4.00 × 1023 molecules of H3PO4 have an approximate mass of
1 mole --------- 6.02 x 10²³ molecules
? mole --------- 4.00 x 10²³ molecules
moles = (4.00 x 10²³) x 1 / 6.02 x 10²³
moles = ( 4.00 x 10²³) / ( 6.02 x 10²³ )
= 0.6644 moles
Molar mass H₃PO₄ = 98.0 g/mol
mass = 0.6644 x 98.0 = 65.1112 g
hope this helps!
Answer : The approximate mass of \(H_3PO_4\) is 65 grams.
Explanation :
First we have to calculate the moles of \(H_3PO_4\).
As, \(6.022\times 10^{23}\) molecules of \(H_3PO_4\) present in 1 mole of \(H_3PO_4\)
So, \(4.00\times 10^{23}\) molecules of \(H_3PO_4\) present in \(\frac{4.00\times 10^{23}}{6.200\times 10^{23}}=0.664\) mole of \(H_3PO_4\)
Now we have to calculate the mass of \(H_3PO_4\).
\(\text{Mass of }H_3PO_4=\text{Moles of }H_3PO_4\times \text{Molar mass of }H_3PO_4\)
Molar mass of \(H_3PO_4\) = 98 g/mole
\(\text{Mass of }H_3PO_4=0.664mole\times 98g/mole=65.072g\approx 65g\)
Therefore, the approximate mass of \(H_3PO_4\) is 65 grams.