determine the quantity of atoms of vanadium in 1.28 grams of vanadium

determine the quantity of atoms of vanadium in 1.28 grams of vanadium

determine the quantity of atoms of vanadium in 1.28 grams of vanadium

Answer

Explanation:

Step1: Find molar mass of vanadium

The molar mass of vanadium (V) is approximately 50.94 g/mol.

Step2: Calculate number of moles

The number of moles $n$ of vanadium is calculated using the formula $n=\frac{m}{M}$, where $m = 1.28$ g and $M=50.94$ g/mol. So $n=\frac{1.28}{50.94}\text{ mol}$.

Step3: Use Avogadro's number

Avogadro's number $N_A = 6.022\times 10^{23}$ atoms/mol. The number of atoms $N$ of vanadium is $N=n\times N_A=\frac{1.28}{50.94}\times6.022\times 10^{23}$ atoms. $N=\frac{1.28\times6.022\times 10^{23}}{50.94}\approx1.52\times 10^{22}$ atoms.

Answer:

$1.52\times 10^{22}$ atoms