High School

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1. A student fills a graduated cylinder to 35.0 mL with liquid. She then immerses a solid in the liquid. The volume of the liquid rises to 37.9 mL. The mass of the solid is 66.5 g. What is its density?

Answer :

The density of the solid is obtained by dividing its mass (66.5 g) by the volume it displaces (which is calculated to be 2.9 mL). Hence, the density is approximately 22.9 g/mL.

Density is mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). In the problem provided, the density of the solid can be determined by using the formula for density: Density = Mass / Volume. In this case, the initial volume of the liquid in the graduated cylinder is 35.0 mL.

When the solid object is submerged, the volume increases to 37.9 mL. This means the solid object has a volume of 37.9 mL - 35.0 mL = 2.9 mL. The mass of the solid is given as 66.5 g. Therefore, the density of the solid can be calculated as follows: Density = Mass / Volume ,= 66.5 g / 2.9 mL

= 22.9 g/mL.

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