Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

about 75% of the sun’s mass comes from hydrogen, which amounts to about…

Question

about 75% of the sun’s mass comes from hydrogen, which amounts to about 1.5×10^30 kilograms of hydrogen. use this mass to calculate how many hydrogen atoms are in the sun. which scientist do you agree with? 1.5e30÷1.7e - 27 8.823529412e56 (1.5×10^30)÷(1.7×10^ - 27) 8.823529412e + 56 1.5×10^30÷1.7×10^ - 27 882.3529412

Explanation:

Step1: Recall mass - of - one hydrogen atom

The mass of one hydrogen atom is approximately $1.7\times10^{- 27}$ kilograms.

Step2: Calculate number of atoms

We use the formula $n=\frac{M}{m}$, where $M = 1.5\times10^{30}$ kg (total mass of hydrogen in the sun) and $m = 1.7\times10^{-27}$ kg (mass of one hydrogen atom). So $n=\frac{1.5\times10^{30}}{1.7\times10^{-27}}$.
Using the rule of exponents $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$, we have $\frac{1.5}{1.7}\times10^{30-(-27)}=\frac{1.5}{1.7}\times10^{57}\approx0.882\times10^{57}=8.82\times10^{56}$ atoms.

Answer:

There are approximately $8.82\times10^{56}$ hydrogen atoms in the sun.