# 1. The temperature of the cooling water as it leaves the hot engine of an automobile is 240 °F. After it passesthrough the radiator it has a temperature of 175 °F. Calculate the amount of heat transferred from the engine to thesurroundings by one gallon of water with a specific heat of 4.184 J/g °C

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1. The temperature of the cooling water as it leaves the hot engine of an automobile is 240 °F. After it passes
through the radiator it has a temperature of 175 °F. Calculate the amount of heat transferred from the engine to the
surroundings by one gallon of water with a specific heat of 4.184 J/g °C

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Step 1

The amount which is transferred by a given system can be calculated using the following mathematical relation:

Here, q is the heat loss or gain by the system, m is the mass of the substance, delta T is the change (fall or rise) in temperature and c refers to the specific heat which is given to be 4.184 J/g oC for water.

Step 2

The initial and final temperatures in the above problem are given in oF . Hence, firstly they are to be converted into oC as shown below:

Step 3

The volume of water is given to be one gallon.

One gallon is equal to 3.785 L and also 1 L=1000mL.

It is assum...

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