The density of a gold nugget is 19.3 g/cm3. If the volume of the gold nugget is 0.00369 L the mass of the nugget is

A) 71.2
B) 0.191
C) 19.3
D) 5.23
E) none of the above

Respuesta :

Answer:

The answer to your question is 71.22 g

Explanation:

Data

Density = 19.3 g/cm³

Volume = 0.00369

mass = ?

Formula

Density = [tex]\frac{mass}{volume}[/tex]

Solve for mass

mass = density x volume

Process

1.- Convert volume from liters to cubic centimeters

                 1 l ----------------  1000 cm³

             0.00369l ---------   x

                x = (0.00369 x 1000 ) / 1

                x = 3.69 cm³

2.- Substitution

       mass = 19.3 x 3.69

3.- Simplification and result

       mass = 71.22 g

The correct answer to the question is option A. 71.2.g

Density is simply defined as the mass of a substance per unit volume of the substance i.e

Density = mass /volume

To solve the question given above, we'll begin by converting 0.00369 L to cm³.

1 L = 1000 cm³

Therefore,

0.00369 L = 0.00369 × 1000

0.00369 L = 3.69 cm³

Finally, we shall determine the mass of the gold nugget. This can be obtained as follow:

Density of gold = 19.3 g/cm³

Volume = 3.69 cm³

Mass =?

Density = mass / volume

19.3 = mass / 3.69

Cross multiply

Mass = 19.3 × 3.69

Mass = 71.2 g

Therefore, the mass of the gold nugget is 71.2 g

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The mass of the gold nugget is 71.2 g.

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