If the specific heat of the condenser cooling water is assumed to be unity and it is desired to limit the condenser cooling water temperature change to 50°F in the condenser, determine the pounds of cooling water required per pound of steam for the ideal Rankine cycle operated from 600 psia and 600°F to 2 psia. The condensate is assumed to be saturated liquid.
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Question
If the specific heat of the condenser cooling water is assumed to be unity and it is desired to limit the condenser cooling water temperature change to 50°F in the condenser, determine the pounds of cooling water required per pound of steam for the ideal Rankine cycle operated from 600 psia and 600°F to 2 psia. The condensate is assumed to be saturated liquid.
Solution
Step 1 of 2
Consider the given data as follows.
The change in cooling water’s temperature is \(\Delta T = 50\;^\circ {\rm{F}}\).
From the steam tables, we can obtain the specific enthalpy as follows.
For \(2\;{\rm{psia}}\), the specific enthalpy of a saturated vapor is,
\({h_g} = 1116.1\;{\rm{Btu/l}}{{\rm{b}}_{\rm{m}}}\)
For \(600\;{\rm{psia}}\), the enthalpy of saturated liquid is,
\({h_f} = 616.7\;{\rm{Btu/l}}{{\rm{b}}_{\rm{m}}}\)
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