A density bottle weighs 0.25N when empty, 0.75N when filled with water and 0.65N when filled with alcohol.Calculate:
a.volume of the bottle
b.the density of alcohol.
Not well understood
R.d = weight of substance /weight of water
Weight = mass of water by gravity
Force= mass x gravity
Make m the subject
M = f/g
M= 0.65-0.25/10
M=0.4/10
M= 4kg
Rd= wa-wl/wa-ww
Rd=0.25-0.65/0.25-0.75
Rd=0.8
Find the density of alcohol
Rd= density of alcohol/ density of water
0.8=density of alcohol/1000kg/m3
Density of alcohol =800kg/m3
Density = mass x volume
Volume = density/ mass
Volume = 800/ 4
Volume = 200 m3
Pls i don't get you
To calculate the volume of the bottle, we can use the concept of density. Density is defined as the mass of an object per unit volume. Mathematically, it can be expressed as:
Density = Mass / Volume
Given that the density bottle weighs 0.25N when empty, we can assume that it has negligible mass. So, the mass of the empty bottle is approximately 0 kg.
When the bottle is filled with water, it weighs 0.75N. To determine the mass of water, we can use the equation:
Mass of Water = Weight of Water / Acceleration due to gravity
The acceleration due to gravity is typically 9.8 m/s². Therefore, we can calculate the mass of water as:
Mass of Water = 0.75N / 9.8 m/s² ≈ 0.0765 kg
Now, let's calculate the volume of water:
Density of Water = Mass of Water / Volume of Water
The density of water is approximately 1000 kg/m³. Rearranging the equation, we get:
Volume of Water = Mass of Water / Density of Water
Volume of Water = 0.0765 kg / 1000 kg/m³ ≈ 0.0000765 m³
Similarly, when the bottle is filled with alcohol, it weighs 0.65N. We can follow the same steps to calculate the volume of alcohol:
Mass of Alcohol = Weight of Alcohol / Acceleration due to gravity = 0.65N / 9.8 m/s² ≈ 0.0663 kg
Density of Alcohol = Mass of Alcohol / Volume of Alcohol
Let's denote the volume of alcohol as V. Rearranging the equation, we get:
Volume of Alcohol = Mass of Alcohol / Density of Alcohol
Since we need to calculate the density of alcohol, we can rewrite the equation as:
Density of Alcohol = Mass of Alcohol / Volume of Alcohol
Substituting the values, we get:
Density of Alcohol = 0.0663 kg / V
To find the value of V, we need more information.
1 kg = 9.8 N
1 kg water has a volume of 1 liter (or 1000 cc ... cubic centimeters)
... the density of water is ... 1 kg /L = 1 gram/cc
.50 N of water is ... (.50 / 9.8) kg of water
... the volume of the bottle (in cm^3) is the mass of the water in grams
.40 N of alcohol is the same volume as .50 N of water
... so the density of alcohol is 4/5 the density of water ... (.80 g/cm^3)