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Use the data in Table 1 to calculate a value for the electron affinity of chlorine - AQA - A-Level Chemistry - Question 1 - 2020 - Paper 1

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Use the data in Table 1 to calculate a value for the electron affinity of chlorine. **Table 1** shows some thermodynamic data. First ionisation energy of strontium... show full transcript

Worked Solution & Example Answer:Use the data in Table 1 to calculate a value for the electron affinity of chlorine - AQA - A-Level Chemistry - Question 1 - 2020 - Paper 1

Step 1

Calculate the electron affinity of chlorine

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Answer

To find the electron affinity ( E_a ight) of chlorine using Hess's law, we start with the enthalpy change equation for the formation of an ionic compound:

extEnthalpyofformation=extLatticeenergy+extEnthalpyofatomisationofcations+extIonisationenergiesextElectronaffinity ext{Enthalpy of formation} = ext{Lattice energy} + ext{Enthalpy of atomisation of cations} + ext{Ionisation energies} - ext{Electron affinity}

For strontium chloride (SrCl₂), we can express this as:

extEnthalpyofformationofSrCl2=extEnthalpyoflatticeformation+extEnthalpyofatomisationofSr+2imesextIonisationenergyofSr+2imesextElectronaffinityofCl ext{Enthalpy of formation of SrCl₂} = ext{Enthalpy of lattice formation} + ext{Enthalpy of atomisation of Sr} + 2 imes ext{Ionisation energy of Sr} + 2 imes ext{Electron affinity of Cl}

Plugging in the known values from Table 1, we can rearrange the equation to isolate the electron affinity:

828=2112+164+2(548)+2Ea-828 = -2112 + 164 + 2(548) + 2E_a

Calculating the left side gives:

828=2112+164+1096+2Ea-828 = -2112 + 164 + 1096 + 2E_a 828=852+2Ea-828 = -852 + 2E_a

Now solving for 2Ea2E_a:

2Ea=828+8522E_a = -828 + 852 2Ea=242E_a = 24

Dividing by 2:

Ea=12extkJmol1E_a = 12 ext{ kJ mol}^{-1}

Therefore, the electron affinity of chlorine is approximately:

Electron Affinity of Chlorine: 12 kJ mol⁻¹

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