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An empty RD bottle weighs 30.5 g. When c...

An empty RD bottle weighs 30.5 g. When completely filled with water, it is found to weigh 60.5 g. When filled with alcohol it is found to weigh 53.5 g. What is the relative density of alcohol?

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To find the relative density of alcohol using the information given in the question, we can follow these steps: ### Step 1: Determine the mass of the empty RD bottle The mass of the empty RD bottle is given as: - Mass of empty RD bottle = 30.5 g ### Step 2: Find the mass of water in the filled RD bottle When the RD bottle is filled with water, its total mass is: - Mass of RD bottle + mass of water = 60.5 g To find the mass of the water, we subtract the mass of the empty bottle from the total mass: - Mass of water = Total mass - Mass of empty bottle - Mass of water = 60.5 g - 30.5 g = 30 g ### Step 3: Calculate the volume of water Since the density of water is 1 g/cm³, the volume of water can be calculated as: - Volume of water = Mass of water / Density of water - Volume of water = 30 g / 1 g/cm³ = 30 cm³ ### Step 4: Find the mass of alcohol in the filled RD bottle When the RD bottle is filled with alcohol, its total mass is: - Mass of RD bottle + mass of alcohol = 53.5 g To find the mass of the alcohol, we subtract the mass of the empty bottle from the total mass: - Mass of alcohol = Total mass - Mass of empty bottle - Mass of alcohol = 53.5 g - 30.5 g = 23 g ### Step 5: Calculate the density of alcohol We already found the volume of the RD bottle when filled with water, which is the same volume when filled with alcohol (30 cm³). Now we can calculate the density of alcohol: - Density of alcohol = Mass of alcohol / Volume of alcohol - Density of alcohol = 23 g / 30 cm³ = 0.76 g/cm³ ### Step 6: Calculate the relative density of alcohol Relative density is defined as the ratio of the density of a substance to the density of water. Since the density of water is 1 g/cm³, we can calculate the relative density of alcohol as follows: - Relative density of alcohol = Density of alcohol / Density of water - Relative density of alcohol = 0.76 g/cm³ / 1 g/cm³ = 0.76 ### Final Answer The relative density of alcohol is **0.76**. ---
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