A sample of iron contains three different isotopes and has a relative atomic mass, Ar, of 55.8.
- (a)(i)Define relative atomic mass.[2]
- (a)(ii)Table 2.1 shows the abundances of two of the isotopes present in the sample of iron. Table 2.1 isotope | relative isotopic mass | abundance/% 54Fe | 53.9 | 6.0 56Fe | 55.9 | 91.9 Use Table 2.1 to calculate the relative isotopic mass of the third isotope of iron in the sample. Show your working.[2]
- (b)Deduce the number of pairs of electrons in the 3d sub-shell in an iron(II) ion.[1]
- (c)Sketch the shape of the lowest energy orbital in the shell with principal quantum number n = 2.[1]
- (d)Complete Table 2.2 to show information about particles in one ion of 56Fe3+. Table 2.2 particle | number of particles present in one ion of 56Fe3+ electrons | neutrons | 30[2]
- (e)The atomic radius of iron is 1.26 × 10–10m. Suggest the change to the radius, if any, after an iron atom reacts to produce an Fe3+ ion. Explain your answer.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.
- 2(a)(i) M1 average (weighted) mass of (an) atom(s) (of an element) OR average (weighted) mass of the isotope(s) (of an element)
- 2(a)(i) M2 compared to the mass of the unified atomic mass unit OR on a scale in which a carbon-12 atom / isotope has a mass of exactly 12 (units) OR on a scale in which the mass of a carbon-12 atom/isotope is exactly 12 (units) OR compared to 1/12 mass of one atom of C-12
- 2(a)(i) route 2 M1 average mass of one mol of isotopes / atoms (of an element)
- 2(a)(i) route 2 M2 relative / compared to 1/12 of the mass of one mol of C-12 atoms/isotopes OR when the mass of one mol C-12 atoms / isotopes is exactly 12 (000) g
- 2(a)(ii) M1 relative abundance of unknown isotope = (100 – 91.9 – 6.0) = 2.1%
- 2(a)(ii) M2 55.8 = (53.9 × 6.0 + 55.9 × 91.9 + ? × M1) / 100 = 56.9
- 2(b) 1 (pair)
- 2(c) [diagram of a spherical orbital]
- 2(d) M1 23
- 2(d) M2 neutrons 30
- 2(e) M1 smaller/decreases
- 2(e) M2 loss of outer / valence shell (of electrons) OR loss of electrons so increase in (force of) attraction from nucleus OR loss of electrons so increase nuclear attraction
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