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Irreversibility Formula

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Irreversibility of a process can also be construed as the amount of work to be done to restore the system to the original state. Check FAQs

I 12 = (T \cdot (S 2 - S 1) - \frac{Q in}{T in} + \frac{Q out}{T out})

I₁₂ - Irreversibility?T - Temperature?S₂ - Entropy at point 2?S₁ - Entropy at point 1?Q_in - Heat input?T_in - Input Temperature?Q_out - Heat output?T_out - Output Temperature?

Irreversibility Example

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Here is how the Irreversibility equation looks like with Values.

Here is how the Irreversibility equation looks like with Units.

Here is how the Irreversibility equation looks like.

8171.5476 = (86 \cdot (145 - 50) - \frac{200}{210} + \frac{300}{120})

8171.5476J/kg = (86K \cdot (145J/kg*K - 50J/kg*K) - \frac{200J/kg}{210K} + \frac{300J/kg}{120K})

8171.5476 = (86 \cdot (145 - 50) - \frac{200}{210} + \frac{300}{120})

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Irreversibility Solution

Follow our step by step solution on how to calculate Irreversibility?

FIRST Step Consider the formula

I 12 = (T \cdot (S 2 - S 1) - \frac{Q in}{T in} + \frac{Q out}{T out})

Next Step Substitute values of Variables

∴

I 12 = (86K \cdot (145J/kg*K - 50J/kg*K) - \frac{200J/kg}{210K} + \frac{300J/kg}{120K})

Next Step Prepare to Evaluate

∴

I 12 = (86 \cdot (145 - 50) - \frac{200}{210} + \frac{300}{120})

Next Step Evaluate

∴

I 12 = 8171.54761904762J/kg

LAST Step Rounding Answer

∴

I 12 = 8171.5476J/kg

Irreversibility Formula Elements

Variables

Irreversibility

Irreversibility of a process can also be construed as the amount of work to be done to restore the system to the original state.

Symbol: I₁₂

Measurement: Heat of Combustion (per Mass)Unit: J/kg

Note: Value can be positive or negative.

Formulas to find Irreversibility

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Entropy at point 2

Entropy at point 2 is the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work.

Symbol: S₂

Measurement: Specific EntropyUnit: J/kg*K

Note: Value should be greater than 0.

Formulas to find Entropy at point 2

Entropy at point 1

Entropy at point 1 is the measure of a system’s thermal energy per unit temperature that is unavailable for doing useful work.

Symbol: S₁

Measurement: Specific EntropyUnit: J/kg*K

Note: Value can be positive or negative.

Formulas to find Entropy at point 1

Heat input

Heat input is the energy transferred to a thermodynamic system, by mechanisms other than thermodynamic work or transfer of matter.

Symbol: Q_in

Measurement: Heat of Combustion (per Mass)Unit: J/kg

Note: Value can be positive or negative.

Formulas to find Heat input

Input Temperature

Input Temperature is the degree or intensity of heat present in the system.

Symbol: T_in

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Input Temperature

Heat output

Heat output is the energy transferred from a thermodynamic system, by mechanisms other than thermodynamic work or transfer of matter.

Symbol: Q_out

Measurement: Heat of Combustion (per Mass)Unit: J/kg

Note: Value can be positive or negative.

Formulas to find Heat output

Output Temperature

Output Temperature is the degree or intensity of heat present outside the system.

Symbol: T_out

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Output Temperature

Other formulas in Entropy Generation category

Go Entropy Balance Equation

δs = Gsys - Gsurr + TEG

Go Entropy Change at Constant Pressure

δs pres = C p \cdot \ln (\frac{T 2}{T 1}) - [R] \cdot \ln (\frac{P 2}{P 1})

How to Evaluate Irreversibility?

Irreversibility evaluator uses Irreversibility = (Temperature*(Entropy at point 2-Entropy at point 1)-Heat input/Input Temperature+Heat output/Output Temperature) to evaluate the Irreversibility, Irreversibility of a process can also be construed as the amount of work to be done to restore the system to the original state. Irreversibility is denoted by I₁₂ symbol.

How to evaluate Irreversibility using this online evaluator? To use this online evaluator for Irreversibility, enter Temperature (T), Entropy at point 2 (S₂), Entropy at point 1 (S₁), Heat input (Q_in), Input Temperature (T_in), Heat output (Q_out) & Output Temperature (T_out) and hit the calculate button.

FAQs on Irreversibility

What is the formula to find Irreversibility?

The formula of Irreversibility is expressed as Irreversibility = (Temperature*(Entropy at point 2-Entropy at point 1)-Heat input/Input Temperature+Heat output/Output Temperature). Here is an example- 8171.548 = (86*(145-50)-200/210+300/120).

How to calculate Irreversibility?

With Temperature (T), Entropy at point 2 (S₂), Entropy at point 1 (S₁), Heat input (Q_in), Input Temperature (T_in), Heat output (Q_out) & Output Temperature (T_out) we can find Irreversibility using the formula - Irreversibility = (Temperature*(Entropy at point 2-Entropy at point 1)-Heat input/Input Temperature+Heat output/Output Temperature).

Can the Irreversibility be negative?

Yes, the Irreversibility, measured in Heat of Combustion (per Mass) can be negative.

Which unit is used to measure Irreversibility?

Irreversibility is usually measured using the Joule per Kilogram[J/kg] for Heat of Combustion (per Mass). Kilojoule per Kilogram[J/kg], Calorie (IT) per Gram[J/kg] are the few other units in which Irreversibility can be measured.

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Irreversibility Formula

Irreversibility Example

Irreversibility Solution

Irreversibility Formula Elements

Other formulas in Entropy Generation category

How to Evaluate Irreversibility?

FAQs on Irreversibility

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