A piece metal weighing 20.32 grams is added to a flask with a volume of 24.5 mL. It is found of that 18.52 grams of water (d = 0.9970 g/ml) be added to fill the flask. What is the density of the metal?

1 Answer
Oct 2, 2016

Answer:

#(3.432g)/(mL)#

Explanation:

  1. Find the volume of water added to fill the flask.
    #Density = (mass)/(volume)#
    #Volume = (mass)/(density)#
    #Vol (mL) = (18.52g)/((0.9970g)/(mL))#
    #Vol (mL) = (18.52g)*((mL)/(0.9970g))#
    #Vol (mL) = 18.58mL#

  2. Find the volume of the metal by subtracting the volume of water add.
    volume of metal = #24.5 mL - 18.58mL#
    #Volume (mL) = 5.92mL#

  3. This volume of metal has a mass of 20.32g. Therefore, we can find its density:
    #Density = (mass)/(volume)#
    #Density = (20.32g)/(5.92mL)#
    #Density = (3.432g)/(mL)#