Did I Calculate the Volume and Density Correctly?

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SUMMARY

The discussion centers on calculating the volume and density of liquids using mass and density values. The volume of the container filled with liquid mercury is calculated as 9.877 mL, derived from the mass difference of 133.8 g and the density of mercury at 13.546 g/mL. Additionally, the density of a second liquid is determined to be 4.8 g/mL by dividing the mass difference of 4.7 g by the previously calculated volume. The calculations presented are confirmed as correct by other forum members.

PREREQUISITES
  • Understanding of mass, volume, and density relationships
  • Basic knowledge of liquid measurement in milliliters (mL)
  • Familiarity with the formula for density: density = mass/volume
  • Knowledge of specific gravity and its applications in fluid mechanics
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  • Study the principles of fluid density and buoyancy
  • Learn about the properties of mercury and its applications in scientific measurements
  • Explore advanced topics in fluid dynamics and density calculations
  • Investigate the effects of temperature on liquid density
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This discussion is beneficial for students in physics or chemistry, educators teaching fluid mechanics, and anyone interested in practical applications of density calculations in laboratory settings.

bedizzy
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Question:

The mass of a container filled with liquid mercury is 244.0 g, and the mass of the empty container is 110.2 g

a. What is the volume of the container? (density of mercury = 13.546 g/ml)

b. The same container is filled with a second liquid, and the mass of the filled container is 114.9 g. What is the density of the second liquid?


My answers:

a)

244.0 g - 110.2 g = 133.8 g
133.8 g/(13.546 g/mL) = 9.877 mL


b)

114.9 g - 110.2 g = 4.7 g
4.7 g/9.877 mL = 4.8x10 g/mL



Does that look right? if not where did I go wrong?

I appreciate the help...
 
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Welcome to PF!

Hi bedizzy! Welcome to PF! :smile:
bedizzy said:
Question:

The mass of a container filled with liquid mercury is 244.0 g, and the mass of the empty container is 110.2 g

a. What is the volume of the container? (density of mercury = 13.546 g/ml)

b. The same container is filled with a second liquid, and the mass of the filled container is 114.9 g. What is the density of the second liquid?
…
My answers:

a) 244.0 g - 110.2 g = 133.8 g
133.8 g/(13.546 g/mL) = 9.877 mL

b)114.9 g - 110.2 g = 4.7 g
4.7 g/9.877 mL = 4.8x10 g/mL

Does that look right? if not where did I go wrong?

Looks fine to me! :biggrin:
 
thanks tim... just wanted to check that one...


you'll probably be seeing more of me in the coming semesters :biggrin:
 

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