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A sample of metal has a mass of 34.65 g. When placed in a graduated cylinder containing 20 mL of water, the water level rises to 23.3 mL. Which of the following metals is the sample made from: silver, which has a density of 10.5 g/cm3; tin, which has a density of 7.28 g/cm3; or titanium, which has a density of 4.5 g/cm3?

Respuesta :

kenmyna

The metal is the sample made from   silver  which  has a density of  10.5 g/cm³



calculation

  •  find the  density  of the sample from;  density=mass/volume  formula

       mass of the sample=  34.65  g

       volume=  total volume water + metal - volume of water

                 = 23.3 ml- 20 ml= 3.3 ml

  • convert ml to cm³

          1 ml= 1 cm³

        therefore 3.3 ml= 3.3 cm³

density is therefore= 34.65 g/3.3 cm^3 =10.5 g/cm³

therefore  the sample was made  from silver

Answer:- The sample is made from silver, which has a density of [tex]\frac{10.5g}{cm^3}[/tex] .

Solution:- Mass of the metal is 34.65 gram. Volume of water in the graduated cylinder is 20 mL. When the metal is placed in the cylinder filled with water, the water level rises to 23.3 mL.

So, the volume of the metal = 23.3 mL - 20mL = 3.3 mL

Now, we have the mass and volume of the metal, so it's density could easily be calculated by using the density formula:

[tex]density=\frac{mass}{volume}[/tex]

[tex]density=\frac{34.65g}{3.3mL}=\frac{10.5g}{mL}[/tex]

since, [tex]1mL=1cm^3[/tex]

So, density = [tex]\frac{10.5g}{cm^3}[/tex]

Hence, the sample is made from silver, which has a density of [tex]\frac{10.5g}{cm^3}[/tex] .

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