4.00×10^(-4) mg of gold per liter of seawater. 9.85 km^3

4.00×10^(-4) mg of gold per liter of seawater. 9.85 km^3

 

 

It has been estimated that

there is 4.00×10^(-4) mg of gold per liter of seawater.

At price of $19.40/g, what would be the value of the gold

in 9.85 km^3 of the ocean?

(1 km^3 = 1×10^15 cm^3)

 

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▶ 참고: 환산인자 [ https://ywpop.tistory.com/3121 ]

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> 1 L = 1000 mL = 1000 cm^3

 

 

 

(9.85 km^3) (1×10^15 cm^3 / 1 km^3) (1 L / 1000 cm^3)

= (9.85) (1×10^15) (1 / 1000)

= 9.85×10^12 L

 

 

 

(9.85×10^12 L) (4.00×10^(-4) mg / 1 L) (1 g / 1000 mg) ($19.40 / 1 g)

= (9.85×10^12) (4.00×10^(-4)) (1 / 1000) (19.40)

= $7.64×10^7

 

 

 

답: $7.64×10^7

 

 

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바닷물 1 L에는 금이 4×10^(-4) mg 포함되어있다.

금값이 $19.40/g이라면,

대양 1 km^3에 있는 금의 가치는 얼마인가?

 

 

(1 km^3) (1×10^15 cm^3 / 1 km^3) (1 L / 1000 cm^3)

= (1) (1×10^15) (1 / 1000)

= 1×10^12 L

 

 

(1×10^12 L) (4.00×10^(-4) mg / 1 L) (1 g / 1000 mg) ($19.40 / 1 g)

= (1×10^12) (4.00×10^(-4)) (1 / 1000) (19.40)

= $7.76×10^6