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Ira Lisetskai
1 month ago
5

At a location where the acceleration due to gravity is 9.807 m/s2, the atmospheric pressure is 9.891 × 104 Pa. A barometer at th

e same location is filled with an unknown liquid. What is the density of the unknown liquid if its height in the barometer is 1.163 m?
Physics
2 answers:
serg [3.5K]1 month ago
5 0

Answer:

8616.7468 \ kg/m^3

Explanation:

The measurement of pressure is indicated as p=\rho gh where p denotes the pressure, \rho signifies density, and h represents height

Given values include pressure p=9.891\times 10^4\ Pa, gravity's acceleration g=9.9870\ m/sec^2, and height =1.163 m

\rho =\frac{p}{gh}=\frac{9.891\times 10^4}{9.870\times 1.163}=8616.7468 \ kg/m^3

Yuliya22 [3.3K]1 month ago
3 0

Answer:

Density calculates to 8669.44 kg/m^3

Explanation:

At a location where the acceleration due to gravity is 9.807 m/s2, the atmospheric pressure is 9.891 × 10^4 Pa. An unknown liquid fills a barometer at this same location. The task is to determine the density of this liquid if its height in the barometer measures 1.163 m?

Solution

Pressure can be defined as force per unit area. Barometers derive atmospheric pressure P using the height h of a liquid column of unknown density.

Density is expressed as mass divided by volume

Pressure is articulated as

P=force/unit area

P=m*g/(A).......... 1

Therefore, based on density=mass/volume.............2

Volume =A*h, with Area multiplied by height

From equation 2

D=m/Ah

m=DAh...............3

By substituting equation 3 into equation 1

P=DAh *g/A

P=Dgh

9.891 × 10^4=D*1.163*9.81

D=9.891*10^(4)/(1.163*9.81)

D=8669.44 kg/m^3

Density computes to 8669.44 kg/m^3

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