A furnace, shown in Fig.P5.115, can deliver heat, QH1, at

Chapter 5, Problem 115HP

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QUESTION:

Problem 115HP

A furnace, shown in Fig.P5.115, can deliver heat, QH1, at TH1, and it is proposed to use this to drive a heat engine with a rejection at Tatm instead of direct room heating. The heat engine drives a heat pump that delivers QH2 at Troom using the atmosphere as the cold reservoir. Find the ratioQH2/QH1 as a function of the temperatures. Is this a better set up than direct room heating from the furnace?

FIGURE P5.115

Questions & Answers

QUESTION:

Problem 115HP

A furnace, shown in Fig.P5.115, can deliver heat, QH1, at TH1, and it is proposed to use this to drive a heat engine with a rejection at Tatm instead of direct room heating. The heat engine drives a heat pump that delivers QH2 at Troom using the atmosphere as the cold reservoir. Find the ratioQH2/QH1 as a function of the temperatures. Is this a better set up than direct room heating from the furnace?

FIGURE P5.115

ANSWER:

Solution 115 HP

Step 1 of 3

For a furnace, given in figure P5.115 delivers a heat of  for heat engine and   for heat pump at    and at room temperature . so we need to find the ratio of  and   as a function of temperature and also to explain whether this is a better setup for the furnace than the direct room heating.

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