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A sample of nickel was dissolved in nitric acid to produce a solution with a volume of 50.00 mL - HSC - SSCE Chemistry - Question 14 - 2021 - Paper 1

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A sample of nickel was dissolved in nitric acid to produce a solution with a volume of 50.00 mL. 10.00 mL of this solution was then diluted to 250.0 mL. This solutio... show full transcript

Worked Solution & Example Answer:A sample of nickel was dissolved in nitric acid to produce a solution with a volume of 50.00 mL - HSC - SSCE Chemistry - Question 14 - 2021 - Paper 1

Step 1

Determine the concentration from the absorbance

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Answer

Using the calibration curve, locate the absorbance value of 0.30. The corresponding concentration can be interpolated or read directly from the curve. Let's assume the concentration obtained is approximately 0.0015 mol L⁻¹.

Step 2

Calculate the amount of nickel in the diluted solution

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Answer

Using the concentration calculated above and the total volume of the diluted solution:

Number of moles=extConcentration×extVolume=0.0015mol L1×0.250L=0.000375mol\text{Number of moles} = ext{Concentration} \times ext{Volume} = 0.0015 \, \text{mol L}^{-1} \times 0.250 \, \text{L} = 0.000375 \, \text{mol}

Step 3

Convert moles to mass

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To find the mass of nickel, use the molar mass of nickel (approximately 58.69 g/mol):

Mass=Number of moles×Molar mass=0.000375mol×58.69g/mol0.022g\text{Mass} = \text{Number of moles} \times \text{Molar mass} = 0.000375 \, \text{mol} \times 58.69 \, \text{g/mol} \approx 0.022 \, \text{g}

Step 4

Calculate the mass from the original solution

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Answer

Next, consider the dilution factor:

The original solution was 10.00 mL, which was diluted to 250.0 mL, leading to a dilution factor of:

Dilution Factor=250.0mL10.0mL=25\text{Dilution Factor} = \frac{250.0 \, \text{mL}}{10.0 \, \text{mL}} = 25

Thus, the mass of nickel in the original sample is:

Massoriginal=0.022g×25=0.55g\text{Mass}_{\text{original}} = 0.022 \, \text{g} \times 25 = 0.55 \, \text{g}

Step 5

Choose the closest answer option

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Answer

Considering the options available, the closest value is:

D. 0.15 g.

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