Question

We propose to heat a house in the winter with a heat pump. The house is to be maintained at 20°C at all times. When the ambient temperature outside drops to -10°C, the rate at which heat is lost from the house is estimated to be 25 kW. What is the minimum electrical power (in kW) required to drive the heat pump? Use the correct sign convention to indicate the direction of work. Hint: the minimum power happens with the most efficient heater.
media%2Ffad%2Ffad68536-f8c3-48dc-b259-86
0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
We propose to heat a house in the winter with a heat pump. The house is...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Assignment Name: The second law of Thermodynamics for a heat pump Homework Purpose: Apply the second...

    Assignment Name: The second law of Thermodynamics for a heat pump Homework Purpose: Apply the second law of Thermodynamies and Carnot cycle to a heat pump Task We propose to heat a house in the winter with a heat pump. The house is to be maintained at 20°C at l mes. When the ambient temperature outside drops to -10°C, the rate at which heat is lost from the house is estimated to be 25 kw. What is the minimum electrical...

  • A heat pump is to be used to heat a house in winter and then reversed...

    A heat pump is to be used to heat a house in winter and then reversed to cool the house in summer. The interior space is to be maintained at 20oC. Heat transfer through walls and roof is estimated to be χ = 0.525 kJ/sec per degree difference in temperature between inside and outside. (6a) (8p) In winter if the outside temperature is 5oC, what is the minimum power required to drive the heat pump? (6b) (12p) For the same...

  • 5, (25 points) A Carnot heat pump is used to maintain a house at 20 °C...

    5, (25 points) A Carnot heat pump is used to maintain a house at 20 °C in winter and consumes 8 kW of power (electricity) when operating. On a day temperature outside the house is -3 °C, the house is estimated to lose heat at an average rate of 80,000 kJ/h. (Sa). (2p) Please identify the hot reservoir and the cool reservoir of this heat pump. (5b). (2p) Please draw of schematic diagram of this heat pump-house heating system with...

  • On a cold winter day where the outside temperature is -10o C, a heat pump provides...

    On a cold winter day where the outside temperature is -10o C, a heat pump provides 20 kW to heat a house to 20o C. The heat pump has a COPHP of 4 at the maximum power. The next day a storm brings the outside temperature down to −15o C. If the ratio of COPHP and the reversible COPrev for day 1 and day 2 is the same, COPHP for both days is the same, and that the house loses...

  • 2. A heat pump is operated to maintain a home at 25 °C when the outside temperature is only -5 °C...

    2. A heat pump is operated to maintain a home at 25 °C when the outside temperature is only -5 °C. (a) If the house requires 50 kW heat, what is the power required for the heat pump? Assume the heat pump to be a Carnot heat pump (b) If an electric heater was used for this purpose instead, assuming an electric current of 5A, what would be the required resistance of the heater? (c) If electricity costs 10 cents...

  • Problem 3 A home in a Midwestern city is being heated with a heat pump in...

    Problem 3 A home in a Midwestern city is being heated with a heat pump in a winter day where the outside temperature is 5 C. Due to poor insulation, the home loses 800 KW of heat to the outside surroundings. An space heater inside the room generates 150 KW and another 120 KW of heat is generated by all the appliances and people in the room. The home is desired to be maintained at 25°C The heat pump consumes...

  • A house uses a heat pump to maintain the indoor temperature at 22 C on a...

    A house uses a heat pump to maintain the indoor temperature at 22 C on a cold winter day when the outside temperature is -10 C. On this day, the house receives heat from the heat pump at a rate of 24 kW. Is it possible for this heat pump to operate at 2.5 kW? Justify your answer.

  • A heat pump is used to heat a house and maintain it at 24°C. On a...

    A heat pump is used to heat a house and maintain it at 24°C. On a winter day when the outdoor air temperature is -5°C (negative value), the house is estimated to lose heat at a rate of 80,000 kJ/h. Determine the minimum power required to operate this heat pump if heat is extracted from (a) the outdoor air at -4 oC and (b) the well water at 12C.

  • Heat Pump

    5c. A heat pump is used to heat a house in the winter and cool it in the summer. The loads are 5000W in the winter with a house temperature of 20º C and 4000W in the summer with a house temperature of 25º C. Determine the minimum electric power in both cases if the year-round temperature three meters below the ground is 10º C below the ambient temperature. State all assumptions made. (2 marks)     

  • A reversible heat engine receives heat of 2000 kJ from a furnace at temperature of 600...

    A reversible heat engine receives heat of 2000 kJ from a furnace at temperature of 600 0C and rejects waste heat into the house. The portion of work produced by this heat engine utilized to drive a reversible heat pump to warmup the same house during the winter. The house is to be maintained at 21 0C at all times even though outside temperature drops to -15 0C. If the net-work output of the combined heat engine and heat pump...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT