The density of liquid X can be found using the formula:
density = (mass of liquid X) / (volume of liquid X)
To find the volume of liquid X that the density bottle can hold, we need to find the volume of water that the bottle can hold and then subtract this value from the total volume of the bottle. We know that the mass of water that fills the bottle is:
mass of water = (mass of bottle + water) - (mass of bottle)
mass of water = 37.5 g - 17.5 g = 20 g
The volume of water that fills the bottle is:
volume of water = mass of water / density of water
volume of water = 20 g / (1000 kg/m³) = 0.02 L
The total volume of the bottle is the volume of water plus the volume of liquid X:
total volume = volume of water + volume of liquid X
We can solve for the volume of liquid X:
volume of liquid X = total volume - volume of water
volume of liquid X = (mass of bottle + liquid X) - (mass of bottle) / density of liquid X - 0.02 L
Simplifying the equation:
density of liquid X = (mass of liquid X) / (total volume - volume of water)
density of liquid X = (35 g) / (0.03 L)
density of liquid X = 1167 kg/m³
Therefore, the density of liquid X is 1167 kg/m³.