Question

The mass of the Sun is 1.99 × 10^30 kg, and the mass of an atom of hydrogen, of which the Sun is mostly composed, is 1.67 × 10^27 kg. How many atoms are there in the Sun?

Answer 1

Explanation:

very simple

let there be n atoms of hydrogen in the sun

then mass of sun is n × mH

where mH is mass of 1 atom of hydrogen

but we know

mS = 1.99 × 10 ^ 30 as given

hence n = 1.99 × 10 ^30 / 1.67 × 10 ^-27

so n is

1.19 × 10 ^ 57

Answer 2

The answer is 1,190

GIVEN

The mass of the Sun is 1.99 × 10³⁰ kg, and the mass of an atom of hydrogen, of which the Sun is mostly composed, is 1.67 × 10²⁷ kg.

TO FIND

Number of Hydrogen atoms in the Sun.

SOLUTION

We can simply solve the above problem as follows;

It is given that The Sun is mostly composed of Hydrogen atoms, So we will assume that The sun is composed of Hydrogen atoms to calculate the total number of atoms.

Now,

Mass of 1 Atom = 1.67 × 10²⁷ kg

Number of atoms weighing 1.99 × 10³⁰ kg =

$= \frac{1}{1.67 \times {10}^{30} } \times 1.99 \times 10^{30}$

$= \frac{1.99 \times 10^{30} \times {10}^{ - 27} }{ 1.67}$

We know that when base are same the exponents are added.

Dividing 1.99 by 1.6

= 1.19 × 10³

= 1,190

Hence, The answer is 1,190

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