A sample contains of formula units. The amount of chloride ions in the sample is
The relative formula mass, , of is
For the reaction , of nitrogen reacts with excess hydrogen. The volume of ammonia produced, measured at the same temperature and pressure, is
The mass of of is
A compound contains carbon, hydrogen and oxygen by mass. Its empirical formula is
A solution is prepared by dissolving of in water and making the final volume up to . The concentration of the solution is
A compound has empirical formula and molar mass . Its molecular formula is
A sample contains of molecules. Use .
Calculate the number of molecules in the sample.
Calculate the total number of atoms in the sample.
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Use the following relative atomic masses: , and .
Determine the relative formula mass, , of .
Distinguish between relative formula mass and molar mass for .
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The number of oxide ions in of is
The chloride ion concentration in a solution containing of is
A sample of magnesium is heated in air to constant mass. The mass of magnesium oxide formed is . The empirical formula of the oxide is
A calibration curve gives for a solution prepared by diluting of an unknown solution to . The concentration of in the original unknown solution is
A sample of aluminium oxide, , has a mass of . Use and .
Calculate the amount, in mol, of formula units.
Calculate the number of formula units in the sample.
Calculate the amount and number of oxide ions, , in the sample.
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A student prepares of sodium carbonate solution, . Use .
Calculate the mass of anhydrous required.
Outline two features of good technique when transferring the solution into the volumetric flask.
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Carbon monoxide reacts with oxygen according to the equation:
of is mixed with of at the same temperature and pressure.
Calculate the volume of required to react exactly with the .
Identify the reagent in excess and calculate its excess volume.
Calculate the volume of produced.
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Equal volumes of and are compared at the same temperature and pressure. Under these conditions, of any gas contains molecules.
State Avogadro's law.
Calculate the number of molecules in of under these conditions.
Explain why a real gas may deviate from ideal behaviour.
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A solution of magnesium chloride, , has a mass concentration of . Use .
Calculate the molar concentration of .
Calculate the concentration of chloride ions, , in the solution.
Calculate the mass of needed to prepare of solution.
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A student compared samples containing different specified elementary entities. The table shows the amount or number of entities in each sample. Use .
| Sample | Specified entity | Amount / mol | Number of entities |
|---|---|---|---|
| Water sample | H2O molecules | 0.0250 | â |
| Sodium-ion sample | Na+ ions | â | 3.01 Ă 10^22 |
Calculate the number of water molecules in the sample of water.
Determine the amount, in mol, of sodium ions in the sample.
Calculate the total number of atoms present in the sample of water.
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The mass spectrum of an element contains two main isotopic peaks. The table gives the relative isotopic masses and percentage abundances.
| Isotopic peak | Relative isotopic mass | Abundance / % |
|---|---|---|
| 1 | 78.918 | 50.69 |
| 2 | 80.916 | 49.31 |
Determine the relative atomic mass, , of the element.
State why the value of has no unit.
Suggest why the relative atomic mass is not equal to either isotopic mass in the table.
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A calibration curve was prepared for aqueous copper(II) sulfate solutions using a colorimeter. An unknown solution gave an absorbance within the range of the standards.

Use the calibration curve to determine the concentration of the unknown solution.
Calculate the amount of in of this unknown solution.
Explain two techniques that improve the accuracy when preparing the standard solutions used for the calibration curve.
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For the reaction , of is mixed with of . The total gas volume after reaction, measured at the original temperature and pressure, is
A student heated magnesium in a crucible until the mass was constant.
Mass of empty crucible:
Mass of crucible and magnesium before heating:
Mass of crucible and product after heating:

Calculate the masses of magnesium and oxygen that combined.
Determine the empirical formula of the oxide formed.
Explain why the solid is heated to constant mass.
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A coloured solution, X, was too concentrated to measure directly. A student pipetted of X into a volumetric flask and made the solution up to the mark. The absorbance of the diluted solution was then measured and compared with a calibration curve.

