Final answer:
The volume of the material, calculated based on the buoyant force when immersed in alcohol with a specific gravity of 0.700, is 0.0145 m³.
Step-by-step explanation:
To find the volume of the material, we first need to understand that the difference in weight between the object in air and immersed in a fluid is due to the buoyant force. This force is equal to the weight of the fluid displaced by the object, which is dependent on the density of the fluid and the volume of the object. Since alcohol has a specific gravity of 0.700, its density is 0.700 times the density of water, which is 1000 kg/m³, making the density of alcohol 700 kg/m³. Using the difference in weight (255 N - 155 N = 100 N) and the gravity (9.81 m/s²), we can calculate the volume of the displaced alcohol, which also represents the volume of the material. Using the formula weight = density x gravity x volume and rearranging for volume, we get:
volume = weight / (density x gravity)
So the volume of the material is 100 N / (700 kg/m³ x 9.81 m/s²) = 0.0145 m³.