Question

The water cooling system of a vehicle contains 7.2 litres of water. Calculate the rise in water temperature if 1.36 MJ of heat energy are absorbed by the water in the system. Take water = 4200 J/kgK and water has a mass of 1 kg per litre.

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Answer to a math question The water cooling system of a vehicle contains 7.2 litres of water. Calculate the rise in water temperature if 1.36 MJ of heat energy are absorbed by the water in the system. Take water = 4200 J/kgK and water has a mass of 1 kg per litre.

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Brice

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113 Answers

Solution:
1. Given:
- Total volume of water = 7.2 litres
- Heat energy absorbed = 1.36 MJ =

1.36 \times 10^6

J
- Specific heat capacity of water = 4200 J/kgK
- Density of water = 1 kg/L (so 7.2 litres of water has a mass of 7.2 kg)

2. Use the formula for specific heat:
-

Q = m \cdot c \cdot \Delta T

, where:
*

is the heat energy absorbed (J)
*

is the mass of water (kg)
*

is the specific heat capacity (J/kgK)
*

\Delta T

is the change in temperature (K)

3. Rearrange the formula to solve for

\Delta T

:
-

\Delta T = \frac{Q}{m \cdot c}

4. Substitute the known values into the formula:
-

\Delta T = \frac{1.36 \times 10^6}{7.2 \times 4200}

5. Calculate:
-

\Delta T = \frac{1.36 \times 10^6}{30240}

\Delta T \approx 44.97

K

6. The rise in water temperature is:

\Delta T \approx 44.97

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The water cooling system of a vehicle contains 7.2 litres of water. Calculate the rise in water temperature if 1.36 MJ of heat energy are absorbed by the water in the system. Take water = 4200 J/kgK and water has a mass of 1 kg per litre.

Answer to a math question The water cooling system of a vehicle contains 7.2 litres of water. Calculate the rise in water temperature if 1.36 MJ of heat energy are absorbed by the water in the system. Take water = 4200 J/kgK and water has a mass of 1 kg per litre.

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