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Fofino [41]
2 years ago
15

Q|C Seawater contains 3.00 mg of uranium per cubic meter. (a) Given that the average ocean depth is about 4.00 km and water cove

rs two-thirds of the Earth's surface, estimate the amount of uranium dissolved in the ocean.
Physics
1 answer:
kherson [118]2 years ago
6 0

Seawater contains 3.00 mg of uranium per cubic meter.

Given:

The average ocean depth, d=4km=4000m

Water covers two-thirds of the Earth's surface

Then, the estimated amount of uranium dissolved in the ocean is 4.08 \times 10^{15}g.

We know, that the mass per unit volume of Uranium ism=3\times 10^{-3} g/m^{3}.

Also, the world's energy requirement is E_n=1.5\times10^{13} J/s.

The radius of the earth is x=6.371\times10^{6}.

Calculating the amount of Uranium under the seawater is given by the expression:

A_m= md ( \frac{2}{3} 4\pi x^{3})

Substituting all the values in the expression, we get

A_m=3\times 10^{-3} \times4000 ( \frac{2}{3} \times4\times\pi (6.371\times10^{6})^{3})=4.08\times 10^{15}g.

Thus, the amount of Uranium dissolved in the ocean is 4.08 \times 10^{15}g

To learn more about Uranium, refer to:

brainly.com/question/9099776

#SPJ4

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