The masses of atoms can be compared to each other more easily than they can be c
ID: 1023181 • Letter: T
Question
The masses of atoms can be compared to each other more easily than they can be compared to the kilogram. Thus, we can define a new mass standard: the atomic mass unit. This unit is defined as one-twelfth the mass of the carbon-12 atom. The relation between this unit and the standard kilogram is: 1u = 1.6605402 x10-27 kg. Given that 2.322547x10-3 is the fraction of the Sun's mass that is carbon-12, about how many carbon-12 atoms are in the Sun?
(Please let me know what other information is needed. this is everything given in the question.)
Explanation / Answer
Fraction of C-12 in the sun = 2.32 * 10^-3
Mass of fraction of C-12 in the sun = 2.32 * 10^-3 * 1.66 * 10^-24
= 3.85 * 10^-27g
Since mass of 1 u C-12 = 1.66 * 10 ^-27 kg
= 1.66 * 10^ -24 g
Mass of C-12 =12/6.022 * 10-23 = 1.99 * 10^-23 g
No of C-12 atoms in the sun = mass of fraction of C-12 in the sun / mass of one C-12
= 3.85 * 10^-27 / 1.99 * 10^-23
= 1.93 * 10^-4 atoms
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