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Expansion of Liquids

Consider an a...

Question

Consider an actual regenerative Rankine cycle with one open feed water heater. For each $k g$ steam entering the turbine, if $m k g$ steam wit ha specific enthalpy of $h_{1}$ is balde from the turbine, and the specific enthalpy of liquid water entering the heater is $h_{2}$ , then $h_{3}$ the specific enthalpy of saturated liquid leaving the heater is equal to

A

m h_{1} - (h_{2} - h_{1})

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B

h_{1} - m - (h_{2} - h_{1})

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C

h_{1} - m (h_{2} - h_{1})

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D

m h_{2} - (h_{2} - h_{1})

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Solution

The correct option is C $h_{1} - m (h_{2} - h_{1})$
$m h_{1} + (1 - m) h_{2} = h_{3}$ (by heat balance)
$h_{3} = h_{2} - m (h_{2} - h_{1}$

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