Answered

To determine the density of an irregularly shaped object, a student immersed the object in 21.2 mL

of water in a graduated cylinder causing the level of the water to rise to 27.8 mL. If the object has a

mass of 22.4 grams, what is the density of the object

Verified Answer :

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Density = mass/ vol 
the vol is 27.8-21.2 ml = 6.6ml 
D = 22.4g/ 6.6ml 
D= 3.4g/ml

Answer: The density of object is 3.4 g/mL

Explanation:

We are given:

Volume of cylinder without object, \(V_1\) = 21.2 mL

Volume of cylinder with object, \(V_2\) = 27.8 mL

Volume of object = \(V_2-V_1=27.8-21.2=6.6mL\)

To calculate volume of a substance, we use the equation:

\(\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}\)

We are given:

Mass of object = 22.4 g

Volume of object = 6.6 mL

Putting values in above equation, we get:

\(\text{Density of object}=\frac{22.4g}{6.6mL}\\\\\text{Density of object}=3.4g/mL\)

Hence, the density of object is 3.4 g/mL

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