Answer:
The total amount of Au is $ [tex]2.0\times10^{24}[/tex]
Explanation:
Given that,
Mass of 1.0 ml of Au [tex]m=4\times10^{-2}\ g[/tex]
Total volume of water in oceans [tex]V=1.5\times10^{21}\ L[/tex]
We need to calculate the volume in ml
Using given volume
[tex]V=1.5\times10^{21}\times1000\ mL[/tex]
[tex]V=1.5\times10^{24}\ mL[/tex]
We need to calculate the total mass of Au
Using given data
[tex]1\ ml\ volume = 4\times10^{-2}\ g[/tex]
[tex]1.5\times10^{24}\ ml=4\times10^{-2}\times1.5\times10^{24}[/tex]
So, The total mass of Au is [tex]6\times10^{22}\ g[/tex]
The mass will be in ounce,
[tex]Mass=0.035274\times6\times10^{22}[/tex]
[tex]Mass=2.12\times10^{21}\ ounce[/tex]
The total amount of the Au Will be
[tex]Total\ amount=2.12\times10^{21}\times948[/tex]
[tex]Total\ amount=2.0\times10^{24}[/tex]
Hence, The total amount of Au is $ [tex]2.0\times10^{24}[/tex]
