a drum holds 90 kg of water or 60 kg of gasoline. determine (a) the relative density of gasoline (b) the density of gasoline (c) the capacity of drum.
a. what is .6/.9 ?
b. density=60kg/90dm^3
c. capacity volume= 90dm^3
C
To solve this problem, we'll need to use the formulas for relative density and density.
(a) Relative density is defined as the ratio of the density of a substance to the density of a reference substance, typically water. In this case, we will compare the density of gasoline to the density of water.
Relative Density of Gasoline = Density of Gasoline / Density of Water
(b) The density of gasoline is the mass of gasoline divided by its volume. To calculate the density of gasoline, we need to know the mass and the volume. We are given that a drum holds 60 kg of gasoline, but we don't have specific information about the volume.
(c) The capacity of a drum indicates the maximum amount of material it can hold. In this case, we need to determine the drum's volume.
Let's start solving the problem by calculating the relative density of gasoline.
(a) Relative Density of Gasoline:
Given:
Density of Water = 1000 kg/m^3 (standard value)
Since we are not given the density of gasoline, we will first need to calculate it.
(b) Density of Gasoline:
Given:
Mass of Gasoline = 60 kg
Density of Gasoline = Mass of Gasoline / Volume of Gasoline
Next, let's calculate the capacity of the drum.
(c) Capacity of Drum:
Given:
Mass of Water = 90 kg
Density of Water = 1000 kg/m^3 (standard value)
The capacity of the drum can be calculated by dividing the mass of water by the density of water.
Now, let's go step by step to calculate all the required values.
(a) Relative Density of Gasoline:
Relative Density of Gasoline = Density of Gasoline / Density of Water
To find the relative density of gasoline, we need the density of gasoline, which we will calculate in the next step.
(b) Density of Gasoline:
Density of Gasoline = Mass of Gasoline / Volume of Gasoline
Since we don't have the volume of gasoline, we cannot directly calculate its density. However, if we assume that the volume of gasoline will be the same as the volume of water (since both are in the same drum), we can use the density of water to find the density of gasoline.
Density of Gasoline = Mass of Gasoline / Volume of Water
Note: This assumption may not be entirely accurate, but without specific information about the volume of gasoline, it is the best estimate we can make.
(c) Capacity of Drum:
Capacity of Drum = Mass of Water / Density of Water
Let's calculate each of these step by step:
(a) Relative Density of Gasoline:
Relative Density of Gasoline = Density of Gasoline / Density of Water
(b) Density of Gasoline:
Density of Gasoline = Mass of Gasoline / Volume of Water
(c) Capacity of Drum:
Capacity of Drum = Mass of Water / Density of Water
Please provide the mass of the water, and any specific value for the volume, so we can proceed with the calculations.
To determine the relative density of gasoline, divide its density by the density of water.
(a) The relative density of gasoline can be calculated as follows:
Density of water = 90 kg ÷ volume of water
Density of gasoline = 60 kg ÷ volume of gasoline
Relative density of gasoline = Density of gasoline ÷ Density of water
To calculate the density of gasoline and the capacity of the drum, we need to use the given information that the drum can hold 90 kg of water or 60 kg of gasoline.
(b) To find the density of gasoline, we divide its mass by its volume. As the mass of gasoline is given (60 kg), we need to find its volume. Since the drum holds 60 kg of gasoline, and we know the density of gasoline, we can calculate its volume using the formula:
Volume = Mass ÷ Density
Density of gasoline = 60 kg ÷ Volume
(c) To determine the capacity of the drum, we need to calculate its volume. Since the drum can hold 90 kg of water, and we know the density of water, we can calculate its volume using the formula:
Volume = Mass ÷ Density
Capacity of drum = Volume
Let's plug in the values to find the answers.