What does Clausius inequality mean? (A.9) The Clausius inequality for a closed system states that
the process is irreversible if TdS > dQ, and the process is reversible if TdS = dQ
. There is another way to look at this, if we divide the internal entropy from the external entropy.
How do you use Clausius inequality?
Is Clausius theorem and Clausius inequality same?
What is Clausius inequality statement state the principle of increase of entropy?
Why is the Clausius inequality less than zero?
This is because
the initial state at the beginning of the cycle is the same as the final state at the end of a cycle
, and, since entropy is the function of state, its change is zero.
(1) Clausius had explicitly proclaimed in his mechanical theory of heat, published in the nineteenth century, that
the second law of thermodynamics is “The theorem of the equivalence of transformations
”, rather than “Heat can never pass from a colder to a warmer body without some other change”.
What is Clausius theorem what is its important conclusion?
The Clausius statement of law states the following:
It is nearly impossible for any system to operate in a way such that the sole result would be a transfer of energy by heat from a cooler to a hotter body
.
Does the temperature in the Clausius inequality relation have to be absolute temperature Why?
Does the temperature in the Clausius inequality relation have to be absolute temperature? Why? Ans: Yes.
Because we used the relation (QH/TH) = (QL/TL) in the proof, which is the defining relation of absolute temperature.
Which equation represent the Clausius theorem?
Clausius inequality states that. It provides the criteria for the reversibility of a cycle. If
∮ d Q T = 0
, the cycle is reversible, If, ∮ d Q T < 0 , the cycle is irreversible and possible.
How can Clausius statement be violated?
Consider a refrigerator pumping Q
L
heat from the low temperature reservoir at T
L
to the reservoir at higher temperature T
H
. Combined with the Kelvin-Planck violator, the arrangement is
pumping Q
L
heat from T
L
to T
H
, without any external agency
. Hence it violate the Clausius statement.
What is Clausius statement in physics?
Clausius Statement from the second law of thermodynamics states that: “
It is impossible to design a device which works on a cycle and produce no other effect other than heat transfer from a cold body to a hot body
.” That is, heat transfer can only occur spontaneously in the direction of temperature decrease.
What is Clausius inequality relevance to thermodynamics?
The Clausius Inequality applies to any real engine cycle and
implies a negative change in entropy on the cycle
. That is, the entropy given to the environment during the cycle is larger than the entropy transferred to the engine by heat from the hot reservoir.
What three different mechanisms can cause the entropy of a control volume to change?
They are
heat transfer, irreversibilities, and entropy transport with mass
.
What does the Clausius Clapeyron equation represent?
The Clapeyron equation (also called the Clausius-Clapeyron equation)
relates the slope of a reaction line on a phase diagram to fundamental thermodynamic properties
.
Which of the following device is are based on Clausius statement?
Clausius statement is related to
refrigerator and heat pump
whereas gas turbines works on Brayton Cycle.
What is the relation between COP of heat pump and refrigerator?
What is the Clausius statement of the second law?
What happened to entropy when a closed system undergoes an irreversible process?
Can entropy remain constant?
The entropy of an isolated system during a process always increases, or in the limiting case of a reversible process remains constant
(it never decreases). This is known as the increase of entropy principle. The entropy change of a system or its surroundings can be negative; but entropy generation cannot.
Why Does entropy increase in irreversible process?
What do you mean by thermodynamic scale of temperature explain?
A temperature scale in which the temperature, T , is a function of the energy possessed by matter
. Thermodynamic temperature is therefore a physical quantity that can be expressed in units, termed kelvin. The zero of the scale is absolute zero.
What is Carnot Theorem?
What is meant by irreversible process?
An irreversible process can be defined as
a process in which the system and the surroundings do not return to their original condition once the process is initiated
.
What is the second law efficiency?
A measure of thermodynamic effectiveness (or second law efficiency) of energy use for a process can be defined as
the ratio of the increase in available work attained by the products in the process to the maximum available useful work of the fuel consumed
.
