A relative density bottle of mass 25g has a capacity of 50cubic centimetre .The bottle is completely filled with methylated spirit, and its mass is 65g.The bottle is emptied and some salt is then put into the empty bottle and then weighed,the mass now is 50g.Methylated spirit is now added until the bottle is completely filled and the total mass now becomes 80g .From the data given ,calculate the density of the salt.
the density of the spirit is ... 65 g / 50 cm^3
the mass of the salt is ... 50 g - 25 g = 25 g
mass of the added spirit ... 80 g - 50 g = 30 g
... volume of added spirit = mass / density
volume of salt = bottle volume - spirit volume
density of salt = mass of salt / volume of salt
Thanks but I dont get it
To calculate the density of the salt, we need to find the volume of the salt and then divide it by the mass.
1. Calculate the volume of the methylated spirit:
- Mass of the bottle when completely filled with spirit = 65g
- Mass of the empty bottle = 25g
- Mass of the spirit = 65g - 25g = 40g
- Density of the spirit = mass/volume = 40g/50 cm^3 = 0.8 g/cm^3
2. Calculate the volume of the salt:
- Mass of the bottle with salt = 50g
- Mass of the empty bottle = 25g
- Mass of the salt = 50g - 25g = 25g
3. Calculate the volume of the salt using the density of the spirit:
- Density of the spirit = mass/volume = 0.8 g/cm^3
- Volume of the salt = mass/density of the spirit = 25g/0.8 g/cm^3 = 31.25 cm^3
4. Calculate the density of the salt:
- Mass of the salt = 25g
- Volume of the salt = 31.25 cm^3
- Density of the salt = mass/volume = 25g/31.25 cm^3 ≈ 0.8 g/cm^3
Therefore, the density of the salt is approximately 0.8 g/cm^3.
To calculate the density of the salt, we need to understand the concept of relative density and use the given information.
Relative density is the ratio of the density of a substance to the density of another substance. In this case, the density of the salt is the relative density of the salt with respect to methylated spirit.
Let's break down the information given step by step:
1. The mass of the empty bottle (excluding any substances) is 25g, and its capacity is 50 cubic centimeters.
This gives us the density of the empty bottle as:
Density of the bottle = Mass of the bottle / Volume of the bottle
Density of the bottle = 25g / 50cm³
Density of the bottle = 0.5g/cm³
2. The bottle is completely filled with methylated spirit, and its mass is 65g.
Since the bottle is filled to its capacity of 50cm³, the mass of the methylated spirit can be calculated as:
Mass of methylated spirit = Total mass - Mass of the bottle
Mass of methylated spirit = 65g - 25g
Mass of methylated spirit = 40g
3. The bottle is emptied, and some salt is then put into the empty bottle and weighed. The mass now is 50g.
The mass of the salt can be calculated as:
Mass of salt = Total mass - Mass of the bottle
Mass of salt = 50g - 25g
Mass of salt = 25g
4. Methylated spirit is now added until the bottle is completely filled, and the total mass now becomes 80g.
Let's call the mass of the added methylated spirit "m".
We know that the mass of the bottle is 25g, the mass of the salt is 25g, and the mass of the methylated spirit is 40g.
Therefore, the mass of the added methylated spirit is:
m = Total mass - (Mass of the bottle + Mass of the salt + Mass of the initial methylated spirit)
m = 80g - (25g + 25g + 40g)
m = 80g - 90g
m = -10g
5. The negative mass (-10g) suggests that there was no methylated spirit added, or there might be an error in the data given.
Based on the given data, it seems there might be an error or inconsistency between the given masses. Therefore, it is not possible to calculate the density of the salt using the given information.