Question

Calculate the density of a solid with the following data:

Volume of water: 48.4 ml. Volume of water and solid: 62.7 ml. Mass of solid: 123.4g
a.8.62 ml/g
b.8.629 g/cm3
c.8.6291036592 g/ml
d.8.63 g/ml

Answer 1

it would be c.8.6291036592g/ml

Answer 2

d.8.63 g/ml

Explanation:

Hello

In physics the density is a scalar magnitude referred to the amount of mass in a given volume of a substance or a solid object.it is given by:

`density =(mass\ of\ the\ object)/(volume\ of\ the\ object) \\`

Step 1

Find the volume of the object

According to the question

(Eq1)Volume of water=48.4 ml.

(Eq2)Volume of water+volume of the solid=62.7 ml

(Eq3)Mass of the object = 123.4 g

Now, from (Eq2) find volume of the solid

(Eq2)Volume of water+volume of the solid=62.7 ml

subtract volume of water on both sides

Volume of water+volume of the solid-Volume of water=62.7 ml-Volume of water

hence

(Eq4)volume of the solid=62.7 ml-Volume of water

Now, put (Eq1) into (Eq4)

volume of the solid=62.7 ml-48.4 ml

volume of the solid=14.3 ml

Step 2

put the values into the equation

`density =(mass\ of\ the\ object)/(volume\ of\ the\ object) \\d=(123.4 \ g)/(14.3 \ ml) \\d=8.62937 (g)/(ml) \\ approximates\\d=8.63 g/ml`

d=8.63 g/ml

in fact, answer b is not wrong since

`1 ml=1 cm^(3)`

Have a good day