Adiabatic Compression Calculator

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✖Low Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius.ⓘ Low Temperature [T_low]			+10% -10%
✖High Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius.ⓘ High Temperature [T_high]			+10% -10%
✖Adiabatic Coefficient the ratio of heat capacity at constant pressure to heat capacity at constant volume.ⓘ Adiabatic Coefficient [γ]			+10% -10%

✖Work Done by the System is defined as a force acting on something else and causes displacement then the work is said to be done by the system.ⓘ Adiabatic Compression [W_sys]

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Formula

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Adiabatic Compression

Formula

`"W"_{"sys"} = 8.314*("T"_{"low"}-"T"_{"high"})/("γ"-1)`

Example

`"-374.13J"=8.314*("10K"-"100K")/("3"-1)`

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Adiabatic Compression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Done by the System = 8.314*(Low Temperature-High Temperature)/(Adiabatic Coefficient-1)
W_sys = 8.314*(T_low-T_high)/(γ-1)
This formula uses 4 Variables

Variables Used

Work Done by the System - (Measured in Joule) - Work Done by the System is defined as a force acting on something else and causes displacement then the work is said to be done by the system.
Low Temperature - (Measured in Kelvin) - Low Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius.
High Temperature - (Measured in Kelvin) - High Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius.
Adiabatic Coefficient - Adiabatic Coefficient the ratio of heat capacity at constant pressure to heat capacity at constant volume.

STEP 1: Convert Input(s) to Base Unit

Low Temperature: 10 Kelvin --> 10 Kelvin No Conversion Required
High Temperature: 100 Kelvin --> 100 Kelvin No Conversion Required
Adiabatic Coefficient: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_sys = 8.314*(T_low-T_high)/(γ-1) --> 8.314*(10-100)/(3-1)

Evaluating ... ...

W_sys = -374.13

STEP 3: Convert Result to Output's Unit

-374.13 Joule --> No Conversion Required

FINAL ANSWER

-374.13 Joule <-- Work Done by the System

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Chemical Thermodynamics » First Order Thermodynamics » Adiabatic Compression

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Created by Torsha_Paul

University of Calcutta (CU), Kolkata

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National University of Judicial Science (NUJS), Kolkata

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< 25 First Order Thermodynamics Calculators

Isothermal Compression

Go Work Done in Isothermal Compression = -Number of Moles given KE*8.314*Low Temperature*ln(Volume Initially/Volume finally)

Isothermal Expansion

Go Work Done in Isothermal Expansion = -Number of Moles given KE*8.314*High Temperature*ln(Volume finally/Volume Initially)

Work Done by System in Isothermal Process

Go Work Done by the System = -Number of Moles given KE*8.314*Temperature given RP*ln(Volume finally/Volume Initially)

Adiabatic Compression

Go Work Done by the System = 8.314*(Low Temperature-High Temperature)/(Adiabatic Coefficient-1)

Adiabatic Expansion

Go Work Done by the System = 8.314*(High Temperature-Low Temperature)/(Adiabatic Coefficient-1)

Coefficient of Performance of Refrigerator given Energy

Go Coefficient of Performance of Refrigerator = Sink Energy/(System Energy-Sink Energy)

Coefficient of Performance for Refrigeration

Go Coefficient of Performance = Low Temperature/(High Temperature-Low Temperature)

Change in Internal Energy given Cv

Go Change in Internal Energy of the System = Heat Capacity at Constant Volume*Change in Temperature

Change in Enthalpy given Cp

Go Change in Enthalpy in the System = Heat Capacity at Constant Pressure*Change in Temperature

Specific Heat Capacity in Thermodynamics

Go Specific Heat Capacity in Thermodynamics = Change in Heat Energy/Mass of the Substance

Internal Energy using Equipartition Energy

Go Internal Energy using Equipartition Energy = 1/2*[BoltZ]*Temperature of Gas

Heat Energy given Internal Energy

Go Change in Heat Energy = Internal Energy of the System+(Work Done given IE)

Internal Energy of System

Go Internal Energy of the System = Change in Heat Energy-(Work Done given IE)

