# Equivalence of kelvin planck and clausius statement pdf

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## Chapter 5: The Second Law of Thermodynamics

In this chapter we consider a more abstract approach to heat engine, refrigerator and heat pump cycles, in an attempt to determine if they are feasible, and to obtain the limiting maximum performance available for these cycles. The concept of mechanical and thermal reversibility is central to the analysis, leading to the ideal Carnot cycles. Refer to Wikipedia: Sadi Carnot a French physicist, mathematician and engineer who gave the first successful account of heat engines, the Carnot cycle, and laid the foundations of the second law of thermodynamics.

The corresponding lifted processes have detailed balance thus a natural potential function but no stationary probability. We show that in the long-time limit the entropy production of the finite driven system precisely equals the potential energy decrease in the lifted system. This is a preview of subscription content, access via your institution. Altaner, B.

### schaums_thermodynamics pdf

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy. See our Privacy Policy and User Agreement for details. Published on Jun 12, The first law of thermodynamics is based on the law of conservation of energy.

## Chapter 5: The Second Law of Thermodynamics

Ice Melt in Hot Water. In nature, processes occur in a certain direction, and not in the reverse direction. For example, if a block of ice is put into a cup of hot water, the ice will melt and the temperature of the water will decrease as a result of heat transferred from the higher temperature water to the lower temperature ice. This process is satisfied the first law of thermodynamics, which requires the energy lost by the water equals the energy gained by the ice. Consider the reverse process. A block of ice is put into a cup of hot water. Heat is transferred from the ice to the water.

A description of the mathematical statement of the second law is given in the box below. The box includes three distinct parts. Each of the three parts is an essential component of the second law, but is somewhat abstract. What fundamental principle, based on experimental observation, may we take as the starting point to obtain them? Two principles are available, one associated with Clausius and the other with Kelvin and Planck.

A PMM2 according to Kelvin-Planck statement is a device that: ✓Operates in a cycle. ✓Accepts heat from a single reservoir (surroundings). ✓Develops a net work.

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The second law of thermodynamics establishes the concept of entropy as a physical property of a thermodynamic system. Entropy predicts the direction of spontaneous processes, and determines whether they are irreversible or impossible, despite obeying the requirement of conservation of energy , which is established in the first law of thermodynamics. The second law may be formulated by the observation that the entropy of isolated systems left to spontaneous evolution cannot decrease, as they always arrive at a state of thermodynamic equilibrium , where the entropy is highest. If all processes in the system are reversible , the entropy is constant.

Сьюзан встала. Чрезвычайная ситуация. Она не помнила, чтобы это слово срывалось когда-нибудь с губ коммандера Стратмора.

### Chapter 5: The Second Law of Thermodynamics

Беккер когда-то сам заблудился в его узких проходах. Набирая скорость на последнем отрезке Матеус-Гаго, он увидел впереди горой вздымающийся готический собор XI века. Рядом с собором на сто двадцать метров вверх, прямо в занимающуюся зарю, поднималась башня Гиральда. Это и был Санта-Крус, квартал, в котором находится второй по величине собор в мире, а также живут самые старинные и благочестивые католические семьи Севильи. Беккер пересек мощенную камнем площадь.

В голосе Беккера слышались извиняющиеся нотки: - Простите, но это определенно осмысленные слова. Они выгравированы очень близко одно к другому и на первый взгляд кажутся произвольным набором букв, но если присмотреться повнимательнее, то… становится ясно, что надпись сделана по-латыни. - Вы что, морочите нам голову? - взорвался Джабба. Беккер покачал головой: - Отнюдь. Тут написано - Quis custodiet ipsos custodes.

Сьюзан еще раз прочитала адрес на клочке бумаги и ввела информацию в соответствующее поле, посмеялась про себя, вспомнив о трудностях, с которыми столкнулся Стратмор, пытаясь самолично запустить Следопыта. Скорее всего он проделал это дважды и каждый раз получал адрес Танкадо, а не Северной Дакоты. Элементарная ошибка, подумала Сьюзан, Стратмор, по-видимому, поменял местами поля информации, и Следопыт искал учетные данные совсем не того пользователя.

• #### Roland B. 12.06.2021 at 05:46

One additional note concerning heat engines is appropriate.

#### Erik F.

The Clausius and Kelvin-Planck statements of the second law are entirely equivalent. This equivalence can be demonstrated by showing that.

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