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Considering the form of conservation mass: V1A1=V2A2, then which of the following statements is FALSE?a) This form of conservation of mass applies for the situation of constant densityb) This applies when there is one inlet but more than 1 outletc) This applies when the inflow and outflow velocities are uniformd) This applies for a steady flow

Question

Considering the form of conservation mass: V1A1=V2A2, then which of the following statements is FALSE?a) This form of conservation of mass applies for the situation of constant densityb) This applies when there is one inlet but more than 1 outletc) This applies when the inflow and outflow velocities are uniformd) This applies for a steady flow

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Solution

The statement that is FALSE is: a) This form of conservation of mass applies for the situation of constant density.

The equation V1A1=V2A2 is actually the equation for the conservation of volume flow rate, not mass. This equation is derived from the principle of conservation of mass, but it assumes that the fluid density is constant. If the fluid density is not constant, then the mass flow rate (which is the product of density, velocity, and area) would not be conserved, even if the volume flow rate (the product of velocity and area) is conserved. Therefore, the statement is false because the equation V1A1=V2A2 does not apply to situations where the density is not constant.

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