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Exoplanet bulk-composition ternary diagram
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 315
/
4
/
d
/
Solution
Created
2026-09-24
Updated
2026-09-25
View more
The
mass
fractions
of the
10
M
⊕
planet
are
x
iron
=
0.4
,
x
silicate
=
0.4
,
x
H
2
=
0.2
.
(1)
On an
exoplanet bulk-composition ternary diagram
with
iron
, silicate, and
hydrogen
vertices
, it lies in the interior on the line of equal
iron
and silicate
fractions
, one fifth of the way from the
iron
-silicate edge toward the
hydrogen
vertex
.
Neglecting its atmosphere and minor volatile reservoirs,
Earth
lies on the
iron
-silicate edge at approximately
(
x
iron
,
x
silicate
,
x
H
2
)
s
im
e
q
(
0.32
,
0.68
,
0
)
.
(2)
Total
articles
:
1