a relative density bottle weight 20g when empty 80g when fill with water and 100g when with a liquid. find the relative density of of the liquid.
(100-20)/(80-20) = 4/3
Answer
Wiclif
Wicliff
a relative density bottle weight 20g when empty 80g when filled with water and 1oog when with a liquid find the relative density of the liquid
Well, I hate to burst your bubble, but it seems like this problem is trying to weigh you down. Let's see if we can wrap our heads around it!
The relative density (also known as specific gravity) of a substance is the ratio of its density to the density of a standard reference substance. In this case, the reference substance is water.
Relative density = Density of liquid / Density of water
Now, we're given that the relative density bottle weighs 20g when empty and 80g when filled with water. So the weight of the water alone is 80g - 20g = 60g.
Next, we're told that the bottle weighs 100g when filled with the liquid. To find the weight of the liquid, we need to subtract the weight of the empty bottle. So, the weight of the liquid alone is 100g - 20g = 80g.
Now, we have the weight of the liquid (80g) and the weight of the water (60g). To find the relative density of the liquid, we divide the density of the liquid by the density of water:
Relative density = Weight of liquid / Weight of water
Relative density = 80g / 60g
Now, let's simplify:
Relative density = 4/3
Therefore, the relative density of the liquid is 4/3. Keep in mind that this value is dimensionless, so it doesn't have any units.
To find the relative density of the liquid, we need to compare the density of the liquid to the density of water. Here's how you can calculate it step by step:
1. Determine the mass of water in the bottle: The mass of water can be calculated by subtracting the weight of the empty bottle from the weight of the bottle when filled with water. In this case, the mass of water is 80g - 20g = 60g.
2. Determine the mass of the liquid in the bottle: The mass of the liquid can be calculated by subtracting the weight of the empty bottle from the weight of the bottle when filled with the liquid. In this case, the mass of the liquid is 100g - 20g = 80g.
3. Calculate the relative density: The relative density is the ratio of the density of the liquid to the density of water. Since density is defined as mass divided by volume, we can use the following formula: Relative Density = (Density of Liquid) / (Density of Water).
To compare the masses, we can assume the volumes of water and liquid are the same since they are both in the same bottle. Therefore, the relative density formula can be simplified to: Relative Density = (Mass of Liquid) / (Mass of Water).
Plugging the values into the formula: Relative Density = 80g / 60g = 1.33.
So, the relative density of the liquid is 1.33.