Answer:
Mass in kg = 4.7*10^19 kg
Mass in tons = 5.2*10^16 tons
Explanation:
Given:
Total volume of sea water = 1.5*10^21 L
Mass % NaCl in seawater = 3.1%
Density of seawater = 1.03 g/ml
To determine:
Total mass of NaCl in kg and in tons
Calculation:
Unit conversion:
1 L = 1000 ml
The volume of seawater in ml is:
[tex]=\frac{1.5*10^{21}L*1000ml }{1L} =1.5*10^{24} ml[/tex]
[tex]Mass\ seawater = Density*volume = 1.03g/ml*1.5*10^{24} ml=1.5*10^{24}g[/tex]
[tex]Mass\ NaCl\ in\ seawater = \frac{3.1}{100}*1.5*10^{24} g=4.7*10^{22} g[/tex]
To convert mass from g to Kg:
1000 g = 1 kg
[tex]Mass\ seawater(kg) = \frac{4.7*10^{22}g*1kg }{1000g} =4.7*10^{19} kg[/tex]
To convert mass from g to tons:
1 ton = 9.072*10^6 g
[tex]Mass\ seawater(tons) = \frac{4.7*10^{22}g*1ton }{9.072*10^{6}g } =5.2*10^{16} tons[/tex]