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Chapter 15: Problem 21

An engine releases \(0.450 \mathrm{kJ}\) of heat for every \(0.100 \mathrm{kJ}\) of work it does. What is the efficiency of the engine?

Short Answer

Expert verified
Answer: The efficiency of the engine is 18.18%.

Step by step solution

01

Calculate the Total Energy Input

Given that the engine releases 0.450 kJ of heat for every 0.100 kJ of work it does, we can determine the total energy input by summing the energy of work and heat. Total Energy Input = Work Output + Heat Released = 0.100 kJ + 0.450 kJ = 0.550 kJ.
02

Calculate Efficiency

Now, we can calculate the efficiency of the engine using the formula: Efficiency = (Work Output / Total Energy Input) * 100. Efficiency = (0.100 kJ / 0.550 kJ) * 100 = 18.18%. Thus, the efficiency of the engine is 18.18%.

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Most popular questions from this chapter

Suppose you mix 4.0 mol of a monatomic gas at \(20.0^{\circ} \mathrm{C}\) and 3.0 mol of another monatomic gas at \(30.0^{\circ} \mathrm{C} .\) If the mixture is allowed to reach equilibrium, what is the final temperature of the mixture? [Hint: Use energy conservation.]
A reversible engine with an efficiency of \(30.0 \%\) has $T_{\mathrm{C}}=310.0 \mathrm{K} .\( (a) What is \)T_{\mathrm{H}} ?$ (b) How much heat is exhausted for every \(0.100 \mathrm{kJ}\) of work done?
(a) What is the entropy change of 1.00 mol of \(\mathrm{H}_{2} \mathrm{O}\) when it changes from ice to water at \(0.0^{\circ} \mathrm{C} ?\) (b) If the ice is in contact with an environment at a temperature of \(10.0^{\circ} \mathrm{C}\) what is the entropy change of the universe when the ice melts?
An electric power station generates steam at \(500.0^{\circ} \mathrm{C}\) and condenses it with river water at \(27^{\circ} \mathrm{C} .\) By how much would its theoretical maximum efficiency decrease if it had to switch to cooling towers that condense the steam at \(47^{\circ} \mathrm{C} ?\)
Calculate the maximum possible efficiency of a heat engine that uses surface lake water at \(18.0^{\circ} \mathrm{C}\) as a source of heat and rejects waste heat to the water \(0.100 \mathrm{km}\) below the surface where the temperature is \(4.0^{\circ} \mathrm{C}\).
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