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? P_atm = 10⁵N/m²

1.08 × 10⁵ N/m²

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1.08 × 10⁵ N/cm²

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1.08 × 10⁶ N/m²

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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 chamber = pressure at point $A$ = pressure at point $B$

$P_{B} = P_{a t m} + p g h$

Where $h = (8 - 2) c m = 6 c m$

$P_{B} = 10^{5} + (13600 \times 10 \times \frac{6}{100})$

$= 108160 N m^{- 2}$
$= 1.08160 \times 10^{5} P a$

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