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8 December, 12:42

a block of iron has a mass of 826g. what is the mass of a block of magnesium that has the same volume as the block of iron? the density of magnesium is 1.7 g/cm3, and the density of the iron is 7.9 g/cm3.

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  1. 8 December, 14:40
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    Answer is: the mass of a block of magnesium is 177.75 grams.

    m (Fe) = 826 g.

    d (Fe) = 7.9 g/cm³.

    1) Calculate volume of iron and magnesium:

    d (Fe) = m (Fe) : V (Fe).

    V (Fe) = m (Fe) : d (Fe).

    V (Fe) = 826 g : 7.9 g/cm³.

    V (Fe) = V (Mg) = 104.56 cm³.

    2) Calculate mass of magnesium:

    m (Mg) = V (Mg) · d (Mg).

    m (Mg) = 104.56 g/cm³ · 1.7 g/cm³.

    m (Mg) = 177.75 g.
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