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JAMB Physics 2023 Paper

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Question : 39

Total: 65

An open-tube mercury manometer is used to measure the pressure in a gas tank. When the atmospheric pressure is 101,325

P_a

, what is the absolute pressure in

P_a

in the tank if the height of the mercury in the open tube is 25 cm higher. density of mercury =

13600\,\text{kg/m}^3, g = 9.8\,\text{m/s}^2

108,986 Pa
165,238 Pa
122,364 Pa
134,645 Pa

Solution:

density (ρ) = 13600 $\text{kg}\,\text{m}^{-3}$ ; g = $9.8\,\text{m}\,\text{s}^{-2}$

P_{\text{atm}}

=101,325 Pa; ρ=13600

\text{kg}\,\text{m}^{-3}

Pabs=

P_{\text{atm}}

+ρgh

⇒Pabs=101,325+13600 x 9.8 x 0.25

⇒Pabs=101,325+33320

⇒ Pabs=134,645Pa

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