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Question

# The Heights of mercury surface in the two arms of the manometer shown are 2 cm and 8 cm. find the pressure of the gas in the cylinder? Patm = 105 N/m2 The density of mercury =13600kgm3. Acceleration due to gravity g=10ms2

A

1.08 × 105 N/m2

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B

1.08 × 105 N/cm2

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C

1.08 × 106 N/m2

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D

1.08 × 106 N/cm2

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Solution

## The correct option is B 1.08 × 105 N/cm2 Pressure of gas contained in the chamberPg = Atmospheric pressureP0 + pressure due to the (8-2=6cm) mercury column. Pg=P0+ρgh Where h = (8 - 2)cm = 6 cm =0.06 m The density of mercury ρ=13600kgm3. Atmospheric pressureP0=105Pa Pg=105+(13600×10×6100) =108160Nm2 =1.08160×105Pa

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