Use the calibration curve to state the concentration of the diluted solution.
Calculate the concentration of the original solution X.
Explain why the original solution was diluted before using the calibration curve.
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Ethene burns completely in oxygen according to the equation:
of is mixed with of at the same temperature and pressure.
Identify the limiting reagent.
Calculate the volume of produced.
Calculate the volume of unreacted remaining.
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A compound contains carbon, hydrogen and oxygen by mass. Its molar mass is .
Determine the empirical formula of the compound.
Determine the molecular formula of the compound.
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A sample of anhydrous magnesium chloride was analysed. The table gives the mass of the sample and selected relative atomic masses.
| Quantity | Value | Units |
|---|---|---|
| Mass of MgCl2 sample | 0.476 | g |
| Relative atomic mass, Ar(Mg) | 24.31 | no units |
| Relative atomic mass, Ar(Cl) | 35.45 | no units |
Calculate the molar mass of .
Calculate the number of formula units of in the sample.
Determine the number of chloride ions represented by the formula units in the sample.
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Iron powder was heated strongly in a crucible until it formed an oxide. The mass data are shown.
| Measurement | Mass / g |
|---|---|
| Crucible | 22.348 |
| Crucible + iron powder | 23.468 |
| Crucible + oxide after heating | 23.948 |
Determine the mass of oxygen that combined with the iron.
Determine the empirical formula of the iron oxide.
Suggest how the empirical formula would be affected if heating was stopped before the reaction was complete.
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Nitrogen and hydrogen react to form ammonia according to the equation:
All gas volumes are measured at the same temperature and pressure. The graph shows trials in which of hydrogen was reacted with different volumes of nitrogen.

Determine the volume of nitrogen needed to react exactly with of hydrogen.
Calculate the maximum volume of ammonia formed.
Explain why mole ratios can be used as gas volume ratios in this experiment.
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A medicine label states that each tablet contains calcium carbonate, , as its active ingredient. The table shows the mass of calcium carbonate in one tablet and selected relative atomic masses.
| Item | Value |
|---|---|
| Mass of calcium carbonate in one tablet / g | 0.500 |
| Relative atomic mass of calcium, Ar(Ca) | 40.08 |
| Relative atomic mass of carbon, Ar(C) | 12.01 |
| Relative atomic mass of oxygen, Ar(O) | 16.00 |
Calculate the amount of formula units in one tablet.
Calculate the number of carbonate ions represented by this amount of .
Explain why the phrase âmoles of calcium carbonate moleculesâ is not appropriate for the solid in the tablet.
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A sample of an organic compound containing carbon, hydrogen and oxygen is completely combusted. The products are of and of . The molar mass of the compound is .
Determine the empirical formula of the compound.
Determine the molecular formula of the compound.
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A pure organic compound containing carbon, hydrogen and oxygen was completely combusted. The table shows the mass of the sample, the masses of combustion products and the molar mass of the compound.
| Mass of sample / g | Mass of CO2 produced / g | Mass of H2O produced / g | Molar mass of compound / g mol^-1 |
|---|---|---|---|
| 0.900 | 1.320 | 0.541 | 90.08 |
Calculate the amounts of carbon atoms and hydrogen atoms in the original sample.
Determine the empirical formula of the compound.
Determine the molecular formula of the compound.
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A student used serial dilution to prepare dilute potassium manganate(VII) solutions from a stock solution. A separate unknown sample was diluted before its absorbance was measured on the same calibration curve.

Calculate the concentration of the solution after the two serial dilution steps.
The diluted unknown had a concentration of from the calibration curve. Calculate the concentration of the original unknown solution.
Evaluate two features of the procedure that reduce uncertainty in the final concentration.
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A hydrated salt, , was heated to constant mass. The mass data and relative atomic masses are shown.
| Item | Mass / g | Relative atomic mass, Ar |
|---|---|---|
| Hydrated sample, MgSO4·xH2O | 2.46 | |
| After heating to constant mass, MgSO4 | 1.20 | |
| Mg | 24.31 | |
| S | 32.07 | |
| O | 16.00 | |
| H | 1.01 |
Calculate the mass of water lost during heating.
Determine the value of in .
Explain why the sample was heated, cooled and weighed repeatedly.
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A standard solution of aluminium sulfate, , was prepared by dissolving a measured mass of the solid and making the solution up to the mark in a volumetric flask.

Calculate the molar concentration of in the flask.
Determine and in the solution.
Calculate the mass concentration of in .
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A sealed vial contains of pure ethanol, . The Avogadro constant is .
This part is about the elementary entities present in the sample.
Calculate the number of ethanol molecules in the vial.
Calculate the total number of hydrogen atoms in the vial.
Explain why the number of moles of ethanol molecules is different from the number of moles of atoms in the same sample.
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A student heats a sample of magnesium ribbon in a crucible to determine the empirical formula of magnesium oxide. The lid is lifted occasionally during heating and the crucible is heated, cooled and weighed until constant mass is obtained. The initial mass of magnesium is and the final mass of magnesium oxide is .

The experimental masses are shown below.
Initial mass of magnesium:
Final mass of magnesium oxide:
Calculate the amount, in mol, of magnesium used.
Calculate the amount, in mol, of oxygen atoms that combined with the magnesium.
Determine the empirical formula of the oxide.
Evaluate two features of the procedure that improve the validity of the empirical formula obtained.
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A technician prepares a standard solution of sodium carbonate, , to use in an acid-base titration. A mass of of anhydrous is dissolved and made up to in a volumetric flask.

