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molten iron fills a mould, which has a volume of 200 cm cubed. Calculate the volume when the iron cools and solidifies. Molten iron has a density of 7.0g/cm cubed. In its solid state, iron has a density of 8.0g/cm cubed.

Respuesta :

As we know that mass of the iron will remain same in solid state as well as in molten state as per mass conservation theory

Now we can say

[tex]m_{initial} = m_{final}[/tex]

since mass is the product of volume and density so we can say

[tex]V_i \rho_i = V_{final}\rho_{final}[/tex]

now from above equation we have

[tex](200 cm^3)(7 g/cm^3) = V_{final}(8 g/cm^3)[/tex]

now by solving above equation we have

[tex]V_{final} = \frac{7}{8} (200 cm^3)[/tex]

[tex]V_{final} = 175 cm^3[/tex]

so final volume after it get solidify will become 175 cm^3

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