Convert 3.01 x 10 exponent 23 molecules of C2H6 to moles. can someone teach me too- this was my hardest TvT
The Correct Answer and Explanation is:
To convert 3.01×10233.01 \times 10^{23}3.01×1023 molecules of C2H6C_2H_6C2H6 (ethane) to moles, you need to understand the relationship between molecules and moles.
- Avogadro’s Number: This is the key constant you’ll use. It tells you how many molecules are in one mole of any substance. Avogadro’s number is: 6.022×1023 molecules/mole6.022 \times 10^{23} \, \text{molecules/mole}6.022×1023molecules/mole
- Convert molecules to moles: To convert molecules into moles, you divide the number of molecules by Avogadro’s number. The formula looks like this: Moles of C2H6=Number of molecules of C2H6Avogadro’s number\text{Moles of } C_2H_6 = \frac{\text{Number of molecules of } C_2H_6}{\text{Avogadro’s number}}Moles of C2H6=Avogadro’s numberNumber of molecules of C2H6 Plugging in the numbers: Moles of C2H6=3.01×10236.022×1023 moles\text{Moles of } C_2H_6 = \frac{3.01 \times 10^{23}}{6.022 \times 10^{23}} \, \text{moles}Moles of C2H6=6.022×10233.01×1023moles
- Simplify: When you divide the exponents, you get: Moles of C2H6=0.5 moles\text{Moles of } C_2H_6 = 0.5 \, \text{moles}Moles of C2H6=0.5moles
So, 3.01×10233.01 \times 10^{23}3.01×1023 molecules of C2H6C_2H_6C2H6 is equal to 0.5 moles of ethane.
Explanation:
- Avogadro’s number represents the number of molecules or atoms in one mole of any substance.
- When you have a number of molecules (in this case, 3.01×10233.01 \times 10^{23}3.01×1023), you can divide by Avogadro’s number to find how many moles it represents.
- The result shows that you have half a mole (0.5 moles) of C2H6C_2H_6C2H6, since 3.01×10233.01 \times 10^{23}3.01×1023 is about half of 6.022×10236.022 \times 10^{23}6.022×1023.
It’s all about using Avogadro’s number to convert between molecules and moles! It might be tricky at first, but once you understand the concept, it gets easier.
