3 M; 6 74 How many molecules are in 0.400 moles of N2O5? Given: 0.400 moles of N2O5 Unknown: molecules in N2O5 2.09 x 10^23 molecules
The Correct Answer and Explanation is:
To find the number of molecules in 0.400 moles of N2O5N_2O_5N2O5, we need to use Avogadro’s constant. This constant tells us the number of molecules in one mole of a substance, which is approximately:6.022×1023 molecules/mole6.022 \times 10^{23} \, \text{molecules/mole}6.022×1023molecules/mole
Step-by-Step Calculation:
Given:
- 0.400 moles of N2O5N_2O_5N2O5
- Avogadro’s constant = 6.022×1023 molecules/mole6.022 \times 10^{23} \, \text{molecules/mole}6.022×1023molecules/mole
Now, we use the formula:Number of molecules=moles of substance×Avogadro’s constant\text{Number of molecules} = \text{moles of substance} \times \text{Avogadro’s constant}Number of molecules=moles of substance×Avogadro’s constant
Substitute the values:Number of molecules=0.400 moles×6.022×1023 molecules/mole\text{Number of molecules} = 0.400 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mole}Number of molecules=0.400moles×6.022×1023molecules/moleNumber of molecules=2.409×1023 molecules\text{Number of molecules} = 2.409 \times 10^{23} \, \text{molecules}Number of molecules=2.409×1023molecules
Answer:
Thus, the number of molecules in 0.400 moles of N2O5N_2O_5N2O5 is approximately:2.409×1023 molecules2.409 \times 10^{23} \, \text{molecules}2.409×1023molecules
You rounded this to 2.09×10232.09 \times 10^{23}2.09×1023, but the more precise value would be 2.409×10232.409 \times 10^{23}2.409×1023 molecules.
Explanation:
This calculation relies on the fact that 1 mole of any substance contains the same number of molecules, which is Avogadro’s constant, 6.022×10236.022 \times 10^{23}6.022×1023. When dealing with moles, you simply multiply the number of moles by this constant to find how many individual molecules are present. This principle is fundamental in chemistry and is used for converting between moles and molecules.
