Problem 98
Question
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.
Step-by-Step Solution
Verified Answer
The mass of 80,000 hydrogen atoms is \(1.336 \times 10^{-19}\) gram.
1Step 1: 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.
2Step 2: 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.
3Step 3: 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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