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Sagot :
The complete question is: Calculate the volume of platinum (δ = 21.4 g / cm 3) that has a mass of 23 g. Give the answer in dm3.
Explanation:
Given : Density of platinum = [tex]21.4 g/cm^{3}[/tex]
Mass of platinum = 23 g
As density is the mass of substance divided by its volume. Hence, the volume of platinum is calculated as follows.
[tex]Density = \frac{mass}{volume}[/tex]
Substitute the values into above formula.
[tex]Density = \frac{mass}{volume}\\21.4 g/cm^{3} = \frac{23 g}{volume}\\volume = \frac{23 g}{21.4 g/cm^{3}}\\= 1.074 cm^{3} \\(1 cm^{3} = 0.001 dm^{3})\\= 1.074 cm^{3} \times \frac{0.001 dm^{3}}{1 cm^{3}}\\= 1.074 \times 10^{-3} dm^{3}[/tex]
Thus, we can conclude that the volume of give platinum is [tex]1.074 \times 10^{-3} dm^{3}[/tex].
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