Urgent. A density bottle weigh 0.25 when empty and 0. 75 when. Filled with water and 0.65N when filled with alcohol calculate the volume of water,the density of alcohol. Take density of water=1000kg/m3 acceleration due to gravity= 10m/s
ok, massbottle=m=.25N/9.8kg/N=250/9.8 grams
mass of water= 750/9.8 grams-massbottle
mass water=you do that math (500/9.8 grams)
volume bottle=masswater/density=
= 500/9.8*1g/cm^3=500/9.8 cm^3
alcohol:
massalcohol=650/9.8-250/9.8=400/9.8 grams
density alcohol=above mass/volume
I don't understand how you got the answer
Please explain it well for me to understand
To calculate the volume of water and the density of alcohol using the given information, we can use the formula:
Density = Mass / Volume
1. First, let's calculate the mass of water:
- The density bottle weighs 0.25N when empty and 0.75N when filled with water.
- Therefore, the mass of the water is the difference between the two weights:
Mass of water = Weight with water - Weight empty
Mass of water = 0.75N - 0.25N
Mass of water = 0.5N
2. Next, let's calculate the volume of water:
- The density of water is given as 1000 kg/m^3.
- The acceleration due to gravity is given as 10 m/s.
- We can relate the weight (force) to mass and acceleration due to gravity using the formula:
Weight = Mass × Acceleration due to gravity
- Rearranging the formula, we get:
Mass = Weight / (Acceleration due to gravity)
- Substituting the given values:
Mass of water = 0.5N / 10 m/s
Mass of water = 0.05 kg
- Now, we can calculate the volume of water using the formula:
Density = Mass / Volume
1000 kg/m^3 = 0.05 kg / Volume of water
Volume of water = 0.05 kg / 1000 kg/m^3
Volume of water = 0.00005 m^3
3. Finally, let's calculate the density of alcohol:
- The density of alcohol can be found using the formula for density:
Density = Mass / Volume
- We already have the mass of the alcohol (0.05 kg), so we need to find the volume of alcohol.
- Using the weight of the alcohol-filled density bottle (0.65N) and the weight of the empty bottle (0.25N), we can find the mass of alcohol in the same way as we did for the water.
Mass of alcohol = Weight with alcohol - Weight empty
Mass of alcohol = 0.65N - 0.25N
Mass of alcohol = 0.4N
- Now we can calculate the density of alcohol:
Density of alcohol = Mass of alcohol / Volume of alcohol
Density of alcohol = 0.4N / Volume of alcohol
Therefore, with the given information, we have calculated the volume of water as 0.00005 m^3 and the density of alcohol as 0.4N / Volume of alcohol.