Some substances have the same chemical composition, but their atoms are arranged differently. A classic example is carbon. A pen
2 answers:
No, the density of diamond and graphite would not be the same
Explanation:
What is density?
Density is the amount of substance per unit volume. It is simply mass divided by volume.
Density is greatly influenced by the way substances are packed.
Substances that are well packed will have lower volume for the same amount of matter than another that is poorly packed.
- The carbon atoms in graphite are poorly packed. They are arranged layers upon layers.
- Diamond carbon atoms have a cross-linked networked pattern. They are well packed.
- For the same mass of matter, graphite will take up more space than diamond.
Since:
Density =
The one that has a lesser volume will have a higher density.
Therefore diamond will have a higher density.
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Answer:
(a) Apparent magnitude is the perceived brightness of an astronomical object
Absolute magnitude is the luminosity based on viewing an object from a 32.6 light-years distance
Bolometric magnitude is the total emitted radiation of a star
(b) The apparent magnitude of the star Tau Ceti = 3.51
(c) The distance between the Earth and Tau Ceti is 1.13 × 10¹⁴ km
Explanation:
(a) Apparent magnitude is an estimate of an astronomical objects' brightness as the object is perceived from the Earth
The absolute magnitude is the magnitude an object appears to have when viewed from a 32.6 light-years distance while having constant transfer of its luminosity that is not affected by cosmic dust and objects present in the line of sight
The bolometric magnitude of a star is the sum total of the star's radiation released over all electromagnetic spectrum wavelengths
(b) The apparent magnitude of the star Tau Ceti is found using the following equation;
Where:
m₁ = Apparent magnitude of Tau Ceti
m₂ = Apparent magnitude of Sirius = -1.46
B₁ = Brightness of Tau Ceti
B₂ = Brightness of Sirius
Hence we have;
m₁ = -1.46 + 2.512 × log(95) = 3.51
The apparent magnitude of the star Tau Ceti = 3.51
(c) The distance between the Earth and Tau Ceti is found using the following equation;
Where:
m = Apparent magnitude of Tau Ceti
M = Absolute magnitude of Tau Ceti = 5.69
d = The distance between the Earth and Tau Ceti
Which gives;
d = 10 × 0.3664 = 3.664 parsecs = 3.664 × 3.0857 × 10¹⁶ m
d = 1.13 × 10¹⁴ km.