Q4. State whether the following are true or false with a brief
explanation (1-2 sentences).
(i) Given a control volume with one inlet and two exits, the two
exits must have identical mass flow rates.
(ii) You are given a control volume with one inlet and one exit
such that more ‘mechanical energy’ is coming in than going out
(‘mechanical energy’ is the sum of enthalpy, kinetic energy and
potential energy per unit mass), but are given no information on
the work or heat interactions. The total energy (Ecv) within the
control volume must increase with time.
(iii) You are given a control volume where the mass is changing
with time but the control volume itself has no heat or work
interactions with the surroundings. The total energy within this
control volume must also change with time.
(iv) For a one-inlet, one-exit control volume at steady state, the
volumetric flow rates must be equal at the inlet and the
exit.
(v) An open control volume (i.e., with inlets and exits), by
definition, always describes the same region and therefore, the
specific volume of matter inside cannot change.
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