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Chapter 0: Problem 98

The mass of one hydrogen atom is \(1.67 \times 10^{-24}\) gram. Find the mass of \(80,000\) hydrogen atoms. Express the answer in scientific notation.

Short Answer

Expert verified
The mass of 80,000 hydrogen atoms is \(1.336 \times 10^{-19}\) gram.

Step by step solution

01

Identify given quantities

The mass of one hydrogen atom is given as \(1.67 \times 10^{-24}\) gram. This means every single hydrogen atom weighs this much. You also know that there are 80,000 hydrogen atoms.
02

Calculate the total mass

To find the total mass of 80,000 atoms, multiply the mass of one hydrogen atom by 80,000. This means \(1.67 \times 10^{-24}\) gram multiplied by \(80,000\) which equals to \(1.336 \times 10^{-19}\) gram.
03

Express the answer in scientific notation

Express the total mass \(1.336 \times 10^{-19}\) gram in scientific notation. The answer in scientific notation is \(1.336 \times 10^{-19}\) gram.

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