Please show all of your work for FULL credit. Be mindful of significant figures

Question

Please show all of your work for FULL credit. Be mindful of significant figures and units. Answer the following questions focusing on density A solid metal sphere has a volume of 20.6 mL. The mass of the sphere is 35.70 g. Find the density of the metal sphere in grams per cubic centimeter. A liquid sample was determined to have a density of 0.824 g/mL. What is the volume of the liquid if the mass is 18.95g? A sample containing 23.89 g of metal pellets is poured into a graduating cylinder initially containing 15.9 mL of water, causing the water level in the cylinder to rise to 23.6 mL. Calculate the density of the metal.

Explanation / Answer

(1) Volume (V) = 20.6 mL

    mass (m) = 35.70 g

=> density = m / V = 35.70 / 20.6

=> density = 1.73 g/mL

(2) Density = 0.824 g/mL

    mass = 18.95 g

=> volume = mass/density = 18.95 / 0.824

=> volume = 23.0 mL

(3) mass = 23.89 g

    volume = 23.6 - 15.9 = 7.7 mL

=> density = m/V = 23.89 / 7.7

=> density = 3.10 g/mL

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