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Chapter 0: Problem 119

The mass of one oxygen molecule is \(5.3 \times 10^{-23}\) gram. Find the mass of \(20,000\) molecules of oxygen. Express the answer in scientific notation.

Short Answer

Expert verified
The mass of \(20,000\) oxygen molecules is \(1.06 \times 10^{-19} g\).

Step by step solution

01

Understand the Problem

Given is the mass of one oxygen molecule which is \(5.3 \times 10^{-23}\) gram. The task is to find the mass of \(20,000\) such molecules.
02

Apply Basic Multiplication

To find the total mass, multiply the given mass of one molecule by the number of molecules. This gives \(5.3 \times 10^{-23} g/molecule \times 20000 \, molecules\)
03

Calculation

Multiplying \(5.3 \times 10^{-23}\) by \(20000\) gives \(1.06 \times 10^{-19} g\)
04

Convert to Scientific Notation

Finally, we rewrite this number in scientific notation. We want the number in front of the multiplication sign to be between 1 and 10, so we move the decimal point 2 places to the left which gives \(1.06 \times 10^{-19} g\)

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