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319 questions with worked solutions.
Answer: 0.01 M
6.02e20 / 6.02e23 = 1e-3 mol of urea in 0.100 L, so molarity = 0.001/0.1 = 0.01 M. Stored answer 0.001 M confuses moles with molarity.
Answer: 2.925 g
H2SO4 (4.9 g) + NaCl = NaHSO4 (6 g) + HCl (1.825 g); by conservation NaCl = 7.825 - 4.9 = 2.925 g (= 0.05 mol). Stored 4.65 g is wrong.
Q3. Which of the following has the least mass?
Answer: 0.1 g of silver
0.2 mol H2 = 0.4 g; 6.023e22 N2 = 0.1 mol = 2.8 g; 0.1 g Ag = 0.1 g; 0.1 mol O2 = 3.2 g. Least is 0.1 g of silver, not the hydrogen.
Answer: 3.125 × 10^−2
Each Mg3(PO4)2 contains 8 O atoms, so moles = 0.25/8 = 0.03125 = 3.125e-2. Stored 2.5e-2 is wrong.
Answer: 4
The percentage of iron by mass in haemoglobin indicates that for every 100 grams of haemoglobin, there are 0.33 grams of iron. Given the molecular mass of haemoglobin is approximately 67200 g/mol, the mass of iron in one mole of haemoglobin is calculated to be 0.33% of 67200, which equals about 221 grams. Dividing this by the atomic mass of iron (56 g/mol) shows that there are approximately 4 iron atoms in each haemoglobin molecule.
Q6. For the reaction 2Al(s) + 6HCl(aq) → 2Al³+(aq) + 6Cl^−(aq) + 3H₂(g), which statement is correct?
Answer: 11.2 L of H₂(g) at STP is formed for each mole of HCl(aq) used up
2Al->3H2 means 1 mol Al gives 1.5 mol H2 = 33.6 L (not 67.2). The correct true statement is option 0: 6 HCl -> 3 H2, so 1 mol HCl gives 0.5 mol H2 = 11.2 L at STP.
Answer: 17.8 M
The correct option is right because the molarity is determined by the concentration of the solute in the solution, which is calculated using the density and mass percentage of the acid, leading to a result of 17.8 M.
Answer: 7 g
The correct option is 7 g because the reaction between AgNO₃ and NaCl produces AgCl as a precipitate, and stoichiometric calculations based on the concentrations and volumes of the solutions show that 7 g of AgCl is formed.
Answer: C7H8
CO2 3.08/44 = 0.07 mol C; H2O 0.72/18 = 0.04 mol -> 0.08 mol H. C:H = 0.07:0.08 = 7:8 -> C7H8. Stored C3H4 is wrong.
Answer: 9 mol of CO₂
Na2CO3 848/106 = 8 mol -> 8 CO2; NaHCO3 84/84 = 1 mol -> 1 CO2; NaCl gives none. Total 9 mol CO2. Stored 17 is wrong.
Answer: N₂H₄
The correct option, N₂H₄, is derived from the given mass percentage of hydrogen and the density ratio, which indicates that the compound contains two nitrogen atoms for every four hydrogen atoms, aligning with the calculated molecular formula.
Answer: 11.65 g
BaCl2 = 20.8 g/208 = 0.1 mol; H2SO4 = 4.9 g/98 = 0.05 mol (limiting). BaSO4 = 0.05 x 233 = 11.65 g. Stored 30.6 g is wrong.
Answer: 30
I2 = 2.54/254 = 0.01 mol; 5CO -> 1 I2, so CO = 0.05 mol = 1.4 g, CO2 = 0.6 g -> 30% CO2. Stored 70 is wrong.
Q14. A sample of a gas has a mass of 7.5 g and occupies 5.6 L at STP. Which gas is it?
Answer: NO
5.6 L at STP = 0.25 mol; molar mass = 7.5/0.25 = 30 g/mol = NO. Stored CO (28 g/mol) is wrong.
Q15. How much oxygen is needed to completely burn 2.8 kg of ethylene?
Answer: 9.6 kg
To completely burn ethylene (C2H4), a specific stoichiometric amount of oxygen is required. The balanced chemical equation shows that for every mole of ethylene, three moles of oxygen are needed, which translates to approximately 9.6 kg of oxygen for 2.8 kg of ethylene.
Answer: 2:1
Let propane=x, butane=y L. x+y=3 and 3x+4y=10 give y=1, x=2, so propane:butane = 2:1. Stored 1:2 is inverted.
Answer: C₆H₁₀O₄
C:H:O = 49.3/12 : 6.84/1 : 43.86/16 = 1.5:2.5:1 = 3:5:2 -> empirical C3H5O2 (73); MW 146 doubles it to C6H10O4. Stored C4H10O2 (90) is wrong.
