Calculate the number of oxygen atoms in 29.34 g of sodium sulfate, na2so4 .
To determine the amount of oxygen atoms in the compound given, we need convert it in terms of moles and relate the number of atoms O per mole of the compound. From there, we use the avogadro's number to convert it into atoms.
29.34 g Na2SO4 ( 1 mol / 142.04 g ) ( 4 mol O / 1 mol Na2SO4 ) (6.022x10^23 atoms O / 1 mol ) ) = 4.98x10^23 atoms O
Answer: The number of oxygen atoms in given mass of sodium sulfate are \(4.96\times 10^{23}\)
Explanation:
To calculate the number of atoms, we first need to find the number of moles of sodium sulfate. the equation used will be:
\(\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}\)
Molar mass of sodium sulfate 142g/mol
Given mass of sodium sulfate = 29.34g
Putting values in above equation, we get:
\(\text{Moles of }Na_2SO_4=\frac{29.34g}{142g/mol}=0.206mol\)
In 1 mole of sodium sulfate, 4 moles of oxygen atoms are present.
Number of oxygen atoms present in 1 mole of sodium sulfate will be \(4\times 6.022\times 10^{23}\)
So, in 0.206 mol of sodium sulfate, the number of oxygen atoms will be = \(0.206\times 4\times 6.022\times 10^{23}=4.96\times 10^{23}\)
Hence, the number of oxygen atoms in given mass of sodium sulfate are \(4.96\times 10^{23}\)