Answer: [tex]5.15\times 10^5kg[/tex]
Explanation:
According to avogadro's law, 1 mole of every substance weighs equal to the molecular mass and contains avogadro's number of particles.
To calculate the number of moles, we use the equation:
Putting in the values we get:
[tex]\text{Number of moles}=\frac{1.00\times 10^{31}}{6.023\times 10^{23}}=0.166\times 10^{8}moles[/tex]
1 mole of phosphorous [tex]P[/tex] weighs = 31 g
Thus [tex]0.166\times 10^8[/tex] moles of phosphorous [tex]P[/tex] weigh=[tex]\frac{31}{1}\times 0.166\times 10^8=5.15\times 10^8g=5.15\times 10^5kg[/tex]