# PS2 - the technical feasibility of generating energy using...

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ChemE 3130 – Chemical Engineering Thermodynamics Study Problem Set 2 (2) Hypothetical Carnot Engine (based on SVNA 5.7) Large quantities of liquefied natural gas (LNG) are shipped by ocean tanker. At the unloading port, provision is made for vaporization of the LNG so that it may be delivered to pipeline as a gas. The LNG arrives in the tanker at atmospheric pressure and at 113.7 K for unloading of LNG as a vapor the rate of 9000 m 3 s -1 , as measured at 25 o C and 1 atm, and assuming that availability of an adequate heat source at 30 o C, what is the maximum possible power obtainable and what is the rate of heat transfer from the heat source? Assume that LNG at 25 o C and 1 atm is an ideal gas with the molar mass of 17. Also assume that LNG vaporizes only, absorbing only its latent heat of 512 kJ/kg at 113.K. [Hint insert a Carnot engine between the surroundings and the LNG tanker]. [Suppose you can insert a heat engine operating at 50% of the Carnot efficiency, comment on
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Unformatted text preview: the technical feasibility of generating energy using the proposed approach] (3) Carnot engine operating with finite temperature reservoirs (based on SVNA 5.14) A Carnot engine operates between an infinite hot reservoir and a finite cold reservoir of the heat capacity C t C. (a) Determine an expression for the work of pain as a function of , T H (constant), T C (t), and the initial cold reservoir temperature T Co. (b) What is the maximum work attainable? This corresponds to infinite time, when T C becomes equal to T H . Hint 1: Use the differential form of Carnots equation: dQ H dQ C = T H T C ( t ) Hint 2: Split the differential energy balance as dW+dQ c +dQ H =0 (4) MDK 2.59 - Carnot Refrigeration cycle (5) MDK 3.17 Change of state across a throttle (6) MDK 3.36 & 3.37 Rankine power generation cycle...
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## This note was uploaded on 11/10/2009 for the course CHEM 313 at Cornell University (Engineering School).

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PS2 - the technical feasibility of generating energy using...

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