Q18. Which of the following groups does not consist of isoelectronic species?
Answer: SO₃²⁻, CO₃²⁻, NO₃⁻
SO3^2- has 42 electrons while CO3^2- and NO3^- have 32 each, so set (option 1) is NOT isoelectronic. The stored set PO4^3-/SO4^2-/ClO4^- all have 50 electrons (isoelectronic), so it is not the answer.
Answer: 494 nm
Per-bond energy = 242000/6.02e23 = 4.02e-19 J; lambda = (6.626e-34 x 3e8)/4.02e-19 = 4.94e-7 m = 494 nm. The stored 594 nm is wrong.
Answer: CO₂ = 300 mL; CO = 400 mL
If x mL CO2 reacts, total gas = (500 - x) + 2x = 500 + x = 700, so x = 200. Remaining CO2 = 300 mL and CO = 400 mL, not 200/500.
Answer: 317
The correct option is derived from calculating the moles of methane and propane in the mixture based on the stoichiometry of their combustion reactions with oxygen. By determining the amount of each gas burned and applying their respective enthalpy changes of combustion, the total heat evolved can be accurately calculated, leading to the correct answer of 317 kJ.
Answer: 2: 3
Balanced ethane combustion gives 2 CO2 and 3 H2O, so the CO2:H2O ratio is 2:3, not 1:1.
Q23. How many moles of H2 are present in 0.224 L of hydrogen gas measured at STP (273 K and 1 atm)?
Answer: 0.01
At standard temperature and pressure (STP), one mole of any gas occupies 22.4 liters. Therefore, to find the number of moles in 0.224 liters, you divide 0.224 L by 22.4 L/mol, resulting in 0.01 moles of H2.
Answer: 16.76
The correct option is derived by first adjusting the pressure of the nitrogen gas to account for the vapor pressure of water, then using the ideal gas law to calculate the number of moles of nitrogen produced. Finally, the percentage of nitrogen in the original compound is calculated based on the mass of the organic substance and the moles of nitrogen obtained.
Answer: 10.0
S = 0.233 x 32/233 = 0.032 g; %S = 0.032/0.32 x 100 = 10.0%. The stored 1.0% is off by a factor of ten.
Answer: CH₃NH₂
Moles C:H:N = 38.8/12 : 16/1 : 45.2/14 = 1 : 5 : 1, giving CH5N = CH3NH2 (which matches the percentages exactly). The stored CH2(NH2)2 does not fit.
Answer: 45.0 g concentrated HNO3 solution
Need 0.5 mol HNO3 = 31.5 g; at 70% w/w the solution mass = 31.5/0.70 = 45 g, not 70 g.
Answer: 1.910 M and 0.955 M
The correct option is right because when sodium carbonate (Na2CO3) dissolves, it dissociates into two sodium ions (Na+) and one carbonate ion (CO3²−). Therefore, the concentration of Na+ ions is twice that of CO3²− ions, leading to 1.910 M for Na+ and 0.955 M for CO3²− in a 250 mL solution.
Answer: d[NH3]/dt = -2 d[H2]/dt / 3
For N2 + 3H2 -> 2NH3: (1/2) d[NH3]/dt = -(1/3) d[H2]/dt. Therefore d[NH3]/dt = -(2/3) d[H2]/dt, i.e. d[NH3]/dt = -2 d[H2]/dt / 3.
Answer: 28 kg
The reaction shows that 1 mole of calcium carbide (CaC2) produces 1 mole of acetylene (C2H2), which then converts to polyethylene (–CH2–CH2–)n. Given the molar mass of CaC2 and the stoichiometry of the reactions, 64.1 kg of CaC2 yields enough C2H4 to produce 28 kg of polyethylene.
Q31. For the reaction 2Al(s) + 6HCl(aq) → 2Al³+(aq) + 6Cl^-(aq) + 3H2(g), which statement is correct?
Answer: 11.2 L of H2(g) at STP is formed for each mole of HCl(aq) used up.
From the stoichiometry 6 HCl -> 3 H2, each mole of HCl yields 0.5 mol H2 = 0.5 x 22.4 = 11.2 L at STP. (1 mol Al gives 1.5 mol = 33.6 L H2, not 67.2 L, so that option is wrong.)
Answer: 5.55 × 10⁻⁴ m
Moles urea = 0.0100/60 = 1.667e-4 mol. Mass of water = 0.300 dm^3 ~ 0.300 kg. Molality = 1.667e-4 / 0.300 = 5.55e-4 m.
Answer: C7H8
CO2: 3.08/44 = 0.07 mol C. H2O: 0.72/18 = 0.04 mol -> 0.08 mol H. C:H = 0.07:0.08 = 7:8, so empirical formula is C7H8.
