A tank of oil has height of $4 \mathrm{~m}$ and density of $850 \mathrm{~kg} \mathrm{~m}^{-3}$. The gauge…

A tank of oil has height of $4 \mathrm{~m}$ and density of $850 \mathrm{~kg} \mathrm{~m}^{-3}$. The gauge pressure at the bottom of the tank is (1 atm $=10^5 \mathrm{~Pa}$, Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )
  1. $34 \mathrm{kPa}$
  2. $384 \mathrm{kPa}$
  3. $284 \mathrm{kPa}$
  4. $200 \mathrm{kPa}$

Solution

Tank of oil has height, $h=4 \mathrm{~m}$ Density, $\mathrm{P}=850 \mathrm{~kg} / \mathrm{m}^3$ Gauge pressure, $P=\rho \mathrm{gh}$ $=850 \times 10 \times 4=34 \mathrm{kPa}$

Asked in: AP EAMCET 2023 (16 May Shift 1)

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