How do I solve this problem step by step?

Use T=M/F
Mass m (tons): Sodium:2.8*10^13
Flow rate, f (tons/year):Sodium:3.5*10^5

Zach is investigating the residence time of sodium in sea water. According to Zach's data table, the residence time of sodium written in scientific notation is __*10^ years.

1 answer

To solve this problem, we can use the formula T = M/F, where T represents the residence time, M represents the mass, and F represents the flow rate.

Step 1: Convert the mass and flow rate to regular notation.
Mass of sodium, M = 2.8 x 10^13 tons
Flow rate of sodium, F = 3.5 x 10^5 tons/year

Step 2: Substitute the values into the formula T = M/F.
T = (2.8 x 10^13 tons) / (3.5 x 10^5 tons/year)

Step 3: Simplify the equation.
T = (2.8/3.5) x (10^13 / 10^5) tons / (tons/year)
= 0.8 x 10^8 years

Step 4: Rewrite the result in scientific notation.
T = 0.8 x 10^8 years

Therefore, the residence time of sodium, written in scientific notation, is 0.8 x 10^8 years.
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