Answer: 7.5 kg
Replacing each hydrogen atom with two deuterium atoms effectively doubles the mass contribution from hydrogen. Since hydrogen makes up about 10% of a 75 kg person, this results in an increase of approximately 7.5 kg.
Answer: 84.3
Each M2CO3 gives one CO2, so moles M2CO3 = 0.01186. Molar mass = 1 g / 0.01186 mol = 84.3 g/mol.
Answer: C2H4O3
12x/y = 6 gives y = 2x, so the hydrocarbon part is CxH2x. Complete combustion needs 3x O atoms (2x for CO2 + x for H2O); half of that is 1.5x, so z = 1.5x. With x = 2 the empirical formula is C2H4O3.
Answer: 56 g of N2 + 10 g of H2
In the reaction, 1 mole of N2 reacts with 3 moles of H2. In option A, the amount of H2 available (10 g or about 5 moles) is insufficient to fully react with the available N2 (56 g or about 2 moles), making H2 the limiting reagent.
Q38. Amongst the following statements, that which was not proposed by Dalton was:
Answer: When gases combine or reproduced in a chemical reaction they do so in a simple ratio by volume provided all gases are at the same T & P.
This statement, while related to gas behavior, was actually proposed by Avogadro, not Dalton. Dalton's atomic theory focused on the indivisibility of atoms and their mass properties, but did not specifically address the volume ratios of gases.
Answer: 7: 32
For mass ratio O:N = 1:4, moles of O2 = 1/32 and moles of N2 = 4/28 = 1/7. The molecule ratio = (1/32):(1/7) = 7:32.
Answer: Gaseous densities at the same temperature and pressure
C2H5OH and CH3OCH3 have the same molecular formula and therefore the same molar mass. At the same temperature and pressure, gaseous density = PM/RT depends only on molar mass, so their gaseous densities are identical.
Q41. The molarity of a solution obtained by mixing 750 mL of 0.5 M HCl with 250 mL of 2 M HCl will be:
Answer: 0.875 M
To find the molarity of the mixed solution, we calculate the total moles of HCl from each solution and divide by the total volume of the mixture. The moles from the first solution (0.5 M) and the second solution (2 M) are combined, and the total volume is 1000 mL, resulting in a final molarity of 0.875 M.
Q42. Synthesis of each molecule of glucose in photosynthesis involves:
Answer: 18 molecules of ATP
Fixing 6 CO2 to make one glucose in the Calvin cycle consumes 18 molecules of ATP (and 12 NADPH). So the answer is 18 ATP.
Answer: 23.7
The correct option is right because the amount of nitrogen is calculated based on the neutralization of the excess acid after ammonia absorption. By determining the moles of HCl initially present and subtracting the moles neutralized by NaOH, the moles of ammonia (and thus nitrogen) can be found, leading to the percentage of nitrogen in the compound.
Answer: 10%
The correct option is 10% because the amount of ammonia produced from the organic compound can be calculated from the neutralization of the unreacted sulfuric acid, which indicates the nitrogen content. By determining the moles of ammonia and relating it to the mass of the organic compound, the percentage of nitrogen can be accurately derived.
Answer: C7H8
The correct option, C7H8, is determined by calculating the moles of carbon and hydrogen from the combustion products. The mass of CO2 indicates the amount of carbon, while the mass of water indicates the amount of hydrogen, leading to a ratio that corresponds to the empirical formula C7H8.
Answer: 5
The increase in molecular mass from 180 to 390 indicates that 210 mass units are added during acylation. Since the acylation of an amino group with CH3COCl adds 42 mass units per amino group, dividing 210 by 42 gives 5, indicating there are 5 amino groups in the original compound.
Answer: 4.08%
To find the fraction of metal M that exists as M3+, we can set up a balance of charges in the oxide formula M0.98O. Given that M is present as both M2+ and M3+, we can express the total amount of metal in terms of its oxidation states and solve for the fraction of M3+, leading to the conclusion that 4.08% of the metal is in the M3+ state.
Q48. Synthesis of each molecule of glucose in photosynthesis involves -
Answer: 18 molecules of ATP
The synthesis of one molecule of glucose during photosynthesis requires a total of 18 ATP molecules, as it involves multiple cycles of the Calvin cycle where ATP is used to convert carbon dioxide into glucose.
Answer: 7: 32
To find the ratio of the number of molecules, we first need to convert the mass ratio into a mole ratio using the molar masses of oxygen (16 g/mol) and nitrogen (28 g/mol). Given the mass ratio of oxygen to nitrogen is 1:4, we can calculate the number of moles of each gas and find that the ratio of their molecules is 7:32.
Answer: 10%
The correct option is 10% because the amount of ammonia produced from the digestion of the organic compound can be calculated based on the neutralization of the unreacted sulfuric acid with sodium hydroxide. This calculation reveals that the nitrogen content in the original sample corresponds to 10% of its weight.