Question

If the density of mercury is 13.6 g / cubic cm. Find the mass of 1 liter of mercury in grams?

Answer 1

To find the mass of 1 liter of mercury, convert the volume to cubic centimeters (1000 cm³) and multiply it by the density of mercury (13.6 g/cm³) giving a mass of 13600 grams.

Step-by-step explanation:

The mass of 1 liter of mercury can be found by using the density of mercury as a conversion factor. Since density is defined as mass per unit volume, we can use the given density of mercury, 13.6 g/cm³, to determine the mass in grams for any given volume in cubic centimeters.

First, we need to convert 1 liter to cubic centimeters since 1 liter is equivalent to 1000 cubic centimeters (1 L = 1000 cm³). We then multiply this volume by the density of mercury to find the mass:

Mass of mercury = volume × density

Mass of mercury = 1000 cm³ × 13.6 g/cm³

Mass of mercury = 13600 grams

Therefore, the mass of 1 liter of mercury is 13600 grams.

Answer 2

The mass of 1 liter of mercury is 13,600grams.

Convert Volume to Cubic Centimeters:

The volume of 1 liter is equivalent to
`1000 cm^(3)` . This conversion is based on the fact that 1 liter is defined as 1000 cubic centimeters.

Use the Density Formula:

The formula for calculating mass (Mass) is Density × Volume.

Given that the density of mercury is
`13.6 \: gm/cm^(3)` and the volume is
`1000 cm^(3)` , you can substitute these values into the formula.

Perform the Calculation:

`\begin{aligned}& \text { Mass }=13.6 \mathrm{~g} / \mathrm{cm}^3 * 1000 \mathrm{~cm}^3 \\& \text { Mass }=13,600 \mathrm{~g}\end{aligned}`

In summary, the calculation involves converting the volume to cubic centimeters and then using the density formula to find the mass. This is based on the relationship between density, volume, and mass, where density is the amount of mass per unit volume.