A density bottle has a mass of 35g when empty, 85g when filled with water and 75g when filled with kerosene. Calculate the density of kerosene in g/cm3.
assume the volume is V
density water=85/V
V=85/densitywater
density kero=75/V
density kero=75*densitywater/85
but density water=1gm/cc
so do the figuring.
YES
mass of bottle=35
mass of water=85-35=50g
mass of kerosene=75-35=40g
therefore,density of kerosene=
mass of kerosene/mass of water=
40g/50g= 4g/5g=1.15
ANS=1.15 g/cm3
To calculate the density of kerosene in g/cm3, we can use the formula:
Density = Mass / Volume
First, we need to find the volume of the kerosene.
1. Start by subtracting the mass of the empty density bottle from the mass of the bottle when filled with kerosene:
Mass of kerosene = Mass when filled with kerosene - Mass when empty
Mass of kerosene = 75g - 35g
Mass of kerosene = 40g
2. The volume of the kerosene can be determined by dividing its mass by its density.
Volume of kerosene = Mass of kerosene / Density of kerosene
Next, we need to find the density of kerosene. To do this, we can compare it to the density of water.
3. Subtract the mass of the empty density bottle from the mass of the bottle when filled with water:
Mass of water = Mass when filled with water - Mass when empty
Mass of water = 85g - 35g
Mass of water = 50g
4. The volume of the water can be determined by dividing its mass by its density, which is 1 g/cm3.
Volume of water = Mass of water / Density of water = 50g / 1g/cm3 = 50 cm3
Now we have both the volume of the water and the volume of the kerosene.
5. Finally, we can calculate the density of kerosene using the formula:
Density of kerosene = Mass of kerosene / Volume of kerosene
Density of kerosene = 40g / (50 cm3)
Density of kerosene ≈ 0.8 g/cm3
Therefore, the density of kerosene is approximately 0.8 g/cm3.