The density of the unknown liquid is 650.67 kg/m³
Determine the density of the unknown liquid
First step : determine the mass in air
The Tension in air = mg
therefore Mass in air ( m ) = Tension in air / g
= 3.78 kg
Considering Tension in water
T = 29.6 N
29.6 = 4/3 * πR³ * ( р - б ) g ----- ( 1 )
where : р = mass density, б = water density
Considering Tension in other liquid
T = 19.1 N
19.1 = 4/3 * πR³ * ( р - б' ) g ------ ( 2 )
Final step : Determine the density of the unknown liquid
Divide equation ( 1 ) by equation ( 2 )
1.54 = ( р - б ) / ( р - б' )
0.54 р + б = 1.54 * б'
therefore ( б' ) density of uknown liquid
= 650.67 Kg/m³
Hence we can conclude that The density of the unknown liquid is 650.67 kg/m³
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