A density bottle weighs 70g when filled with water and 94g when filled with liquid A. Find the density of liquid A given that density of water is 1000kg/m³
A density bottle weighs 70g when filled with water and 94g when filled with liquid A. Find the density of liquid A given that density of water is 1000kg/m³
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To find the density of liquid A, we need to use the formula for density: Density = Mass / Volume.
In this case, we have the mass of liquid A when the density bottle is filled with it (which is 94g), but we need to find the volume of liquid A in order to calculate the density.
To do this, we can use the principle of displacement. We know that the density bottle weighs 70g when filled with water (which has a known density of 1000kg/m³). This means that the weight of the density bottle itself is 70g and the weight of the water inside is also 70g.
Now, let's find the volume of water using its mass and density. We know that Density = Mass / Volume, so rearranging the formula gives us Volume = Mass / Density. Substituting the mass of water (70g) and the known density of water (1000kg/m³), we find the volume of water to be:
Volume of water = 70g / 1000 kg/m³ = 0.07 m³.
Since the volume of liquid A will be the same as that of the water (since we are using the same density bottle), we can now calculate the density of liquid A:
Density of liquid A = Mass of liquid A / Volume of liquid A = 94g / 0.07 m³.
Converting the mass of liquid A from grams to kilograms, we have:
Density of liquid A = 0.094 kg / 0.07 m³.
Calculating this, we find:
Density of liquid A = 1.34 kg/m³.
So, the density of liquid A is 1.34 kg/m³.