How many molecules are in 0.400 moles of N2O5?
The Correct Answer and Explanation is:
To calculate the number of molecules in 0.400 moles of N2O5 (dinitrogen pentoxide), we use Avogadro’s number, which is the number of molecules in one mole of any substance. The value of Avogadro’s number is:6.022×1023 molecules per mole6.022 \times 10^{23} \text{ molecules per mole}6.022×1023 molecules per mole
Steps for Calculation:
- Given Data:
- Moles of N2O5 = 0.400 moles
- Avogadro’s number = 6.022×1023 molecules/mole6.022 \times 10^{23} \text{ molecules/mole}6.022×1023 molecules/mole
- Formula to calculate number of molecules: Number of molecules=Moles of substance×Avogadro’s number\text{Number of molecules} = \text{Moles of substance} \times \text{Avogadro’s number}Number of molecules=Moles of substance×Avogadro’s number 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/mole)
- Calculation: Number of molecules=0.400×6.022×1023=2.4088×1023 molecules\text{Number of molecules} = 0.400 \times 6.022 \times 10^{23} = 2.4088 \times 10^{23} \text{ molecules}Number of molecules=0.400×6.022×1023=2.4088×1023 molecules
Final Answer:
There are approximately 2.41 × 10²³ molecules in 0.400 moles of N2O5.
Explanation:
Moles represent a quantity of substance, and the number of molecules in a given number of moles can be found by multiplying the number of moles by Avogadro’s number. This calculation is based on the fact that one mole of any substance contains 6.022 × 10²³ particles (atoms, molecules, ions, etc.), which is a constant. By multiplying the number of moles (0.400) by this constant, you determine the exact number of molecules present in that amount of the substance. In this case, for 0.400 moles of N2O5, the total number of molecules is 2.41 × 10²³.
