Subjects physics

Hydrogen Atoms Ce12A4

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1. **State the problem:** Calculate how many hydrogen atoms are in the sun given that the mass of hydrogen in the sun is about $1.5 \times 10^{30}$ kilograms. 2. **Formula and constants:** The number of atoms is found by dividing the total mass by the mass of one hydrogen atom. $$\text{Number of atoms} = \frac{\text{Total mass of hydrogen}}{\text{Mass of one hydrogen atom}}$$ The mass of one hydrogen atom is approximately $1.7 \times 10^{-27}$ kilograms. 3. **Substitute the values:** $$\frac{1.5 \times 10^{30}}{1.7 \times 10^{-27}}$$ 4. **Simplify the expression:** $$= \frac{1.5}{1.7} \times 10^{30 - (-27)} = \frac{1.5}{1.7} \times 10^{57}$$ 5. **Calculate the fraction:** $$\frac{1.5}{1.7} \approx 0.8823529412$$ 6. **Final result:** $$0.8823529412 \times 10^{57} = 8.823529412 \times 10^{56}$$ **Answer:** There are approximately $8.82 \times 10^{56}$ hydrogen atoms in the sun.