Question

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The density of mercury is 13.6 grams per cubic centimeter. Complete the steps for converting 13.6 g/cm³ to kg/m³.
(1 kg = 1,000 g, 1 m³ = 106 cm³)

Answer 1

To convert 13.6 g/cm³ to kg/m³, divide the given density by 1,000 to get the density in kg/cm³. Then, divide the density in kg/cm³ by 106 to get the density in kg/m³.

Step-by-step explanation:

To convert 13.6 g/cm³ to kg/m³, we can use the following conversion factors:

1 kg = 1,000 g

1 m³ = 106 cm³

First, we need to convert grams to kilograms. Since 1 kg = 1,000 g, we divide the given density by 1,000 to get the density in kg/cm³. So, 13.6 g/cm³ = 0.0136 kg/cm³.

Next, we need to convert cm³ to m³. Since 1 m³ = 106 cm³, we divide the density in kg/cm³ by 106 to get the density in kg/m³. So, 0.0136 kg/cm³ = 0.0136/106 kg/m³ = 1.36 x 10^-8 kg/m³.