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.

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 is 572645.67 J

Heat: This can be defined as a form of energy that brings about the sensation of warmth. The S.I unit of heat is Joules (J)

The Question above can be solved using the formula below

Q = cm(t₁-t₂) Equation 1

Where Q  = amount of heat, c = specific heat capacity of water, m = mass of water, t₁ = initial temperature, t₂ = final temperature.

From the question,

Given: c = 4.184 J/g°C, m = 1 gallon  = 3785 g, t₁ = 240 °F = 115.56 °C, t₂ = 79.4 °C

Substitute these values into equation 1

Q = 4.184(3785)(115.56-79.4)

Q = 572645.67 J

Hence the amount of heat transferred from the engine to the surrounding is 572645.67 J

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571.09 kJ

Explanation:

Given

Temperature of cooling water from engine exit

After Passing through the radiator its temperature decreases to

specific heat of water

Volume of water

density of water

Thus mass of water

Heat transferred to the surrounding is equal to heat absorbed by cooling water

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