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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?

User Icon for DrBob222 DrBob222 answered
8 years ago

mass object = volume x density

volume = 57.50-50.00 = ?
density = given.
Solve for mass object.

User Icon for Lilly Lilly answered
8 years ago

isn't the density given in g/cm^2 though? and the mass is mL. It seems like there are 2 different units here. They also want the answer in grams.

so m= d x v

7.50mL x 7.85 g/cm^2= 58.9 (what unit mL or g.cm^2?)

User Icon for DrBob222 DrBob222 answered
8 years ago

1 mL = 1 cm^3 = 1 cubic centimeter = 1 cc.

7.50 cc x 7.85 g/cc = 58.9 grams. Note that cc in numerator cancels with cc in the denominator.

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the weight of the metal object, we first need to calculate the change in volume of water in the graduated cylinder and then use the density to calculate the weight. Here's how to do it step by step:

1. Calculate the change in volume of the water: Subtract the initial volume from the final volume.
Change in volume = Final volume - Initial volume
Change in volume = 57.50 mL - 50.00 mL
Change in volume = 7.50 mL

2. Convert the change in volume to cm^3, as the density is given in grams per cm^3. Since 1 mL is equal to 1 cm^3, there is no need for conversion in this case.
Change in volume = 7.50 cm^3

3. Use the formula density = mass / volume to calculate the mass of the metal object.
Rearrange the formula to find mass:
Mass = Density x Volume
Mass = 7.85 g/cm^3 x 7.50 cm^3

4. Calculate the mass of the metal object using the values obtained in the previous steps:
Mass = 58.875 g

Therefore, the metal object weighs approximately 58.875 grams.