How many grams in 5.033x10^24 atoms of Oxygen

To determine the mass in grams of \( 5.033 \times 10^{24} \) atoms of oxygen, we can use the following steps:

### Step 1: Determine the molar mass of oxygen
The molar mass of oxygen (O) is approximately 16 grams per mole. This means that 1 mole of oxygen atoms weighs 16 grams.

### Step 2: Calculate the number of moles from atoms
To convert the number of atoms to moles, we use Avogadro's number, which is \( 6.022 \times 10^{23} \) atoms/mole. The formula is:

\[
\text{Number of moles} = \frac{\text{Number of atoms}}{\text{Avogadro's number}}
\]

Plugging in the values:

\[
\text{Number of moles} = \frac{5.033 \times 10^{24}}{6.022 \times 10^{23}}
\]

### Step 3: Calculate the mass in grams
The mass in grams is calculated by multiplying the number of moles by the molar mass of oxygen:

\[
\text{Mass (grams)} = \text{Number of moles} \times 16
\]

Let's compute the result.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you'd like to continue manually, here's a summary of the steps:

1. **Find the number of moles:**  
   \(\text{Number of moles} = \frac{5.033 \times 10^{24}}{6.022 \times 10^{23}} \approx 8.36\) moles.
  
2. **Calculate the mass in grams:**  
   Multiply by the molar mass of oxygen:  
   \(8.36 \times 16 \approx 133.76\) grams.

Let me know if you need more details or have any questions.

### Related Questions:
1. How do you convert moles to mass for different elements?
2. What is the significance of Avogadro's number in chemistry?
3. How would this calculation change for a molecule like \(O_2\)?
4. What are some common molar masses for elements in the periodic table?
5. How can we experimentally determine Avogadro’s number?

### Tip:
When converting atoms to grams, always start by finding the number of moles using Avogadro's number and then multiply by the molar mass.

How many grams in 5.033x10^24 atoms of Oxygen?

Learn how to calculate the mass in grams of 5.033x10^24 atoms of oxygen using Avogadro's number and the molar mass of oxygen. This detailed explanation covers key stoichiometric concepts, suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation