a density bottle weighs 0.25N when empty,and 0.75N when filled with water and 0.65N when filled with alcohol.
(i)Find the volume of the empty bottle
(i) The density of the alchohol. Density of water =1000kg/m
Acceleration due to gravity= 10ms
It was not well understood
I don't get it.
To find the volume of the empty bottle and the density of the alcohol, we can use the equation:
Weight = mass × acceleration due to gravity
1. Find the volume of the empty bottle:
- The weight of the empty bottle is given as 0.25N.
- We can use the equation: weight = density × volume × acceleration due to gravity.
- Since the acceleration due to gravity is given as 10m/s^2, we can rearrange the equation to solve for volume: volume = weight / (density × acceleration due to gravity).
- Plugging in the values given:
volume = 0.25N / (density of water × 10m/s^2)
= 0.25N / (1000kg/m^3 × 10m/s^2)
= 0.25N / 10000 kg⋅m/s^2
= 2.5 × 10^(-5) m^3 or 2.5 cm^3
Therefore, the volume of the empty bottle is 2.5 cm^3.
2. Find the density of the alcohol:
- The weight of the bottle filled with water is given as 0.75N.
- The weight of the empty bottle is subtracted from the weight of the bottle filled with water to get the weight of the water alone: 0.75N - 0.25N = 0.5N.
- We can use the equation: weight = density × volume × acceleration due to gravity.
- Since the volume is the same as the volume of the empty bottle (2.5 cm^3), we can rearrange the equation to solve for density: density = weight / (volume × acceleration due to gravity).
- Plugging in the values given:
density of alcohol = 0.5N / (2.5 × 10^(-5) m^3 × 10m/s^2)
= 0.5N / (2.5 × 10^(-4) kg⋅m/s^2)
= 2000 kg/m^3
Therefore, the density of the alcohol is 2000 kg/m^3.
(i) weight of water ... 0.75 N - 0.25 N = 0.50 N
mass of water = weight of water / g = 0.50 N / 10 = 0.05 kg = 50 g
volume of water is ... 1 cm^3 per g
(ii) alcohol density = water density * [(0.65 - 0.25) / (0.75 - 0.25)]