Heat Capacity in Thermodynamics

Go Heat Capacity of the System = Change in Heat Energy/Change in Temperature

Heat Energy given Heat Capacity

Go Change in Heat Energy = Heat Capacity of the System*Change in Temperature

Work Done given Internal Energy

Go Work Done given IE = Change in Heat Energy-Internal Energy of the System

Internal Energy of Triatomic Non Linear System

Go Internal Energy of Polyatomic Gases = 6/2*[BoltZ]*Temperature given U

Internal Energy of Triatomic Linear System

Go Internal Energy of Polyatomic Gases = 7/2*[BoltZ]*Temperature given U

Internal Energy of Monoatomic System

Go Internal Energy of Polyatomic Gases = 3/2*[BoltZ]*Temperature given U

Internal Energy of Diatomic System

Go Internal Energy of Polyatomic Gases = 5/2*[BoltZ]*Temperature given U

Efficiency of Carnot Engine

Go Efficiency of Carnot Engine = 1-(Low Temperature/High Temperature)

Work Done by System in Adiabatic Process

Go Work Done by the System = External Pressure*Small Volume Change

Efficiency of Carnot Engine given Energy

Go Efficiency of Carnot Engine = 1-(Sink Energy/System Energy)

Work Done in Irreversible Process

Go Irreversible Work Done = -External Pressure*Volume change

Efficiency of Heat Engine

Go Efficiency of Heat Engine = (Heat Input/Heat Output)*100

Adiabatic Compression Formula

Work Done by the System = 8.314*(Low Temperature-High Temperature)/(Adiabatic Coefficient-1)
W_sys = 8.314*(T_low-T_high)/(γ-1)

What happens in the isothermal expansion process?

In the isothermal expansion process, gas is taken from P1, V1, T1 to P2, V2, T2. Heat Q1 is absorbed from the reservoir at temperature T1. The total change in internal energy is zero and the heat absorbed by the gas is equal to the work done.

How to Calculate Adiabatic Compression?

Adiabatic Compression calculator uses Work Done by the System = 8.314*(Low Temperature-High Temperature)/(Adiabatic Coefficient-1) to calculate the Work Done by the System, The Adiabatic Compression formula is defined as the compression in which no heat is added or subtracted from the air, and the internal energy of the air is increased, which is equal to the external work done on the air. Work Done by the System is denoted by W_sys symbol.

How to calculate Adiabatic Compression using this online calculator? To use this online calculator for Adiabatic Compression, enter Low Temperature (T_low), High Temperature (T_high) & Adiabatic Coefficient (γ) and hit the calculate button. Here is how the Adiabatic Compression calculation can be explained with given input values -> -374.13 = 8.314*(10-100)/(3-1).

FAQ

What is Adiabatic Compression?

The Adiabatic Compression formula is defined as the compression in which no heat is added or subtracted from the air, and the internal energy of the air is increased, which is equal to the external work done on the air and is represented as W_sys = 8.314*(T_low-T_high)/(γ-1) or Work Done by the System = 8.314*(Low Temperature-High Temperature)/(Adiabatic Coefficient-1). Low Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius, High Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius & Adiabatic Coefficient the ratio of heat capacity at constant pressure to heat capacity at constant volume.

How to calculate Adiabatic Compression?

The Adiabatic Compression formula is defined as the compression in which no heat is added or subtracted from the air, and the internal energy of the air is increased, which is equal to the external work done on the air is calculated using Work Done by the System = 8.314*(Low Temperature-High Temperature)/(Adiabatic Coefficient-1). To calculate Adiabatic Compression, you need Low Temperature (T_low), High Temperature (T_high) & Adiabatic Coefficient (γ). With our tool, you need to enter the respective value for Low Temperature, High Temperature & Adiabatic Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Work Done by the System?

In this formula, Work Done by the System uses Low Temperature, High Temperature & Adiabatic Coefficient. We can use 3 other way(s) to calculate the same, which is/are as follows -

Work Done by the System = -Number of Moles given KE*8.314*Temperature given RP*ln(Volume finally/Volume Initially)
Work Done by the System = External Pressure*Small Volume Change
Work Done by the System = 8.314*(High Temperature-Low Temperature)/(Adiabatic Coefficient-1)

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