This part is about the concentration of the standard solution.
Calculate the molar mass of .
Calculate the amount, in mol, of used.
Calculate in .
Discuss why a volumetric flask is used rather than a measuring cylinder when preparing this solution.
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A stock solution of copper(II) sulfate, , has concentration . A student prepares a diluted solution by transferring of the stock solution into a volumetric flask and making up to the mark with deionized water.

This part is about the dilution calculation.
Calculate the amount, in mol, of transferred from the stock solution.
Calculate the concentration of the diluted solution.
Discuss why the concentration is not calculated using the volume of water added to the flask.
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A gaseous hydrocarbon, , was completely combusted in oxygen. The water formed was condensed before the final gas volume was measured. All gas volumes in the table were measured at the same temperature and pressure before condensation or after cooling as stated.
| Gas | Volume / cm^3 |
|---|---|
| Hydrocarbon, CxHy | 20 |
| Oxygen | 50 |
| Carbon dioxide | 40 |
Determine the value of in .
Determine the value of in .
State the formula of the hydrocarbon and justify the use of gas volumes in the calculation.
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Nitrogen monoxide reacts with oxygen to form nitrogen dioxide. A mixture of of and of is reacted.
All gas volumes in this question are measured at the same temperature and pressure.
of is mixed with of .
Determine the limiting reactant using Avogadro's law.
Calculate the volume of formed.
Calculate the total volume of gas remaining after reaction, assuming the reaction goes to completion.
Explain why gas volumes can be used directly in this calculation without converting the volumes into masses.
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A compound containing only carbon, hydrogen and oxygen is analysed by complete combustion. A sample produces of and of . The molar mass of the compound is .
This part is about using the combustion data to determine the formula.
Calculate the amount, in mol, of carbon atoms in the original sample.
Calculate the amount, in mol, of hydrogen atoms in the original sample.
Determine the empirical formula of the compound.
Evaluate whether the molecular formula is consistent with the given molar mass.
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A colorimeter is used to determine the concentration of an unknown nickel(II) sulfate solution. Standard solutions are prepared by diluting a stock solution. The absorbance of the unknown solution is measured after it is diluted by transferring of the unknown to a volumetric flask and making up to the mark.

The calibration line gives a concentration of for the diluted unknown.
Calculate the dilution factor used for the unknown solution.
Calculate the concentration of the original unknown solution.
Calculate the mass concentration, in , of in the original unknown solution.
Evaluate why diluting the unknown before measuring absorbance may improve the reliability of the concentration determined from the calibration curve.
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A hydrated salt has formula , where is a metal ion. A sample of the hydrate is heated to constant mass. The mass of anhydrous remaining is . A separate analysis shows that the molar mass of the anhydrous salt is .
This part is about determining the value of .
Calculate the amount, in mol, of anhydrous present after heating.
Calculate the amount, in mol, of water lost on heating.
Determine in .
Discuss how incomplete removal of water would affect the calculated value of .
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Aluminium reacts with chlorine to form aluminium chloride.
A sample of aluminium with mass is reacted with excess chlorine.
This part is about linking mass, amount and particles.
Calculate the amount, in mol, of aluminium used.
Calculate the mass of formed.
Calculate the number of chloride ions in the produced.
Explain why the balanced equation gives mole ratios rather than mass ratios.
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Ammonia reacts with oxygen over a catalyst to form nitrogen monoxide and steam.
of is mixed with of at the same temperature and pressure.
Assume all products remain gaseous and the reaction goes to completion.
Determine the limiting reactant.
Calculate the volumes of and formed.
Calculate the total final gas volume.
Discuss one limitation of applying volume ratios directly if one of the substances in a chemical equation is not a gas.
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A gaseous hydrocarbon contains only carbon and hydrogen. Complete combustion of of the hydrocarbon produces of and of . The molar mass of the hydrocarbon is found to be approximately .
This part is about formula determination from combustion analysis.
Calculate the amount, in mol, of carbon atoms and hydrogen atoms in the original hydrocarbon sample.
Determine the empirical formula.
Determine the molecular formula using the molar mass.
Evaluate the importance of approximation when converting experimental mole ratios into a formula.
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A compound used as a fertilizer contains ammonium ions and sulfate ions and has formula . A manufacturer claims that a bag contains of nitrogen.
This part is about the mass composition of ammonium sulfate.
Calculate the relative formula mass, , of .
Calculate the percentage by mass of nitrogen in pure .
Calculate the expected mass of nitrogen in a bag of pure .
Evaluate the manufacturer's claim, referring to the difference between relative formula mass and molar mass.
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