Question

The equation of continuity leads to:
(A) Law of conservation of moments of liquid flow
(B) Law of conservation energy
(C) Law of equipartition of energy
(D) Law of conservation of mass distribution

Answer 1

Hint
It should be known to us that the continuity equation reflects the fact that mass is conserved in any non-nuclear continuum mechanics analysis. The equation is developed by adding up the rate at which mass is flowing in and out of a control volume, and setting the net in-flow equal to the rate of change of mass within it. Continuity principle is known as the principal of fluid mechanics. It states that what flows into a defined volume in a defined time, minus what flows out of that volume in that time, must accumulate in that volume. The principle is a consequence of the law of conservation of mass. Based on this concept we have to answer this question.

Complete step by step answer
We should know that the law of conservation of mass or principle of mass conservation states that for any system closed to all transfers of matter and energy, the mass of the system must remain constant over time, as the system's mass cannot change, so quantity can neither be added nor be removed.
Thus, we can say that the mass of the reactants and products is equal and is not dependent on the physical state of the substances. The equation below shows a general equation for a reaction, and the amounts of the substance are written underneath. The law of conservation of energy can be seen in these everyday examples of energy transference: Water can produce electricity. Water falls from the sky, converting potential energy to kinetic energy. This energy is then used to rotate the turbine of a generator to produce electricity.
Hence, we can say that vA = constant.
So, the correct answer is option (D).

Note
It should be known to us that the Continuity principle is based on the principle of mass conservation for a steady, one-dimensional flow, with one inlet and one outlet. This equation is called the continuity equation for steady one-dimensional flow. The continuity equation is important for describing the movement of fluids as they pass from a tube of greater diameter to one of smaller diameter. It is critical to keep in mind that the fluid has to be of constant density as well as being incompressible. The continuity equation reflects the fact that mass is conserved in any non-nuclear continuum mechanics analysis. The equation is developed by adding up the rate at which mass is flowing in and out of a control volume, and setting the net in-flow equal to the rate of change of mass within it.