A glass bottle has a volume of 1L and weighs 500g. When half filled with oil, it weighs 1750g. What is the density of the oil in the bottle?
why divided by 0.5 L when it is 1 L?
1750 - 500 = 1250g = Wt. of oil.
Density = 1250g/0.5L = 2500g/L.
To find the density of the oil in the bottle, we need to determine the mass of the oil and divide it by the volume of the oil.
Let's start by calculating the mass of the oil. We know that when the bottle is half-filled with oil, it weighs 1750g, and the empty bottle weighs 500g. Therefore, the mass of the oil is 1750g - 500g = 1250g.
Now, we can calculate the density of the oil by dividing the mass of the oil (1250g) by the volume of the oil (0.5L or 500ml, since the bottle is half-filled).
Density = Mass / Volume
Density = 1250g / 0.5L = 2500g/L
Therefore, the density of the oil in the bottle is 2500g/L.
To find the density of the oil in the bottle, we need to use the formula:
Density = Mass / Volume
First, let's find the mass of the oil. We know that when the bottle is half-filled with oil, it weighs 1750g. Since the total weight of the empty bottle is 500g, we can subtract that from the weight of the half-filled bottle to get the weight of the oil alone.
Mass of oil = Weight of the half-filled bottle - Weight of the empty bottle
Mass of oil = 1750g - 500g
Mass of oil = 1250g
Next, we need to calculate the volume of the oil in the bottle. We know that the volume of the bottle is 1L (or 1000mL). When the bottle is half-filled with oil, the volume of the oil is half of that.
Volume of oil = Volume of the bottle / 2
Volume of oil = 1000mL / 2
Volume of oil = 500mL (or 0.5L)
Now we have all the necessary values to calculate the density of the oil:
Density = Mass of oil / Volume of oil
Density = 1250g / 0.5L
Density = 2500g/L
Therefore, the density of the oil in the bottle is 2500g/L.