achievement or higher. 6xA Merit SEVEN questions answered correctly with FOUR answers at merit level or higher PLUS THREE answers at achievement level or higher. 4xM + 3xA Excellence EIGHT questions answered correctly with THREE answers at excellence level PLUS TWO answers at merit level or higher PLUS THREE other answers at achievement level or higher AND answers to all questions except 5, 8 and 11 require 3 significant figures and units. 3xE + 2xM + 3xA © Crown 2008 9