A relative density bottle of mass 25g has a capacity of 50cm
3
. 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.
To calculate the density of the salt, we need to find the mass and volume of the salt.
1. Find the mass of the methylated spirit (Ms):
The mass of the bottle filled with the spirit is 65g, and the mass of the empty bottle is 25g.
Therefore, the mass of the spirit alone is: Ms = 65g - 25g = 40g.
2. Find the mass of the salt (Msalt):
The mass of the bottle filled with spirit and salt is 80g, and the mass of the empty bottle is 50g.
Therefore, the mass of the salt alone is: Msalt = 80g - 50g = 30g.
3. Find the volume of the salt (Vsalt):
The capacity of the bottle is 50cm^3.
Since the bottle was completely filled with the spirit before adding the salt, the volume of the spirit is equal to the capacity of the bottle, which is 50cm^3.
Therefore, the volume of the salt is: Vsalt = 50cm^3 - 50cm^3 = 0cm^3.
4. Calculate the density of the salt (Dsalt):
Density is defined as mass divided by volume.
Therefore, Dsalt = Msalt / Vsalt.
However, since the volume of the salt is zero, we cannot calculate the density of the salt using the given data.
To calculate the density of the salt, we first need to find the volume of the salt that was added to the bottle. We can then divide the mass of the salt by its volume to obtain the density.
Let's break down the given information to find the volume and mass of the salt:
1. Mass of the empty bottle: 25g
2. Mass of the bottle filled with methylated spirit: 65g
3. Mass of the bottle with salt (empty bottle + salt): 50g
4. Mass of the bottle filled with methylated spirit and salt: 80g
Now, let's calculate the mass and volume of the salt:
1. Mass of the empty bottle + salt (before filling with methylated spirit): Mass of the filled bottle - Mass of the methylated spirit
= 50g - 65g
= -15g (Note: The negative sign indicates that the mass of the salt is 15g.)
2. Mass of the salt: Mass of the empty bottle + salt (before filling with methylated spirit) - Mass of the empty bottle
= -15g - 25g
= -40g (Note: Again, the negative sign indicates that the mass of the salt is 40g.)
3. Volume of the salt: Total volume of the bottle - Volume of the methylated spirit
= 50cm^3 - 50cm^3
= 0cm^3 (Note: Since the bottle was emptied before adding salt, the volume of the salt is 0cm^3.)
So, the volume of the salt is 0cm^3, and the mass of the salt is 40g.
Now we can calculate the density of the salt:
Density = Mass / Volume
= 40g / 0cm^3 (Note: Dividing by 0 is undefined, so the density of the salt cannot be calculated with the given data.)
Therefore, we cannot calculate the density of the salt using the given information.