Question

A engine inputs 750 kJ of heat and does 500 kJ of work. The engine's temperature changes from 65°C to 67.5°C. If the engine is made of steel, which has the specc heat capacity of 420 J/kg°C, what is its mass?

Answer 1

Mass of Engine = 238.09 Kg

Given:

A engine inputs 750 kJ of heat and does 500 kJ of work.

The engine's temperature changes from 65°C to 67.5°C.

Engine is made of steel.

Specific heat capacity of 420 J/kg°C

To find:

Mass of steel.

Formula used:

Heat supplied= mass × Specific heat capacity × $\Delta T$

Explanation:

• A engine inputs 750 kJ of heat and does 500 kJ of work.
• So remaining heat is going outside from the engine
• So that Heat rejected = 750 - 500 = 250 KJ = 250000 J
• Change in temperature = 67.5 - 65 = 2.5°C
• This heat will heat the engine
• Therefore,
• Heat supplied= mass × Specific heat capacity × $\Delta T$

                250000 = mass × 420 × 2.5

        Mass of Engine = 238.09 Kg

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