A student using a 100mL graduated cylinder that contained 50.00mL of water. Th volume of the water increased to 57.50mL. The density of the object was 7.85 g/cm^2. How many grams did the metal object weigh?
mass=density*volume=7.85*7.50 grams
So would it be
7.85 g/cm^3 x 7.50mL
do you have to convert the mL and the g/ Cm^3?
What unit would the mass be? grams or mL...
ml=cm^3
mass units will be grams.
remember your units go as in algebra...
c/(a/b)=bc/a
so
g/(g/v)=gv/g=v
Thanks!
To find the weight of the metal object, we need to use the formula:
Weight = Density x Volume
First, let's calculate the change in volume of the water:
Change in volume = Final volume - Initial volume
Change in volume = 57.50 mL - 50.00 mL
Change in volume = 7.50 mL
Since 1 mL of water has a mass of 1 gram, the change in volume of the water is equivalent to the difference in weight.
Now we can find the weight of the metal object:
Weight = Density x Change in volume
Substituting the given values:
Weight = 7.85 g/cm^3 x 7.50 mL
Before proceeding, we need to convert the mL to cm^3 as the density is given in grams per cubic centimeter (g/cm^3).
1 cm^3 = 1 mL
Weight = 7.85 g/cm^3 x 7.50 cm^3
Weight = 58.875 grams
Therefore, the metal object weighs approximately 58.875 grams.