An empty relative density bottle of weight 40g the bottle weight 80g when filled with methylated spirit and 90 when filled with water , what is the relative density of the methylated spirit
The weight of the spirit = (80g + volume of spirit) - 40g
The weight of water = (90g + volume of water) - 80g
Using the formula for relative density:
Relative density of spirit = (weight of spirit / volume of spirit) / (weight of water / volume of water)
We can simplify this by noting that the volume of spirit and water are the same (since they fill the same bottle), so we can cancel them out:
Relative density of spirit = (weight of spirit / weight of water)
Plugging in the given values:
Relative density of spirit = [(80g + volume of spirit) - 40g] / [(90g + volume of water) - 80g]
Relative density of spirit = (40g + volume of spirit) / (10g + volume of water)
Relative density of spirit = (40g + volume of spirit) / (10g + volume of spirit + volume of spirit's weight in water)
To solve for the volume of spirit's weight in water, we can use the fact that the bottle weighs 80g when filled with spirit, and 90g when filled with water:
Volume of spirit's weight in water = (weight of bottle filled with water - weight of bottle filled with spirit) / density of water
Volume of spirit's weight in water = (90g - 80g) / 1g/mL
Volume of spirit's weight in water = 10mL
Plugging this into the previous equation:
Relative density of spirit = (40g + volume of spirit) / (10g + volume of spirit + 10mL)
Simplifying this equation, we get:
Relative density of spirit = (40g + volume of spirit) / (10g + volume of spirit) + 10
Now we can solve for the volume of spirit by using the fact that the bottle weighs 80g when filled with spirit:
Volume of spirit = weight of bottle filled with spirit - weight of empty bottle
Volume of spirit = 80g - 40g
Volume of spirit = 40mL
Plugging this into the previous equation:
Relative density of spirit = (40g + 40mL) / (10g + 40mL) + 10
Relative density of spirit = 1.4
Therefore, the relative density of the methylated spirit is 1.4.
To find the relative density of the methylated spirit, we need to compare its density to that of water.
First, let's find the weight of the liquid (methylated spirit) in the bottle. We can calculate this by subtracting the weight of the empty bottle from the weight of the bottle when filled with the liquid:
Weight of liquid (methylated spirit) = weight of filled bottle - weight of empty bottle
= 90g - 80g
= 10g
Next, let's find the density of the liquid. Density is defined as the mass of an object divided by its volume. In this case, we know the weight of the liquid, but we need to find its volume.
To find the volume of the liquid, we can use the concept of relative density. The relative density of a material is the ratio of its density to the density of water. In this case, we know the weight of the liquid (10g) and the weight of water (90g).
The relative density is given by:
Relative density = density of liquid / density of water
Since the weight of the liquid is directly proportional to its volume, we can use the weight ratio to find the volume ratio.
Weight ratio = weight of liquid / weight of water
= 10g / 90g
= 1/9
Volume ratio = (weight ratio)^(1/3)
= (1/9)^(1/3)
= 1/3
This means that the volume of the liquid is one-third the volume of the water.
Since the weight of the bottle when filled with water is 90g, the weight of an equal volume of water is also 90g.
Now, we can find the density of the liquid by dividing its weight by its volume:
Density of liquid = weight of liquid / volume of liquid
= 10g / (1/3) * 90g
= 30g/90g
= 1/3
Finally, to find the relative density of the methylated spirit, we divide its density by the density of water:
Relative density = density of liquid / density of water
= (1/3) / 1
= 1/3
Therefore, the relative density of the methylated spirit is 1/3.
To find the relative density of the methylated spirit, we need to first understand what relative density means.
Relative density (also known as specific gravity) is the ratio of the density of a substance to the density of a reference substance. In this case, the reference substance is water.
To calculate relative density, we can use the formula:
Relative density = (Weight of substance) / (Weight of equal volume of water)
Given the information provided, we have:
Weight of empty bottle = 40g
Weight of bottle + methylated spirit = 80g
Weight of bottle + water = 90g
To find the weight of the substances alone, we need to subtract the weight of the empty bottle.
Weight of methylated spirit = (Weight of bottle + methylated spirit) - (Weight of empty bottle)
= 80g - 40g
= 40g
Weight of water = (Weight of bottle + water) - (Weight of empty bottle)
= 90g - 40g
= 50g
Now we can calculate the relative density of the methylated spirit:
Relative density = (Weight of methylated spirit) / (Weight of equal volume of water)
= 40g / 50g
= 0.8
Therefore, the relative density of the methylated spirit is 0.8.