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Final Temperature in Adiabatic Process (using volume) Formula

GoFinal Temperature in Adiabatic Process (using pressure) Formula

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The Final Temperature in Adiabatic Process is the temperature of a gas after it has expanded or compressed without heat exchange with its surroundings. Check FAQs

T Final = T Initial \cdot {(\frac{V i}{V f})}^{(\frac{C p molar}{C v molar}) - 1}

T_Final - Final Temperature in Adiabatic Process?T_Initial - Initial Temperature of Gas?V_i - Initial Volume of System?V_f - Final Volume of System?C_{p molar} - Molar Specific Heat Capacity at Constant Pressure?C_{v molar} - Molar Specific Heat Capacity at Constant Volume?

Final Temperature in Adiabatic Process (using volume) Example

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Here is how the Final Temperature in Adiabatic Process (using volume) equation looks like with Values.

Here is how the Final Temperature in Adiabatic Process (using volume) equation looks like with Units.

Here is how the Final Temperature in Adiabatic Process (using volume) equation looks like.

340.0134 = 350 \cdot {(\frac{9}{13.37})}^{(\frac{122.0005}{113.6855}) - 1}

340.0134K = 350K \cdot {(\frac{9m³}{13.37m³})}^{(\frac{122.0005J/K*mol}{113.6855J/K*mol}) - 1}

340.0134 = 350 \cdot {(\frac{9}{13.37})}^{(\frac{122.0005}{113.6855}) - 1}

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Final Temperature in Adiabatic Process (using volume) Solution

Follow our step by step solution on how to calculate Final Temperature in Adiabatic Process (using volume)?

FIRST Step Consider the formula

T Final = T Initial \cdot {(\frac{V i}{V f})}^{(\frac{C p molar}{C v molar}) - 1}

Next Step Substitute values of Variables

∴

T Final = 350K \cdot {(\frac{9m³}{13.37m³})}^{(\frac{122.0005J/K*mol}{113.6855J/K*mol}) - 1}

Next Step Prepare to Evaluate

∴

T Final = 350 \cdot {(\frac{9}{13.37})}^{(\frac{122.0005}{113.6855}) - 1}

Next Step Evaluate

∴

T Final = 340.013394552983K

LAST Step Rounding Answer

∴

T Final = 340.0134K

Final Temperature in Adiabatic Process (using volume) Formula Elements

Variables

Final Temperature in Adiabatic Process

The Final Temperature in Adiabatic Process is the temperature of a gas after it has expanded or compressed without heat exchange with its surroundings.

Symbol: T_Final

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Final Temperature in Adiabatic Process

Initial Temperature of Gas

The Initial Temperature of Gas is the temperature at which a gas begins to exist in a system, influencing its pressure and volume according to thermodynamic principles.

Symbol: T_Initial

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Initial Temperature of Gas

Initial Volume of System

The Initial Volume of System is the volume occupied by a gas before any changes in pressure or temperature occur, crucial for understanding gas behavior in thermodynamic processes.

Symbol: V_i

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Initial Volume of System

Final Volume of System

The Final Volume of System is the total space occupied by an ideal gas in a thermodynamic process, reflecting the system's conditions and behavior.

Symbol: V_f

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Final Volume of System

Molar Specific Heat Capacity at Constant Pressure

The Molar Specific Heat Capacity at Constant Pressure is the amount of heat required to raise the temperature of one mole of a substance at constant pressure.

Symbol: C_{p molar}

Measurement: Molar Specific Heat Capacity at Constant PressureUnit: J/K*mol

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Pressure

Molar Specific Heat Capacity at Constant Volume

The Molar Specific Heat Capacity at Constant Volume is the amount of heat required to raise the temperature of one mole of a substance at constant volume.

Symbol: C_{v molar}

Measurement: Molar Specific Heat Capacity at Constant VolumeUnit: J/K*mol

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Volume

Other Formulas to find Final Temperature in Adiabatic Process

Go Final Temperature in Adiabatic Process (using pressure)

T Final = T Initial \cdot {(\frac{P f}{P i})}^{1 - \frac{1}{\frac{C p molar}{C v molar}}}

Other formulas in Ideal Gas category

Go Heat Transfer in Isochoric Process

Q = n \cdot C v molar \cdot ΔT

Go Change in Internal Energy of System

U = n \cdot C v molar \cdot ΔT

Go Enthalpy of System

H s = n \cdot C p molar \cdot ΔT

Go Specific Heat Capacity at Constant Pressure

C p molar = [R] + C v

How to Evaluate Final Temperature in Adiabatic Process (using volume)?

Final Temperature in Adiabatic Process (using volume) evaluator uses Final Temperature in Adiabatic Process = Initial Temperature of Gas*(Initial Volume of System/Final Volume of System)^((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1) to evaluate the Final Temperature in Adiabatic Process, Final Temperature in Adiabatic Process (using volume) can compute the final temperature of the system after an adiabatic process. Final Temperature in Adiabatic Process is denoted by T_Final symbol.

How to evaluate Final Temperature in Adiabatic Process (using volume) using this online evaluator? To use this online evaluator for Final Temperature in Adiabatic Process (using volume), enter Initial Temperature of Gas (T_Initial), Initial Volume of System (V_i), Final Volume of System (V_f), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Molar Specific Heat Capacity at Constant Volume (C_{v molar}) and hit the calculate button.

FAQs on Final Temperature in Adiabatic Process (using volume)

What is the formula to find Final Temperature in Adiabatic Process (using volume)?

The formula of Final Temperature in Adiabatic Process (using volume) is expressed as Final Temperature in Adiabatic Process = Initial Temperature of Gas*(Initial Volume of System/Final Volume of System)^((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1). Here is an example- 340.014 = 350*(9/13.37)^((122.0005/113.6855)-1).

How to calculate Final Temperature in Adiabatic Process (using volume)?

With Initial Temperature of Gas (T_Initial), Initial Volume of System (V_i), Final Volume of System (V_f), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Molar Specific Heat Capacity at Constant Volume (C_{v molar}) we can find Final Temperature in Adiabatic Process (using volume) using the formula - Final Temperature in Adiabatic Process = Initial Temperature of Gas*(Initial Volume of System/Final Volume of System)^((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1).

What are the other ways to Calculate Final Temperature in Adiabatic Process?

Here are the different ways to Calculate Final Temperature in Adiabatic Process-

Final Temperature in Adiabatic Process=Initial Temperature of Gas*(Final Pressure of System/Initial Pressure of System)^(1-1/(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))

Can the Final Temperature in Adiabatic Process (using volume) be negative?

Yes, the Final Temperature in Adiabatic Process (using volume), measured in Temperature can be negative.

Which unit is used to measure Final Temperature in Adiabatic Process (using volume)?

Final Temperature in Adiabatic Process (using volume) is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Final Temperature in Adiabatic Process (using volume) can be measured.

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Final Temperature in Adiabatic Process (using volume) Formula

​GoFinal Temperature in Adiabatic Process (using pressure) Formula

Final Temperature in Adiabatic Process (using volume) Example

Final Temperature in Adiabatic Process (using volume) Solution

Final Temperature in Adiabatic Process (using volume) Formula Elements

Other Formulas to find Final Temperature in Adiabatic Process

Other formulas in Ideal Gas category

How to Evaluate Final Temperature in Adiabatic Process (using volume)?

FAQs on Final Temperature in Adiabatic Process (using volume)

Variable Name

GoFinal Temperature in Adiabatic Process (using pressure) Formula