Calculate the density of a 3.00 x 10^2 g object that has a volume of 86.2 mL. Be sure your answer has the correct number of significant figures.

Answer 1

Density is calculated by dividing the mass of the object by its volume.

Density = mass / volume

Density = 3.00 x 10^2 g / 86.2 mL

Density = 3.00 g / 0.0862 L (since 1 mL = 0.001 L)

Density = 34.83 g/L

Since the volume is given to three significant figures, and the mass is given to two significant figures, the final answer should have two significant figures.

Therefore, the density of the object is 35 g/L.

Answer 2

You lost the factor of 10^2 in this step:
Density = 3.00 x 10^2 g / 86.2 mL
Density = 3.00 g / 0.0862 L

the real answer is 3.48 g/mL = 3480 g/L = 3.48 kg/L
stick to cgs or MKS. g/L is a mixture of the two

Answer 3

You are correct, I apologize for the error in my calculation. The correct answer is:

Density = 3.00 x 10^2 g / 86.2 mL

Density = 300 g / 86.2 mL

Density = 3.48 g/mL

Thank you for pointing that out and providing the correct answer.