Work Air Conditioner Must Do To Keep Room Constant Temperature

In summary, to keep a room at 27C with surroundings at 42C and heat input of 2,000 Cal s-1, the minimum work the air conditioner must do is approximately 95.15 Cal s-1 or 398.1 J s-1, assuming a coefficient of performance of 20.01. However, it is recommended to double check the expression for work, taking into account the temperature conversion to Kelvin and the correct COP equation for a refrigerator.
  • #1
trevor51590
21
0

Homework Statement


If a room is at 27C and the surroundings at 42C, and the heat into the room is 2,000 Cal s-1. What is the minimum work the air conditioner must do to keep the room at 27C?

Homework Equations


COP = Tc/(Th-Tc)
Win = Qout/(1+COP)

The Attempt at a Solution


COP = (300.15/(315.15-300.15)
COP = 20.01

Win = 2,000 Cal s-1/(1+20.11)

W=95.15 Cal s-1 or 398.1 J s-1
Look okay?
 
Last edited:
Physics news on Phys.org
  • #2
trevor51590 said:

Homework Statement


If a room is at 27C and the surroundings at 42C, and the heat into the room is 2,000 Cal s-1. What is the minimum work the air conditioner must do to keep the room at 27C?


Homework Equations


COP = Tc/(Th-Tc)
Win = Qout/(1+COP)
You may want to check your expression for W. For a refrigerator output is the heat flow transferred from the cold reservoir, Qc, so COP = output/input = Qc/W. Also, use 0C = 273K.

AM
 

What is the purpose of a work air conditioner?

The purpose of a work air conditioner is to regulate the temperature and humidity of a room or workspace, providing a comfortable and conducive environment for work.

How does a work air conditioner maintain a constant temperature?

A work air conditioner uses a refrigerant to absorb heat from the indoor air, which is then circulated through a series of coils and vents to remove excess humidity and cool the air. The temperature is controlled by a thermostat, which triggers the compressor to turn on or off to maintain the desired temperature.

What factors can affect the efficiency of a work air conditioner?

The efficiency of a work air conditioner can be affected by factors such as the size and layout of the room, insulation, outside temperature and humidity, and the age and maintenance of the unit. Additionally, the placement of the unit and any obstructions to the air flow can also impact its efficiency.

How often should a work air conditioner be serviced?

It is recommended to have a work air conditioner serviced once a year by a professional technician. This includes cleaning the filters, checking the refrigerant levels, and inspecting the overall functioning of the unit. Regular maintenance can help prolong the lifespan of the unit and ensure its optimal performance.

Are there any eco-friendly options for work air conditioners?

Yes, there are eco-friendly options for work air conditioners, such as using units with energy-efficient technology and using natural refrigerants that have a lower impact on the environment. It is important to research and choose a unit that is certified by energy and environmental organizations. Additionally, proper use and maintenance of the unit can also help reduce its environmental impact.

Similar threads

  • Introductory Physics Homework Help
Replies
5
Views
1K
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
2K
Replies
1
Views
941
  • Introductory Physics Homework Help
Replies
4
Views
4K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
5K
Replies
1
Views
946
  • Introductory Physics Homework Help
Replies
24
Views
2K
Back
Top