Question

Define mass and volume flow rates. How are they related to each other?

Answer 1

The mass flow rate and volume flow rate are two different ways to quantify the flow of fluid. They are related to each other through the equation of continuity, which states that for an incompressible fluid, the mass flowing into a pipe must equal the mass flowing out of the pipe.

Step-by-step explanation:

The mass flow rate and volume flow rate are two different ways to quantify the flow of fluid. Mass flow rate is the rate at which a mass of fluid passes through a point, and it is determined by the density of the fluid, the cross-sectional area of the flow, and the velocity of the fluid. Volume flow rate, on the other hand, is the rate at which a volume of fluid passes through a point, and it is determined by the cross-sectional area and the velocity of the fluid.

The mass flow rate and volume flow rate are related to each other through the equation of continuity, which states that for an incompressible fluid, the mass flowing into a pipe must equal the mass flowing out of the pipe. This means that if the cross-sectional area of the flow decreases, the velocity of the fluid must increase in order to maintain the same flow rate. Conversely, if the cross-sectional area increases, the velocity must decrease.

Answer 2

The mass of a substance that passes per unit of time is called the mass flow rate, the unit of mass flow rate is kilogram per second in SI units.

`\rho=\frac{\dot{M}}{\dot{V}}`

Step-by-step explanation:

Consider the provided information.

We need to Define mass and volume flow rates and how they are related.

The mass of a substance that passes per unit of time is called the mass flow rate, the unit of mass flow rate is kilogram per second in SI units.

The volume of fluid which passes per unit time is called volume flow rate.

The relation between them is:

The Mass flow rate = Density × Volume flow rate

Or

`\rho=\frac{\dot{M}}{\dot{V}}`

Where ρ is the density.