IB Maths AI HL AI 1.3 Exponents, logarithms and equations questions

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Question 1

Paper 1Easy6 marks

A laboratory compares the hydrogen ion concentrations of two aqueous solutions. Figure 1 shows the measured concentrations. For these solutions, the one with the greater hydrogen ion concentration is more acidic.

For the pH calculations, use

pH=−log⁡10(C),\mathrm{pH}=-\log_{10}(C),

where CC is the numerical value of the hydrogen ion concentration in mol dm−3\mathrm{mol\,dm^{-3}}

Solution ASolution BHydrogen ionconcentration =0.000032mol dm-3Hydrogen ionconcentration =0.00000080mol dm-3
(a)

Write down the hydrogen ion concentration of solution B in standard form, including its unit.

[1]
(b)

Calculate the pH of solution A, giving your answer to 2 decimal places.

[2]
(c)

Determine the ratio of the hydrogen ion concentration of solution A to that of solution B, giving your answer in standard form.

[2]
(d)

Hence state which solution is more acidic.

[1]

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