it is estimated that uranium is relatively common in the earth's crust, occurring in amounts of 4 g/metric ton. a metric ton is 1000kg. at this concentration, what mass of uranium is present in 1.0 mg of earth's crust?
1.0 mg * 4 g / 1000*1000g
=0.000 004 mg.
To find out the mass of uranium present in 1.0 mg of the earth's crust, we need to use the given concentration of uranium in the earth's crust and convert the units accordingly.
Given:
Concentration of uranium = 4 g/metric ton
1 metric ton = 1000 kg
1 gram (g) = 1000 milligrams (mg)
First, let's calculate the mass of uranium in 1 metric ton:
Mass of uranium in 1 metric ton = concentration of uranium = 4 g
Since there are 1000 kg in 1 metric ton, we can convert the grams to milligrams:
Mass of uranium in 1 metric ton = 4 g = 4 × 1000 mg = 4000 mg
Now, we can find the mass of uranium in 1 mg of the earth's crust by dividing the mass in 1 metric ton by the total weight of the metric ton:
Mass of uranium in 1 mg of earth's crust = Mass of uranium in 1 metric ton / 1000000
Mass of uranium in 1 mg of earth's crust = 4000 mg / 1000000 = 0.004 mg
Therefore, there is approximately 0.004 mg of uranium present in 1.0 mg of the earth's crust.
To find the mass of uranium in 1.0 mg of Earth's crust, we need to calculate the concentration of uranium in the Earth's crust and then multiply it by the given mass.
First, let's convert the concentration of uranium from g/metric ton to g/kg since we are given the mass in mg (milligrams).
Given:
- Concentration of uranium: 4 g/metric ton
- Mass of 1 metric ton: 1000 kg
- Mass of Earth's crust: 1.0 mg
To convert the concentration of uranium from g/metric ton to g/kg, we can follow these steps:
Step 1: Convert the concentration from g/metric ton to g/kg.
1 metric ton = 1000 kg
So, the concentration is 4 g / 1000 kg = 0.004 g/kg
Now, we can calculate the mass of uranium in 1.0 mg of Earth's crust by multiplying the concentration by the given mass:
Mass of uranium = Concentration × Mass of Earth's crust
Mass of uranium = 0.004 g/kg × 1.0 mg
To perform this calculation, we need to convert mg to g since the concentration is in g/kg. There are 1000 mg in 1 g.
1.0 mg = 1.0 mg × (1 g / 1000 mg) = 0.001 g
Now we can substitute the values into the equation:
Mass of uranium = 0.004 g/kg × 0.001 g = 0.000004 g
Therefore, there is approximately 0.000004 grams (or 4 micrograms) of uranium in 1.0 mg of Earth's crust.