HighFourChemistry Category C: Grades 9 – 10 Round 9 Tuesday, May 10, 2016 The use of calculator is required. Answer #1: Solution: 2.60 kg Molecular weight of FeCO3 = [55.85 + 12.01 + (16x3)] g/mol = 115.86 g/mol Using Stoichiometric analysis: % of Fe in FeCO3 = ( )( ) = 0.4820 kg Fe = 0.4820 ( 5400 g) ( )= 2.6028 kg 2.60 kg 2.60 kg of iron can be obtained from 5400 g of FeCO3 Answer#2: Explanation: Hypothesis Hypothesis is called a tentative explanation for a set of observations based on the data gathered. Answer#3: Solution: 107.8722 ( )old table = ( ( )old table = ( )present table At of Ag old table = ( )present table ) At of Ag old table = 107.8722 The atomic mass of silver on the table is 107.8722. HighFourChemistry Category C: Grades 9 – 10 Round 9 Tuesday, May 10, 2016 The use of calculator is required. Answer#4: Solution: 91.23 g/mol Form the balance equation: ZrBr4 + 4Ag 4AgBr + Zr M.W of AgBr = 187.772 g/mol M.W of Br4 = 319.616 g/mol Using Stoichiometric analysis: g AgBr = ( )( )( ) = 23.0058 let y be the atomic mass of Zr ; Atomic mass of ZrBr4 = y + 319.616 g/mol 12.5843g ZrBr4 = 23.0058 g AgBr( )( ( )( ) ) Solving for y y= 91.2333 g/mol 91.23 g/mol The atomic mass of Zr obtained in the experiment is 91.23 g/mol Answer#5: Explanation: Mass spectrometer Mass spectrometer is an instrument that separates particles of different isotopic composition and measures their individual relative masses. HighFourChemistry Category C: Grades 9 – 10 Round 9 Tuesday, May 10, 2016 The use of calculator is required. Answer#6: Solution: 7 g Na2SO4 = (15.00 – 7.05)g = 7.95 g Tabular solution: n(X) = X m(X) MW(X) Na2SO4 H2O 7.95 g 7.05 g 142.05 g/mol 0.0560 18.02 g/mol 0.3912 ( ) ( ) ( ) 1 6.9862 = 7 The mole ratio of H2O to Na2SO4 is 7 to 1 Empirical Formula: Na2SO4· 7H2O X=7 From the given formula, X is equal to 7, giving an empirical formula: Na2SO4· 7H2O. Answer#7: Solution: x =2; y=2; z= 7 KXCrxOx Assume 100 g of the compound X m(X) MW(X) K Cr O 26.57 35.36 38.07 39.10 g/mol 52 g/mol 16 g/mol n(X) = ( ) ( ) 0.68 0.68 2.3793 ( ) 1 1 3.5 K2Cr2O7 From the derived empirical formula, K2Cr2O7, x=2; y=2; and z= 7 2 2 7 HighFourChemistry Category C: Grades 9 – 10 Round 9 Tuesday, May 10, 2016 The use of calculator is required. Answer#8: Solution: 267.86 g Let x = g of sulfuric acid solution From the given, we can derive that: 56.0% sulfuric acid solution = ( Therefore, ( Solving for x: x = 267.8571 g ) ) x = 150 g H2SO4 267.86 g 267.86 g of 56.0% sulfuric acid solution is needed to provide 150g H2SO4. Answer#9: Solution: 1.01 g 1 cm3 of acid has a mass of 1.45 g Since 69.8% of the total mass of the acid is pure HNO3, then the number of grams of HNO3 in cm3 of acid is g HNO3 in cm3 of acid = 0.698 x 1.45 g = 1.0121 g 1.01 g The mass of pure HNO3 in a 69.8% by weight HNO3 solution is 1.01 g. Answer#10: Solution: 1.5 x 10-5 cm or 1.5 x 10^-5 cm Conversion of distance from µm to cm Distance = 0.15 µm( ) = 1.5 x 10-5 cm The distance in centimeter is 1.5 10-5 cm HighFourChemistry Category C: Grades 9 – 10 Round 9 Tuesday, May 10, 2016 The use of calculator is required. Answer#11: Solution: 483.12 g/mol Determine the formula of potassium hexachloroiridate (IV) Formula: K2IrCl6 Molar mass = [(2 x 39.10) + (6 x 35.45) + 192.22] g/mol = 483.12 g/mol The molar mass of hexachloroiridate (IV), K2IrCl6, 483.12 g/mol Answer#12: Solution: 4.52 x 1023 molecules or 4.52 x 10^23 molecules Molar mass of P4 = (4 x 30.974) = 123.896 g/mol mole P4 = ( ) = 0.7499 mol ) = 4.5159 x 1023 No. of molecules of P4 = 0.7499 mol ( No. of molecules of P4 4.52 x 1023 There are 4.52 x 1023 molecules of P4 in 92.91 g of phosphorus. Answer#13: Solution: 9.38 m3 Using dimensional analysis, we can formulate the formula: m3 ocean water = ( ( 3 m ocean water = ( m3 ocean water ) ( ) ) ) = 9.3846 m3 9.38 m3 9.38 m3 of ocean water must be processed to produce 0.61 kg of bromine. HighFourChemistry Category C: Grades 9 – 10 Round 9 Tuesday, May 10, 2016 The use of calculator is required. Answer#14: Solution: 5.38 x 10-23 kg or 5.38 x 10^-23 kg MW of C1200H2000O1000 = (12 x 1200) + 2000 + (16 x 1000) =32 400 g/mol )( kg C1200H2000O1000 = 1 molecule( = 5.3803 x 10-23 kg )( ) 5.38 x 10-23 kg One molecule of C1200H2000O1000 has a mass of 5.38 x 10-23 kg. Answer#15: Solution: 0.86 mol MW of Cd(NO3)2 ·4H2O = 308.411 g/mol Let Y represent the formula Cd(NO3)2 ·4H2O Using Stoichiometric analysis: mole N = 132.4 g Y ( )( ) = 0.8586 mol 0.86 mol There is 0.86 mol of N in 132.4 g of Cd(NO3)2 ·4H2O. Answer#16: Solution: 1.22 x 1024 molecules or 1.22 x 10^24 molecules MW of Cd(NO3)2 ·5H2O = 326.411 g/mol Let Y represent the formula Cd(NO3)2 ·5H2O Using Stoichiometric analysis: Molecules of H2O = 132.4 g Y ( )( Molecules of H2O = 1.2213 x 1024 molecules )( 1.22 x 1024 molecules There are 1.22 x 1024 molecules of H2O in 132.4 g of Cd(NO3)2 ·5H2O. ) HighFourChemistry Category C: Grades 9 – 10 Round 9 Tuesday, May 10, 2016 The use of calculator is required. Answer#17: 93.12% Solution: Fraction of Ag in AgCl = ( )= = 0.7527 Mass of Ag in 7.20 g AgCl = (0.7527)(7.20 g) = 5.4194 g Therefore the 5.82 g coin contains 5.4194 g of Ag % of Ag in coin = = 93.1168% 93.12 % The coin contains 93.12% of silver in the coin Answer#18: Solution: 90.29% Forming the balance equation: Na2CO3 + CaCl2 CaCO3 mol CaCO3 = 1.0262 g ( ) = 0.010262 mol + 2NaCl From the coefficients of the balance equation, mol Na2CO3 = mol CaCO3 Mass of pure Na2CO3 = 0.010262 mol( % purity = % purity ) = 1.087772 g x 100% = 90.2865% 90.29% The percentage purity of Na2CO3 in the sample is 90.29%. HighFourChemistry Category C: Grades 9 – 10 Round 9 Tuesday, May 10, 2016 The use of calculator is required. Answer#19: Solution: 8 794.5 m Pressure of Hg = pressure of air Formula: Height of Hg x density of Hg x g = Height of air x density of air x g Gravity, g, cancels out in equation (same gravity) (0.78 m)(13 530 kg/m3) = Height of air (1.2 kg/m3) Height of air = 8 794.5 m The height of air needed to cause a barometer to read 78 cm of mercury is 8 794.5 m Answer#20: Solution: 0.12 kg/m3 The density of a gas varies inversely with the volume, hence the formula = is used. d2 = Resultant density = (0.178 6 kg/m3) ( Resultant density ) = 0.1191 kg/m3 0.12 kg/m3 The resultant density is equal to 0.12 kg/m3 as it expanded to 1.5 times its initial volume.
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