Chapter 15: Q24PE (page 551)

The engine of a large ship does 2.00×10⁸J of work with an efficiency of 5.00% (a) How much heat transfer occurs to the environment (b) How many barrels of fuels are consumed if each barrel produces 6.00×10⁹J of heat transfer when burned?

Short Answer

Expert verified

Amount of heat transferred to the environment is 3.8×10⁹J and .667 barrels of fuels are consumed.

Step by step solution

Step: 1 Introduction-

Heat engine is a device by which a system is made to undergo a cyclic process. It results conversion of heat into work. First and second law helps in the operation of Heat Engine.

Step: 2 Given Parameters and formula to be used-

Amount of work done by the engine $W = 2.00 \times 10^{8} J$

Efficiency $η = 5.00 %$

Step: 3 Calculations

(a)

Relation to be used

$h = \frac{W}{Q_{1}} W = Q_{1} - Q_{2}$

Here

$h - Efficinency of the heat Engine W - Work done by the Heat Engine Q_{1} - Amount of Heat Extracted from Heat Engine Q_{2} - Amount of Heat transfered to Environment$

$h = \frac{W}{Q_{1}} Q_{1} = \frac{W}{h} Q_{1} = \frac{2.00 \times 10^{8}}{. 05} Q_{1} = 4 \times 10^{9} J$

Further,

$W = Q_{1} - Q_{2} Q_{2} = Q_{1} - W Q_{2} = 4 \times 10^{9} J - 2.00 \times 10^{8} J Q_{2} = 3.8 \times 10^{9} J$

(b) Barrels of fuel consumed -

$n = \frac{4 \times 10^{9} J}{6 \times 10^{9} J} = 0.667$

So, amount of heat transferred to the environment is $3.8 \times 10^{9} J$ and barrels of fuel consumed are $0.667$ .

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The engine of a large ship does 2.00×10⁸J of work with an efficiency of 5.00% (a) How much heat transfer occurs to the environment (b) How many barrels of fuels are consumed if each barrel produces 6.00×10⁹J of heat transfer when burned?

Short Answer

Step by step solution

Step: 1 Introduction-

Step: 2 Given Parameters and formula to be used-

Step: 3 Calculations

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The engine of a large ship does 2.00×108J of work with an efficiency of 5.00% (a) How much heat transfer occurs to the environment (b) How many barrels of fuels are consumed if each barrel produces 6.00×109J of heat transfer when burned?

Short Answer

Step by step solution

Step: 1 Introduction-

Step: 2 Given Parameters and formula to be used-

Step: 3 Calculations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Thermodynamics

Work Energy and Power

Radiation

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Scientific Method Physics

Study anywhere. Anytime. Across all devices.

The engine of a large ship does 2.00×10⁸J of work with an efficiency of 5.00% (a) How much heat transfer occurs to the environment (b) How many barrels of fuels are consumed if each barrel produces 6.00×10⁹J of heat transfer when burned?