Edexcel A-Level Chemistry AS B 0 Arithmetic and Numerical Computation Questions

Practise Edexcel A-Level Chemistry arithmetic and numerical computation through percentage composition, density, yield, molar-ratio and unit-conversion calculations.

Syllabus
Pearson Edexcel International Advanced Subsidiary/Advanced Level
Course
Chemistry XCH11/YCH11
Level
AS

Exam points

  • calculate percentage composition by mass from formulae, repeat units or molar masses
  • use density, volume and mass relationships across cm3, dm3, g and tonnes
  • work through yield, percentage error and molar-ratio calculations with correct rounding

Question 1

[Maximum number: 3]

Many cars use fuels containing ethanol as well as hydrocarbons. The E numbers of these fuels show the percentage by volume of ethanol in the fuel. For example, an E5 fuel contains 5% ethanol and 95% hydrocarbons by volume.

Question (a)

(a)

A brand of E10 fuel contains 92.2% hydrocarbons and 7.80% ethanol by mass.

The energy density is the amount of energy released per kg of a fuel burned. The energy densities of the two components of this brand of fuel are shown.

energy density of hydrocarbons=46.5  MJ kg−1=46.5\;\mathrm{MJ}\,\mathrm{kg}^{-1}
energy density of ethanol=29.7  MJ kg−1=29.7\;\mathrm{MJ}\,\mathrm{kg}^{-1}
[ 3 ]

Question (i)

(i)

Calculate the mean energy density of this E10 fuel in MJ kg −1{ }^{-1}.

Give your answer to an appropriate number of significant figures.

[ 2 ]

Question (ii)

(ii)

The density of the E 10 fuel is 0.729 g cm−30.729 \mathrm{~g} \mathrm{~cm}^{-3}.

Calculate the mass of 1500 cm31500 \mathrm{~cm}^{3} of the fuel.

[ 1 ]

Question 2

[Maximum number: 1]

Many cars use fuels containing ethanol as well as hydrocarbons. The E numbers of these fuels show the percentage by volume of ethanol in the fuel. For example, an E5 fuel contains 5% ethanol and 95% hydrocarbons by volume.

A brand of E10 fuel contains 92.2% hydrocarbons and 7.80% ethanol by mass.

The energy density is the amount of energy released per kg of a fuel burned. The energy densities of the two components of this brand of fuel are shown.

energy density of hydrocarbons=46.5  MJ kg−1=46.5\;\mathrm{MJ}\,\mathrm{kg}^{-1}
energy density of ethanol=29.7  MJ kg−1=29.7\;\mathrm{MJ}\,\mathrm{kg}^{-1}

The density of the E 10 fuel is 0.729 g cm−30.729 \mathrm{~g} \mathrm{~cm}^{-3}.

Calculate the mass of 1500 cm31500 \mathrm{~cm}^{3} of the fuel.

Question 3

[Maximum number: 2]

Many cars use fuels containing ethanol as well as hydrocarbons. The E numbers of these fuels show the percentage by volume of ethanol in the fuel. For example, an E5 fuel contains 5% ethanol and 95% hydrocarbons by volume.

A brand of E10 fuel contains 92.2% hydrocarbons and 7.80% ethanol by mass.

The energy density is the amount of energy released per kg of a fuel burned. The energy densities of the two components of this brand of fuel are shown.

energy density of hydrocarbons=46.5  MJ kg−1=46.5\;\mathrm{MJ}\,\mathrm{kg}^{-1}
energy density of ethanol=29.7  MJ kg−1=29.7\;\mathrm{MJ}\,\mathrm{kg}^{-1}

Calculate the mean energy density of this E10 fuel in MJ kg −1{ }^{-1}.

Give your answer to an appropriate number of significant figures.

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