Question

A fluid flows through a pipe of constant circular cross-section diameter 1.1m with a mean velocity of 50cm/s. The mass flow rate of the flow through the pipe, given by the formula mass flow rate = (density) (mean velocity) (cross - sectional area), is measured to be 110 kg/s. Find the specific gravity, specific weight and specific volume of the fluid.

Answer 1

Answer:

Explanation:

Given

diameter(d)=1.1 m

mean velocity(u)=50 cm/s

mass flow rate(m)=110 kg/s

$A=0.950 m^2$

$m=\rho \cdot A\cdot u$

where $\rho$ =density of fluid

$110=\rho \times 0.95\times 0.5$

$\rho =231.46 kg/m^3$

Therefore specific gravity$=\frac{\rho }{\rho _{water}}$

$=\frac{231.46}{1000}=0.231$

Specific weight$=\rho \cdot g=231.46\times 9.81=2270.70 kg/m^2-s^2$

specific volume$=\frac{1}{density}$

$=\frac{1}{231.46}=0.00432 m^3/kg$