Q24PE The engine of a large ship does ... [FREE SOLUTION]

Chapter 15: Q24PE (page 551)

The engine of a large ship does 2.00脳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脳10⁹J of heat transfer when burned?

Short Answer

Expert verified

Amount of heat transferred to the environment is 3.8脳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 $W = 2.00 脳 10^{8} J$

Efficiency $畏 = 5.00 %$

Step: 3 Calculations

(a)

Relation to be used

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

Here

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

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

Further,

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

(b) Barrels of fuel consumed -

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

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

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91影视

The engine of a large ship does 2.00脳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脳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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91影视

The engine of a large ship does 2.00脳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脳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

Astrophysics

Mechanics and Materials

Magnetism

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Nuclear Physics

Study anywhere. Anytime. Across all devices.

The engine of a large ship does 2.00脳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脳10⁹J of heat transfer when burned?