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A control volume is   
  • a)
    An isolated system
  • b)
    A closed system but heat and work can cross the boundary
  • c)
    A specific amount of mass in space
  • d)
    A fixed region in space where mass, heat and work can cross the boundary of that region
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A control volume is a)An isolated systemb)A closed system but heat and...
A control volume is a mathematical abstraction employed in the process of creating mathematical models of physical processes. In an inertial frame of reference, it is a volume fixed in space or moving with constant flow velocity through which the continuum (gas, liquid or solid) flows. The surface enclosing the control volume is referred to as the control surface.

At steady state, a control volume can be thought of as an arbitrary volume in which the mass of the continuum remains constant. As a continuum moves through the control volume, the mass entering the control volume is equal to the mass leaving the control volume. At steady state, and in the absence of work and heat transfer, the energy within the control volume remains constant. It is analogous to the classical mechanics concept of the free body diagram.
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Most Upvoted Answer
A control volume is a)An isolated systemb)A closed system but heat and...
Control volume is a volume in space of special interest for particular analysis.
The surface of the control volume is referred as a control surface and is a closed surface.
The surface is defined with relative to a coordinate system that may be fixed, moving or rotating.
Mass, heat and work can cross the control surface and mass and properties can change with time within the control volume.
Examples: turbines, compressors, nozzle, diffuser, pumps, heat exchanger, reactors, a thrust-producing device, and combinations of these.
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Community Answer
A control volume is a)An isolated systemb)A closed system but heat and...
A control volume is a fixed region in space where mass, heat, and work can cross the boundary of that region.

A control volume is a fundamental concept in thermodynamics and fluid mechanics that is used to analyze and understand the behavior of a fluid or a thermodynamic system. It is a fixed region in space that is chosen for analysis to study the flow of mass, energy, and momentum across its boundaries. The control volume can be of any shape or size, and it can be stationary or moving.

Key Points:
- Fixed region: A control volume is a region in space that remains fixed during the analysis. This means that the boundaries of the control volume do not move or deform over time. The control volume can be chosen based on the specific problem being analyzed, and it can be defined by physical boundaries, such as walls or surfaces, or by imaginary boundaries, such as control surfaces or control planes.

- Mass, heat, and work: A control volume is a region where mass, heat, and work can cross its boundaries. Mass can enter or leave the control volume through its boundaries, heat can be transferred into or out of the control volume, and work can be done on or by the control volume. This allows for the analysis of mass flow rates, energy transfer, and work interactions within the control volume.

- Mass flow rate: The control volume concept allows for the analysis of mass flow rates, which is important in studying fluid flow and thermodynamic processes. By defining the control volume, the mass entering or leaving the volume can be quantified, and the conservation of mass principle can be applied to analyze the flow behavior.

- Energy transfer: The control volume concept also enables the analysis of energy transfer. Heat can be transferred into or out of the control volume through its boundaries, and work can be done on or by the control volume. This allows for the analysis of energy balance and the application of the first law of thermodynamics to study energy interactions within the control volume.

- Momentum transfer: In fluid mechanics, the control volume concept is used to analyze momentum transfer. By defining a control volume, the momentum entering or leaving the volume can be quantified, and the conservation of momentum principle can be applied to study fluid flow and the forces acting on the control volume.

In conclusion, a control volume is a fixed region in space where mass, heat, and work can cross the boundary of that region. It is a fundamental concept in thermodynamics and fluid mechanics that enables the analysis of mass flow rates, energy transfer, and momentum transfer within the defined region.
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