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A solution of lead(II) chloride (M_r = 278.2) contains 1.08 g of PbCl₂ in 100 cm³ of solution - AQA - A-Level Chemistry - Question 26 - 2017 - Paper 3

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A solution of lead(II) chloride (M_r = 278.2) contains 1.08 g of PbCl₂ in 100 cm³ of solution. In this solution, the lead(II) chloride is fully dissociated into ions... show full transcript

Worked Solution & Example Answer:A solution of lead(II) chloride (M_r = 278.2) contains 1.08 g of PbCl₂ in 100 cm³ of solution - AQA - A-Level Chemistry - Question 26 - 2017 - Paper 3

Step 1

Calculate the number of moles of PbCl₂

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Answer

To find the number of moles of PbCl₂, use the formula:
Number of moles=massmolar mass\text{Number of moles} = \frac{\text{mass}}{\text{molar mass}}
Given that the molar mass of PbCl₂ is 278.2 g/mol and the mass is 1.08 g:
Number of moles of PbCl₂=1.08278.2=0.00388 mol\text{Number of moles of PbCl₂} = \frac{1.08}{278.2} = 0.00388 \text{ mol}

Step 2

Determine the number of moles of chloride ions produced

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Answer

Since one mole of PbCl₂ produces two moles of chloride ions (Cl⁻):
Number of moles of Cl=2×Number of moles of PbCl₂=2×0.00388=0.00776 mol\text{Number of moles of Cl}^- = 2 \times \text{Number of moles of PbCl₂} = 2 \times 0.00388 = 0.00776 \text{ mol}

Step 3

Calculate the concentration of chloride ions

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Answer

Concentration is defined as the number of moles per unit volume. Here, we have the total volume as 100 cm³, which is equivalent to 0.1 dm³. Therefore, the concentration of chloride ions is:
Concentration (mol dm3)=Number of moles of Clvolume (dm3)=0.007760.1=0.0776 mol dm3\text{Concentration (mol dm}^{-3}\text{)} = \frac{\text{Number of moles of Cl}^{-}}{\text{volume (dm}^{3}\text{)}} = \frac{0.00776}{0.1} = 0.0776 \text{ mol dm}^{-3}
This can be expressed as:
7.76×102 mol dm37.76 \times 10^{-2} \text{ mol dm}^{-3}

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