A cylinder has 500 cm^3 of water. after a mass of 100 grams of sand is poured into the cylinder and all air bubbles are removed by a vacuum pump, the water level rises to 537.5 cm^3. Determine the specific gravity of the sand?

What is 100grams/35.5ml?

then divide that by the density of water, 1 gram/cm^3 to get specific gravity.

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To determine the specific gravity of the sand, we'll need to calculate the volume of the sand and then compare it to the volume of an equal mass of water.

1. Calculate the volume of the sand:
The volume of the sand can be calculated by subtracting the initial volume of water from the final volume after the sand is added. So,
Volume of sand = Final volume - Initial volume
= 537.5 cm^3 - 500 cm^3
= 37.5 cm^3

2. Calculate the mass of the sand:
Given that the mass of the sand is 100 grams.

3. Determine the specific gravity:
Specific gravity is the ratio of the density of a substance to the density of water. Since density = mass/volume, we need to calculate the density of the sand first.
Density of sand = Mass of sand / Volume of sand
= 100 grams / 37.5 cm^3

Now, we need to compare this density with the density of water.
Density of water = 1 gram/cm^3 (approximately)

Specific gravity = Density of sand / Density of water
= (100 grams / 37.5 cm^3) / 1 gram/cm^3
= 2.67

Therefore, the specific gravity of the sand is approximately 2.67.

To determine the specific gravity of the sand, we need to compare the density of the sand to the density of water.

1. Firstly, we need to calculate the volume of the sand that was poured into the cylinder.

Since the water level rises from 500 cm^3 to 537.5 cm^3, the volume of the sand would be the difference, which is:
Volume of sand = 537.5 cm^3 - 500 cm^3 = 37.5 cm^3

2. Now we need to calculate the density of the sand using the mass and volume of the sand.

Density = Mass / Volume
We are given the mass of the sand, which is 100 grams, and the volume we calculated earlier, which is 37.5 cm^3.

Density of the sand = 100 g / 37.5 cm^3

3. Compare the density of the sand to the density of water to find the specific gravity.

The density of water is approximately 1 gram/cm^3.

Specific gravity = Density of sand / Density of water
Specific gravity = (100 g / 37.5 cm^3) / 1 g/cm^3

Simplifying, we find:
Specific gravity = 2.6667

Therefore, the specific gravity of the sand is approximately 2.6667.