Answer:
ρm=4.14g/ml :metal density
Explanation:
Conceptual analysis
We apply the formula to calculate the density:
ρ= m /V Formula (1)
Where:
ρ:density in g/mL
m: mass in g (grams)
V= volume in ml (milliliters)
Known data
[tex]V_{il}[/tex]: final volume of liquid=55.25 ml
[tex]V_{fl}[/tex]: final volume of liquid=61.00 ml
ms: metal mass=23.795 g
Problem development
The volume of the metal (vm) is equal to the change in volume of the liquid.
[tex]V_{m} = V_{fl}-V_{il} =61.00 ml - 55.25 ml =5.75ml[/tex]
We replace the data in formula (1 )to calculate the density of the metal(ρm):
ρm= mm /Vm=23.795 g/5.75ml
ρm=4.14g/ml
