Determine the thermal effieincy of a heat transfer process

In summary, the thermal efficiency of the heat transfer process is 98.1%. This was determined by using the formula for thermal efficiency and the given data, including 1.7 L of water being heated from 313 K to 375 K in 2.5 minutes, with a specific heat capacity of 4.19kj/kgK. The calculation resulted in a work done of 2.914473kW, which when converted to Watts and divided by the input of 3kW, gives a thermal efficiency of 98.1%.
  • #1
daftpunk
3
0

Homework Statement


determine the thermal effieincy of a heat transfer process where the following data has been used
Input=3kW
1.7 litres of water have been heated from 313K to 375K in 2.5 minutes
specific heat capacity of water= 4.19kj/kgK

Homework Equations


Thermal efficiency= network done (W)
total heat supplied (Q)




The Attempt at a Solution


am struggling where to start only done simple tasks
 
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  • #2
Well you have 1.7 L of water being heated from 313 K to 375 K. So how much heat does this require? (look at the units of specific heat capacity). This will be your work done W.

In order to convert this to Watts, you will need to use the formula Power = work done/time.
 
  • #3
output=1.7*4.19*(375-313)/(2.5*60)=2.914473Kw. 2.9174473/3= 0.981 or 98.1%. Thanks a lot for help could you confirm this
 
  • #4
That should be correct.
 
  • #5
thanks
 

Related to Determine the thermal effieincy of a heat transfer process

1. What is thermal efficiency?

Thermal efficiency is a measure of how much of the input energy is converted into useful output energy during a heat transfer process. It is expressed as a percentage and can range from 0% (no energy transferred) to 100% (all energy transferred).

2. How is thermal efficiency calculated?

Thermal efficiency is calculated by dividing the useful output energy by the total input energy and multiplying by 100%. The useful output energy can be calculated by subtracting the energy lost to the surroundings from the total input energy.

3. What factors affect thermal efficiency?

The type and quality of the materials used, the design of the system, and the temperature difference between the hot and cold sides are all factors that can affect the thermal efficiency of a heat transfer process.

4. How can thermal efficiency be improved?

Thermal efficiency can be improved by using materials with better thermal conductivity, minimizing heat loss through insulation, and optimizing the design of the system to reduce temperature differences. Regular maintenance and cleaning of the system can also help improve thermal efficiency.

5. Why is thermal efficiency important?

Thermal efficiency is important because it determines the amount of useful energy that is produced from a given amount of input energy. A higher thermal efficiency means less energy is wasted, resulting in cost savings and a more sustainable use of resources.

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