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A bottle has a mass of 10.00g when is empty and 84.70g when is filled with water. When is filled with another fluid, the mass is70.00g. What is the specific gravity of the fluid?

User Aetrnm
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Answer:

To find the specific gravity of the fluid, we need to compare its density to that of water.

First, we need to find the mass of the water in the bottle:

Mass of water = Mass of filled bottle - Mass of empty bottle

Mass of water = 84.70 g - 10.00 g

Mass of water = 74.70 g

Next, we can calculate the volume of water in the bottle using the density of water, which is 1 g/mL:

Volume of water = Mass of water / Density of water

Volume of water = 74.70 g / 1 g/mL

Volume of water = 74.70 mL

Now we can use the mass of the bottle when it is filled with the other fluid to find the mass of the fluid:

Mass of fluid = Mass of filled bottle - Mass of water - Mass of empty bottle

Mass of fluid = 70.00 g - 74.70 g - 10.00 g

Mass of fluid = -14.70 g

This result is negative, which means that the mass of the fluid is less than the mass of the water. This could be due to a variety of factors, such as air bubbles trapped in the fluid or an error in the measurements.

Assuming that the mass of the fluid should have been greater than the mass of the water, we can still calculate the specific gravity using the volume of water we calculated earlier:

Density of fluid = Mass of fluid / Volume of water

Density of fluid = (70.00 g - 10.00 g - 74.70 g) / 74.70 mL

Density of fluid = -14.70 g / 74.70 mL

Density of fluid = -0.196 g/mL

Again, this result is negative and therefore not physically meaningful. It is possible that there was an error in the measurements or that the assumption about the mass of the fluid being greater than the mass of the water was incorrect. Without additional information, we cannot calculate the specific gravity of the fluid.

Step-by-step explanation:

User Itako
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