Physics
mhcoder
36

The density of aluminum is 2.7 g/cm3. A metal sample has a mass of 52.0 grams and a volume of 17.1 cubic centimeters. Could the sample be aluminum

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(1) Answers
jesosej

 Answer:   __________________________________________________             No;  the sample could not be aluminum; since the density of aluminum, " 2.7 g/cm³ " , is NOT close enough to the density of the sample, " 3.04 g/cm³ " . ________________________________________________ Explanation: ________________________________________________ Density is expressed as "mass per unit volume" ;   in which:      "mass, "m", is expressed in units of "g" (grams);  and:      "Volume, "V", is expressed in units of "cm³ " (such as in this problem); or                                                   in units of "mL" ; __________________________________________________             {Note the exact conversion:  " 1 cm³ = 1 mL " .}.  __________________________________________________   The formula for density:  D = m/V ; Given:  The density of aluminum is:  2.7 g/cm³. Given:  A sample has a mass of 52.0 g ; and Volume of 17.1 cm³ ; could it be aluminum? _________________________________________________________ Let us divide the mass of the sample by the volume of the sample; by using the formula: ___________________________________________             D = m / V ;        and see if the value is at, or very close to "2.7 g/cm³ ".   If it is, then it could be aluminum. ____________________________________________________ The density for the sample:   D = (52.0 / 17.1)   g/cm³ = 3.0409356725146199 g/cm³ ;                                               →round to "3 significant figures" ;                                           = 3.04 g/cm³ . _______________________________________________ No; the sample could not be aluminum; since the density of aluminum,     "2.7 g/cm³ "   is NOT close enough to the density of the sample,                         "3.04 g/cm³ " . ____________________________________________________

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