Isothermal Compression Calculator

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✖Number of Moles given KE is the total number of particles present in the specific container.ⓘ Number of Moles given KE [N_KE]			+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%
✖Volume Initially is the initial volume of distribution and it is related to the amount in the system before the chemical is distributed or eliminated.ⓘ Volume Initially [Vi]			+10% -10%
✖Volume finally is the final volume of distribution and it is related to the amount in the system after the chemical is distributed or eliminated.ⓘ Volume finally [V_f]			+10% -10%

✖Work Done in Isothermal Compression is defined as a force acting on something else and causes displacement then the work is said to be done by the system.ⓘ Isothermal Compression [W_{iso_com}]

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Formula

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Isothermal Compression

Formula

`"W"_{"iso_com"} = -"N"_{"KE"}*8.314*"T"_{"low"}*ln("Vi"/"V"_{"f"})`

Example

`"7.657477J"=-"0.04"*8.314*"10K"*ln("10m³"/"100m³")`

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Isothermal Compression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Done in Isothermal Compression = -Number of Moles given KE*8.314*Low Temperature*ln(Volume Initially/Volume finally)
W_{iso_com} = -N_KE*8.314*T_low*ln(Vi/V_f)
This formula uses 1 Functions, 5 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Work Done in Isothermal Compression - (Measured in Joule) - Work Done in Isothermal Compression is defined as a force acting on something else and causes displacement then the work is said to be done by the system.
Number of Moles given KE - Number of Moles given KE is the total number of particles present in the specific container.
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.
Volume Initially - (Measured in Cubic Meter) - Volume Initially is the initial volume of distribution and it is related to the amount in the system before the chemical is distributed or eliminated.
Volume finally - (Measured in Cubic Meter) - Volume finally is the final volume of distribution and it is related to the amount in the system after the chemical is distributed or eliminated.

STEP 1: Convert Input(s) to Base Unit

Number of Moles given KE: 0.04 --> No Conversion Required
Low Temperature: 10 Kelvin --> 10 Kelvin No Conversion Required
Volume Initially: 10 Cubic Meter --> 10 Cubic Meter No Conversion Required
Volume finally: 100 Cubic Meter --> 100 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_{iso_com} = -N_KE*8.314*T_low*ln(Vi/V_f) --> -0.04*8.314*10*ln(10/100)

Evaluating ... ...

W_{iso_com} = 7.657476985261

STEP 3: Convert Result to Output's Unit

7.657476985261 Joule --> No Conversion Required

FINAL ANSWER

7.657476985261 ≈ 7.657477 Joule <-- Work Done in Isothermal Compression

(Calculation completed in 00.004 seconds)

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

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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

Isothermal Compression Formula

Work Done in Isothermal Compression = -Number of Moles given KE*8.314*Low Temperature*ln(Volume Initially/Volume finally)
W_{iso_com} = -N_KE*8.314*T_low*ln(Vi/V_f)

What is Carnot Cycle?

A reversible isothermal gas expansion process. In this process, the ideal gas in the system absorbs qin amount heat from a heat source at a high temperature Thigh , expands and does work on surroundings. A reversible adiabatic gas compression process. In this process, the system is thermally insulated. Surroundings continue to do work to the gas, which causes the temperature to rise back to T high .

How to Calculate Isothermal Compression?

Isothermal Compression calculator uses Work Done in Isothermal Compression = -Number of Moles given KE*8.314*Low Temperature*ln(Volume Initially/Volume finally) to calculate the Work Done in Isothermal Compression, The Isothermal Compression formula is defined as is defined as a force acting on something else and causes displacement then the work is said to be done by the system. Work Done in Isothermal Compression is denoted by W_{iso_com} symbol.

How to calculate Isothermal Compression using this online calculator? To use this online calculator for Isothermal Compression, enter Number of Moles given KE (N_KE), Low Temperature (T_low), Volume Initially (Vi) & Volume finally (V_f) and hit the calculate button. Here is how the Isothermal Compression calculation can be explained with given input values -> 7.657477 = -0.04*8.314*10*ln(10/100).

FAQ

What is Isothermal Compression?

The Isothermal Compression formula is defined as is defined as a force acting on something else and causes displacement then the work is said to be done by the system and is represented as W_{iso_com} = -N_KE*8.314*T_low*ln(Vi/V_f) or Work Done in Isothermal Compression = -Number of Moles given KE*8.314*Low Temperature*ln(Volume Initially/Volume finally). Number of Moles given KE is the total number of particles present in the specific container, Low Temperature the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius, Volume Initially is the initial volume of distribution and it is related to the amount in the system before the chemical is distributed or eliminated & Volume finally is the final volume of distribution and it is related to the amount in the system after the chemical is distributed or eliminated.

How to calculate Isothermal Compression?

The Isothermal Compression formula is defined as is defined as a force acting on something else and causes displacement then the work is said to be done by the system is calculated using Work Done in Isothermal Compression = -Number of Moles given KE*8.314*Low Temperature*ln(Volume Initially/Volume finally). To calculate Isothermal Compression, you need Number of Moles given KE (N_KE), Low Temperature (T_low), Volume Initially (Vi) & Volume finally (V_f). With our tool, you need to enter the respective value for Number of Moles given KE, Low Temperature, Volume Initially & Volume finally and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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