In a horizontal pipe line the pressure falls by 16 Nm – 2 between two points separated by a distance of 2 km. Density of oil is 800 kg m– 3. Change in kinetic energy per kg of the oil flowing in the tube is :

Engineering

Physics

BernoulIis Equation and Equation of Continuity

Question

In a horizontal pipe line the pressure falls by 16 Nm^{– 2} between two points separated by a distance of 2 km. Density of oil is 800 kg m^{– 3}. Change in kinetic energy per kg of the oil flowing in the tube is :

2 × 10^{– 2} J/kg

2 × 10³ J/kg

2 × 10^{– 3} J/kg

2 × 10² J/kg

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$\frac{p_{1}}{ρg} + \frac{v_{1}^{2}}{2 g} = \frac{p_{2}}{ρg} + \frac{v_{2}^{2}}{2 g}$

$p_{1} - p_{2} = \frac{ρ}{2} (v_{2}^{2} - v_{1}^{2})$

$\frac{1}{2} (v_{2} {}^{2}- {v_{1}}^{2}) = \frac{16}{800} = 2 \times 10^{- 2} J / g$ .