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Final Temperature in Adiabatic Process (using pressure) Formula

GoFinal Temperature in Adiabatic Process (using volume) 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{P f}{P i})}^{1 - \frac{1}{\frac{C p molar}{C v molar}}}

T_Final - Final Temperature in Adiabatic Process?T_Initial - Initial temperature of Gas?P_f - Final Pressure of System?P_i - Initial Pressure 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 pressure) Example

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

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

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

287.62 = 350 \cdot {(\frac{18.43}{65})}^{1 - \frac{1}{\frac{122}{103}}}

287.62K = 350K \cdot {(\frac{18.43Pa}{65Pa})}^{1 - \frac{1}{\frac{122J/K*mol}{103J/K*mol}}}

287.62 = 350 \cdot {(\frac{18.43}{65})}^{1 - \frac{1}{\frac{122}{103}}}

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Final Temperature in Adiabatic Process (using pressure) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T Final = 350K \cdot {(\frac{18.43Pa}{65Pa})}^{1 - \frac{1}{\frac{122J/K*mol}{103J/K*mol}}}

Next Step Prepare to Evaluate

∴

T Final = 350 \cdot {(\frac{18.43}{65})}^{1 - \frac{1}{\frac{122}{103}}}

Next Step Evaluate

∴

T Final = 287.620005462454K

LAST Step Rounding Answer

∴

T Final = 287.62K

Final Temperature in Adiabatic Process (using pressure) 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.

Final Pressure of System

Final Pressure of System is the total final pressure exerted by the molecules inside the system.

Symbol: P_f

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Initial Pressure of System

Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.

Symbol: P_i

Measurement: PressureUnit: Pa

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

Ishan Gupta has created this Formula and 50+ more formulas!

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Other Formulas to find Final Temperature in Adiabatic Process

Go Final Temperature in Adiabatic Process (using volume)

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

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 pressure)?

Final Temperature in Adiabatic Process (using pressure) evaluator uses 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)) to evaluate the Final Temperature in Adiabatic Process, Final Temperature in Adiabatic Process (using pressure) 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 pressure) using this online evaluator? To use this online evaluator for Final Temperature in Adiabatic Process (using pressure), enter Initial temperature of Gas (T_Initial), Final Pressure of System (P_f), Initial Pressure of System (P_i), 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 pressure)

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

The formula of Final Temperature in Adiabatic Process (using pressure) is expressed as 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)). Here is an example- 287.62 = 350*(18.43/65)^(1-1/(122/103)).

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

With Initial temperature of Gas (T_Initial), Final Pressure of System (P_f), Initial Pressure of System (P_i), 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 pressure) using the formula - 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)).

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*(Initial Volume of System/Final Volume of System)^((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

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

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

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

Final Temperature in Adiabatic Process (using pressure) 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 pressure) can be measured.