Jorge wishes to observe the progress of his vacuum pump in evacuating a tall bell jar for the purpose of demonstrating that sound waves do not travel in a vacuum. So, Jorge places a mercury barometer inside the bell jar and follows the height of the mercury column as the pump chugs away. When he observes a height of 8.69 mm, what fraction of atmospheric pressure, expressed as a percentage, has Jorge achieved in his bell jar? The density of mercury is 1.36 × 10 4 kg/m 3 and the standard atmospheric pressure is 1.01 × 10 5 Pa. The acceleration g due to gravity is 9.81 m/s 2 . g

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boffeemadrid boffeemadrid · Answer 1 · 2019-12-09T08:33:57+01:00

Answer:

1.147 %

Explanation:

[tex]\rho[/tex] = Density of mercury = [tex]1.36\times 10^4\ kg/m^3[/tex]

g = Acceleration due to gravity = 9.81 m/s²

h = Height of mercury = 8.69 m

Standard atmospheric pressure = [tex]1.01\times 10^5\ Pa[/tex]

6.55 mmHg converting to Pa

[tex]\rho gh\\ =1.36\times 10^4\times 9.81\times 8.69\times 10^{-3}\\ =1159.38504\ Pa[/tex]

Dividing air pressure by the above value

[tex]\frac{1159.38504}{1.01\times 10^5}\times 100=1.147\ \%[/tex]

The fraction of atmospheric pressure is 1.147 %