Calculating Heat Absorption in an Automobile Cooling System with 18L of Water

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In summary, the conversation discusses an automobile cooling system that holds 18 L of water and its temperature rising from 20oC to 90oC. The summarized calculations show that the system absorbs 5,274,360 J of heat, but the answer in the book is 4.7*10^6 J and it is unclear how they arrived at that answer. The conversation ends with the acknowledgement that there may have been a mistake in the book.
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needhelp83
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An automobile cooling system holds 18 L of water. How much heat does it absorb if its temperature rises from 20oC to 90oC?

V= 18 L=0.018 m3
m=pV=(1.0*103 kg/ m3 )(0.018 m3 )= 18 kg

Q=mcT=(18 kg)(4186 J/kg*Co)( 90o-20o)= 5,274,360 J

The answer in the book says it should be 4.7*10^6, but I don't know how they derived to that answer. Any help
 
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Any help from anybody?
 
  • #3
Are you sure that is all the information given? Your calculations seems right to me.
 
  • #4
Yes that was all that was given...I thought I was correct also, maybe the book made a mistake...it has been known to happen. Thanks for the help!
 

FAQ: Calculating Heat Absorption in an Automobile Cooling System with 18L of Water

What is the purpose of calculating heat absorption in an automobile cooling system with 18L of water?

The purpose of this calculation is to determine the amount of heat that can be absorbed by the water in the cooling system of an automobile. This is important because it helps to prevent the engine from overheating and causing damage.

How is heat absorption calculated for an automobile cooling system?

To calculate heat absorption, you will need to know the specific heat capacity of water, which is 4.186 joules per gram per degree Celsius. Then, you will need to measure the change in temperature of the water in the cooling system and the mass of water (18L). The formula for heat absorption is Q = mcΔT, where Q is the heat absorbed, m is the mass of the water, c is the specific heat capacity, and ΔT is the change in temperature.

What factors can affect the heat absorption in an automobile cooling system?

The main factors that can affect heat absorption in an automobile cooling system include the amount of water in the system, the specific heat capacity of the water, the temperature difference between the water and the environment, and the efficiency of the cooling system.

How can the calculated heat absorption be used to improve the performance of an automobile cooling system?

By knowing the amount of heat that can be absorbed by the water in the cooling system, adjustments can be made to improve the efficiency and effectiveness of the system. This may include adding more water, using a coolant with a higher specific heat capacity, or making modifications to the cooling system itself.

Are there any safety precautions that should be taken when calculating heat absorption in an automobile cooling system?

Yes, it is important to handle hot water and engine components with caution to avoid burns or other injuries. It is also recommended to wear protective gear, such as gloves and goggles, when working with the cooling system. Additionally, make sure the engine is turned off and has cooled down before attempting any calculations or adjustments.

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