A relative density bottle which usually measures t 2,000 g was found to measure 5,000 g when filled with water and 7,000 g when filled with alcohol. Find the density of alcohol in kilograms. (Density of water is equal to 1,000 kilo kg per centimeters cube)

Answer 1

First, we need to find the volume of the relative density bottle.

We know that the relative density bottle measures 3,000 g more when filled with alcohol compared to when filled with water. This means that the volume of alcohol displaced by the bottle is 3,000 g.

Next, we convert the volume of alcohol displaced from grams to cubic centimeters. Since 1 g of water is equal to 1 cubic centimeter, we know that 3,000 g of alcohol is equal to 3,000 cubic centimeters.

Now we can calculate the density of alcohol in kilograms per cubic centimeter:

Density = Mass / Volume
Density = 7,000 g / 3,000 cm^3
Density = 2.33 kg/cm^3

Therefore, the density of alcohol is 2.33 kg per cubic centimeter.