Mechanical Engineering - Hydraulics and Fluid Mechanics - Discussion
Discussion Forum : Hydraulics and Fluid Mechanics - Section 8 (Q.No. 14)
                   
                                       
                                14.
The density of a liquid in kg/m3 is numerically equal to its specific gravity.
 
                                    Discussion:
23 comments Page 1 of 3.
                
                        Fakhre Alam said: 
                         
                        1 decade ago
                
                In the metric system the density of water at 4°C is 1.00 g/cm3 (or 1.00 g/mL), 3 equivalent to 1000 kg/m3, and hence the specific gravity (which is dimensionless) of a liquid has the same numerical value as its density expressed in g/mL or Mg/m3.
                
                        Ahmed said: 
                         
                        10 years ago
                
                Density of water = 1000 kg/m^3.
The specific gravity of water due to water = 1.
Is 1 = 1000?
                The specific gravity of water due to water = 1.
Is 1 = 1000?
                        Shail said: 
                         
                        9 years ago
                
                No, The statement is actually False.
                
                        Sagar ladkat said: 
                         
                        9 years ago
                
                I think this question, there must be kg/liter.
                
                        Dhaval said: 
                         
                        9 years ago
                
                The answer should be False.
                
                        Muhammad Waqas said: 
                         
                        9 years ago
                
                You are right @Shail.
The statement should be like, The density of a liquid in g/cm^3 is numerically equal to its specific gravity. Why?
Specific gravity = density of a liquid / density of water...............(i)
Rearranging the equation.
Density of a liquid = (specific gravity)(density of water).
As density of water = 1 g/cm^3.
So,
Density of a liquid = (specific gravity)(1 g/cm^3).
Density of a liquid = specific gravity in g/cm^3.
Proved
                The statement should be like, The density of a liquid in g/cm^3 is numerically equal to its specific gravity. Why?
Specific gravity = density of a liquid / density of water...............(i)
Rearranging the equation.
Density of a liquid = (specific gravity)(density of water).
As density of water = 1 g/cm^3.
So,
Density of a liquid = (specific gravity)(1 g/cm^3).
Density of a liquid = specific gravity in g/cm^3.
Proved
                        Brij kishor said: 
                         
                        8 years ago
                
                As density of water is also equal to 1000 kg/m^3.
So,
Density of a liquid = ( specific gravity )( 1000 kg/m^3 )
Density of a liquid = specific gravity in 1000 kg/m^3.
in this way the given statement is true.
                So,
Density of a liquid = ( specific gravity )( 1000 kg/m^3 )
Density of a liquid = specific gravity in 1000 kg/m^3.
in this way the given statement is true.
                        Neeraj said: 
                         
                        8 years ago
                
                Its false.
                
                        Deepak maheshwari said: 
                         
                        8 years ago
                
                Statement is incorrect.
For example.
If you consider the mass density of water equal to 1000 kg/m3. Then specific gravity of water is equal to 1.
But 1 is not equal to 1000.
If you consider mass density in gm / cm3 which is 1 gm/cm3 for water then specific gravity is also 1.
1=1.
So the statement is correct for only unit gm/cm3.
The statement is not correct for unit KN/m3.
                For example.
If you consider the mass density of water equal to 1000 kg/m3. Then specific gravity of water is equal to 1.
But 1 is not equal to 1000.
If you consider mass density in gm / cm3 which is 1 gm/cm3 for water then specific gravity is also 1.
1=1.
So the statement is correct for only unit gm/cm3.
The statement is not correct for unit KN/m3.
                        Saurabh chauhan said: 
                         
                        7 years ago
                
                @Brij Kishor
The statement is wrong.
The Density of liquid = its specific gravity.--> False.
The density of liquid = its specific gravity * 1000--> True.
                The statement is wrong.
The Density of liquid = its specific gravity.--> False.
The density of liquid = its specific gravity * 1000--> True.
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