The mass of a specific gravity bottle is 15.2g when it is empty. it is 24.8g when filled with kerosene and 27.2g when filled with distilled water. Calculate...

Assessment: JAMB UTME - Physics - 1994 Subject: Physics

Question 1 Report

The mass of a specific gravity bottle is 15.2g when it is empty. it is 24.8g when filled with kerosene and 27.2g when filled with distilled water. Calculate the relative density of kerosene
Answer Details
To calculate the relative density of kerosene, we need to first find the mass of kerosene that fills the specific gravity bottle. We can do this by subtracting the mass of the empty bottle from the mass of the bottle filled with kerosene. Mass of kerosene = Mass of filled bottle - Mass of empty bottle Mass of kerosene = 24.8g - 15.2g Mass of kerosene = 9.6g Next, we need to find the mass of an equal volume of water that fills the specific gravity bottle. We can do this by subtracting the mass of the empty bottle from the mass of the bottle filled with water. Mass of water = Mass of filled bottle with water - Mass of empty bottle Mass of water = 27.2g - 15.2g Mass of water = 12g The relative density of kerosene is then calculated by dividing the density of kerosene by the density of water. Relative density of kerosene = (mass of kerosene / volume of kerosene) / (mass of water / volume of water) We don't have the volumes of the kerosene and water, but since they were both measured using the same specific gravity bottle, their volumes are equal. Therefore, we can simplify the equation to: Relative density of kerosene = (mass of kerosene) / (mass of water) Relative density of kerosene = 9.6g / 12g Relative density of kerosene = 0.8 Therefore, the relative density of kerosene is 0.8, which corresponds to the option: 0.80.

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