Problem 97
Question
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.
Step-by-Step Solution
Verified Answer
The mass of 20,000 oxygen molecules is \(1.06 \times 10^{-18}\) grams.
1Step 1: Understand the given values
The given mass of one oxygen molecule is \(5.3 \times 10^{-23}\) grams. We are asked to find the mass of \(20,000\) molecules. So, we are to calculate the total mass of the molecules.
2Step 2: Perform the calculation
We multiply the given mass of a molecule by the number of molecules for which we're trying to find the total mass. This will give us \(5.3 \times 10^{-23} \times 20,000\). Using the rule of multiplying decimal numbers, we get \(1.06 \times 10^{-18}\) grams.
3Step 3: Express the answer in scientific notation
The result above is already in scientific notation, so no further manipulation is required. Our final answer is \(1.06 \times 10^{-18}\) grams.
Other exercises in this chapter
Problem 97
In Exercises \(95-102,\) simplify by reducing the index of the radical. $$\sqrt[3]{x^{6}}$$
View solution Problem 97
A rock is dropped from the top of a 256 -foot cliff. The height, in feet, of the rock above the water after \(t\) seconds is described by the polynomial \(256-1
View solution Problem 98
The common cold is caused by a rhinovirus. The polynomial $$0.75 x^{4}+3 x^{3}+5$$ describes the billions of viral particles in our bodies after \(x\) days of i
View solution Problem 98
In Exercises \(95-102,\) simplify by reducing the index of the radical. $$\sqrt[4]{x^{12}}$$
View solution