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Adiabatic Expansion Calculator

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First Order Thermodynamics Heat Capacity Second Laws of Thermodynamics Thermochemistry

✖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%
✖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%
✖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 Expansion [W_sys]

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Adiabatic Expansion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_sys = 8.314*(T_high-T_low)/(γ-1) --> 8.314*(100-10)/(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 00.020 seconds)

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< First Order Thermodynamics Calculators

Heat Energy given Internal Energy

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

Internal Energy of System

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

Work Done given Internal Energy

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

Work Done in Irreversible Process

LaTeX Go Irreversible Work Done = -External Pressure*Volume change

Adiabatic Expansion Formula

LaTeX Go

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

Adiabatic Expansion calculator uses Work Done by the System = 8.314*(High Temperature-Low Temperature)/(Adiabatic Coefficient-1) to calculate the Work Done by the System, The Adiabatic Expansion formula is defined as the expansion 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 Expansion using this online calculator? To use this online calculator for Adiabatic Expansion, enter High Temperature (T_high), Low Temperature (T_low) & Adiabatic Coefficient (γ) and hit the calculate button. Here is how the Adiabatic Expansion calculation can be explained with given input values -> 374.13 = 8.314*(100-10)/(3-1).

FAQ

What is Adiabatic Expansion?

The Adiabatic Expansion formula is defined as the expansion 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_high-T_low)/(γ-1) or Work Done by the System = 8.314*(High Temperature-Low Temperature)/(Adiabatic Coefficient-1). High Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius, Low 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 Expansion?

The Adiabatic Expansion formula is defined as the expansion 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*(High Temperature-Low Temperature)/(Adiabatic Coefficient-1). To calculate Adiabatic Expansion, you need High Temperature (T_high), Low Temperature (T_low) & Adiabatic Coefficient (γ). With our tool, you need to enter the respective value for High Temperature, Low 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 High Temperature, Low 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*(Low Temperature-High Temperature)/(Adiabatic Coefficient-1)

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