A bottle full of a water has amass of 45g; when full mercury its mass is 360g. If the mass of the empty bottle is 20g calculate the density of mercury.

(360 - 20) / (45 - 20) = ?

I want the answer plz

R.D = 360-20/45-20

=13.6

R.D= Mercury Density/H2O Density
Mercury Density = R.DxH2O Density
Mercury Density=13.6×1000
Mercury Density = 13600Kg/m3

1.36x 10kg/m

To calculate the density of mercury, we first need to determine the volume of mercury filled in the bottle.

Given that the mass of the empty bottle is 20g, the total mass of the bottle filled with mercury is 360g, and the mass of the water filled bottle is 45g, we can calculate the mass of the mercury by subtracting the mass of the water from the total mass:

Mass of mercury = Total mass - Mass of water
Mass of mercury = 360g - 45g
Mass of mercury = 315g

Next, we need to calculate the volume of the mercury. We can use the formula:

Density = Mass / Volume

Since we want to calculate the density of mercury, we rearrange the formula and solve for volume:

Volume = Mass / Density

Given that the mass of the mercury is 315g and the mass is equal to the density, we can substitute these values into the formula:

Volume = 315g / Density

Now, we have everything we need to calculate the density of mercury. We know that the volume of the liquid is the same as the volume of the bottle.

Density = Mass of mercury / Volume of bottle

Density = 315g / Volume of bottle

Finally, we need to calculate the volume of the bottle. Since density is mass per unit volume, we can calculate the volume by dividing the mass of the mercury by its density:

Volume of bottle = Mass of mercury / Density of mercury

Volume of bottle = 315g / 13.95 g/cm³ (density of mercury)

Now, we can substitute the values into the formula to find the volume of the bottle:

Volume of bottle = 315g / 13.95 g/cm³ ≈ 22.58 cm³

Finally, we can calculate the density of mercury:

Density = Mass of mercury / Volume of bottle
Density = 315g / 22.58 cm³

Calculating this gives us a density of approximately 13.95 g/cm³ for mercury.

Therefore, the density of mercury is approximately 13.95 g/cm³.