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Final Temperature in Adiabatic Process (using volume) Formula

GoFinal Temperature in Adiabatic Process (using pressure) Formula

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Final Temperature in Adiabatic Process is the measure of hotness or coldness of a system at its final state. 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.

339.379 = 350 \cdot {(\frac{11}{13})}^{(\frac{122}{103}) - 1}

339.379K = 350K \cdot {(\frac{11m³}{13m³})}^{(\frac{122J/K*mol}{103J/K*mol}) - 1}

339.379 = 350 \cdot {(\frac{11}{13})}^{(\frac{122}{103}) - 1}

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Home » Engineering » Chemical Engineering » Thermodynamics » Final Temperature in Adiabatic Process (using volume)

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{11m³}{13m³})}^{(\frac{122J/K*mol}{103J/K*mol}) - 1}

Next Step Prepare to Evaluate

∴

T Final = 350 \cdot {(\frac{11}{13})}^{(\frac{122}{103}) - 1}

Next Step Evaluate

∴

T Final = 339.378957736276K

LAST Step Rounding Answer

∴

T Final = 339.379K

Final Temperature in Adiabatic Process (using volume) Formula Elements

Variables

Final Temperature in Adiabatic Process

Final Temperature in Adiabatic Process is the measure of hotness or coldness of a system at its final state.

Symbol: T_Final

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Initial temperature of Gas

Initial Temperature of Gas is the measure of hotness or coldness of gas under the initial set of conditions.

Symbol: T_Initial

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Initial Volume of System

Initial Volume of System is the volume occupied by the molecules of the sytem initially before the process has started.

Symbol: V_i

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Final Volume of System

Final Volume of System is the volume occupied by the molecules of the system when thermodynamic process has taken place.

Symbol: V_f

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Molar Specific Heat Capacity at Constant Pressure

Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.

Symbol: C_{p molar}

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

Note: Value should be greater than 0.

Molar Specific Heat Capacity at Constant Volume

Molar Specific Heat Capacity at Constant Volume, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.

Symbol: C_{v molar}

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

Note: Value should be greater than 0.

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Birla Institute of Technology & Science (BITS), Pilani

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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 \cdot ΔT

Go Enthalpy of System

H s = n \cdot C p \cdot ΔT

Go Specific Heat Capacity at Constant Pressure

C pm = [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- 339.379 = 350*(11/13)^((122/103)-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.