Question

A 10-m3 vessel is being filled with steam at 0.8 MPa and 400°C. It enters the tank through a 0.05 m radius pipe. Calculate the rate at which the density in the tank is varying when the steam velocity in the pipe is 20 m/s and choose the nearest value

Answer 1

Let the mass of steam inside the vessel is

where is density and is volume of vessel

The rate of increment of mass inside the vessel (as V is constant)

This increment rate is equal to the incoming mass flow rate

-eq(1)

For steam at 0.8 MPa and 400⁰C, (From steam tables)

From Eq(1):

-ANS