ATARMAxxing · Physical Sciences
TCE Physical Sciences Practice Questions
64 exam-style questions · full worked solutions
The 64 practice questions inside the TCE Physical Sciences Mastery Pack, grouped by area of study. Every question comes with a full worked solution.
- Properties of atoms and nuclear reactions
- Multiple choice × 10
- Calculate × 1
- Explain × 1
- Write × 1
- Motion and force
- Multiple choice × 10
- Determine × 1
- Sketch × 1
- Calculate × 1
- Conservation in physics
- Multiple choice × 10
- Calculate × 1
- Explain × 1
- Determine × 1
- Chemical structures and properties
- Multiple choice × 9
- Name × 1
- Write × 1
- Explain × 1
- Identify × 1
- Chemical reactions and reacting quantities
- Multiple choice × 9
- Calculate × 1
- Determine × 1
- Justify × 1
Sample question
A mass spectrum of naturally occurring magnesium shows three isotopes with the following abundances: magnesium-24, 78.99%; magnesium-25, 10.00%; magnesium-26, 11.01%. Using the mass numbers as the isotopic masses, calculate the relative atomic mass of magnesium. Give your answer to four significant figures.
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Answer: Worked solution
Relative atomic mass is the weighted average of the isotopic masses, so multiply each mass number by its percentage abundance and divide by 100.
A(r) = [(24 x 78.99) + (25 x 10.00) + (26 x 11.01)] / 100
A(r) = (1895.76 + 250.0 + 286.26) / 100
A(r) = 2432.02 / 100
A(r) = 24.32
Relative atomic mass has no unit, because it is a ratio of the weighted average mass per atom to 1/12 the mass of an atom of carbon-12 — do not write g mol^-1 here. The answer sits very close to magnesium-24 because that isotope makes up almost four-fifths of the sample, which is a quick sanity check that the weighting has been applied the right way round. The value on the periodic table is 24.31; the small difference arises because this calculation used whole-number mass numbers rather than the exact isotopic masses.
Included in the TCE Physical Sciences Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
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