Work Done by System in Isothermal Process 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%
✖Temperature given RP is the degree or intensity of heat present in a substance or object.ⓘ Temperature given RP [T_RP]			+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%
✖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%

✖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.ⓘ Work Done by System in Isothermal Process [W_sys]

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Formula

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Work Done by System in Isothermal Process

Formula

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

Example

`"-11.486215J"=-"0.04"*8.314*"15K"*ln("100m³"/"10m³")`

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Work Done by System in Isothermal Process Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Done by the System = -Number of Moles given KE*8.314*Temperature given RP*ln(Volume finally/Volume Initially)
W_sys = -N_KE*8.314*T_RP*ln(V_f/Vi)
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 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.
Number of Moles given KE - Number of Moles given KE is the total number of particles present in the specific container.
Temperature given RP - (Measured in Kelvin) - Temperature given RP is the degree or intensity of heat present in a substance or object.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Number of Moles given KE: 0.04 --> No Conversion Required
Temperature given RP: 15 Kelvin --> 15 Kelvin No Conversion Required
Volume finally: 100 Cubic Meter --> 100 Cubic Meter No Conversion Required
Volume Initially: 10 Cubic Meter --> 10 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_sys = -N_KE*8.314*T_RP*ln(V_f/Vi) --> -0.04*8.314*15*ln(100/10)

Evaluating ... ...

W_sys = -11.4862154778915

STEP 3: Convert Result to Output's Unit

-11.4862154778915 Joule --> No Conversion Required

FINAL ANSWER

-11.4862154778915 ≈ -11.486215 Joule <-- Work Done by the System

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Chemical Thermodynamics » First Order Thermodynamics » Work Done by System in Isothermal Process

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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

Work Done by System in Isothermal Process Formula

Work Done by the System = -Number of Moles given KE*8.314*Temperature given RP*ln(Volume finally/Volume Initially)
W_sys = -N_KE*8.314*T_RP*ln(V_f/Vi)

Is work done by a system positive or negative?

If work is done on the system, its sign is positive. If work is done by the system, its sign is negative. Thus, the energy entering the elephant's front legs has a positive sign. The work the elephant does on the performer has a negative sign.

How to Calculate Work Done by System in Isothermal Process?

Work Done by System in Isothermal Process calculator uses Work Done by the System = -Number of Moles given KE*8.314*Temperature given RP*ln(Volume finally/Volume Initially) to calculate the Work Done by the System, The Work Done by System in Isothermal Process formula is defined as if force is applied on a system and the system experiences a displacement then the work is said to be done on the system. If a system applies a force on something else and causes displacement then the work is said to be done by the system. Work Done by the System is denoted by W_sys symbol.

How to calculate Work Done by System in Isothermal Process using this online calculator? To use this online calculator for Work Done by System in Isothermal Process, enter Number of Moles given KE (N_KE), Temperature given RP (T_RP), Volume finally (V_f) & Volume Initially (Vi) and hit the calculate button. Here is how the Work Done by System in Isothermal Process calculation can be explained with given input values -> -11.486215 = -0.04*8.314*15*ln(100/10).

FAQ

What is Work Done by System in Isothermal Process?

The Work Done by System in Isothermal Process formula is defined as if force is applied on a system and the system experiences a displacement then the work is said to be done on the system. If a system applies a force on something else and causes displacement then the work is said to be done by the system and is represented as W_sys = -N_KE*8.314*T_RP*ln(V_f/Vi) or Work Done by the System = -Number of Moles given KE*8.314*Temperature given RP*ln(Volume finally/Volume Initially). Number of Moles given KE is the total number of particles present in the specific container, Temperature given RP is the degree or intensity of heat present in a substance or object, 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 Initially is the initial volume of distribution and it is related to the amount in the system before the chemical is distributed or eliminated.

How to calculate Work Done by System in Isothermal Process?

The Work Done by System in Isothermal Process formula is defined as if force is applied on a system and the system experiences a displacement then the work is said to be done on the system. If a system applies a force on something else and causes displacement then the work is said to be done by the system is calculated using Work Done by the System = -Number of Moles given KE*8.314*Temperature given RP*ln(Volume finally/Volume Initially). To calculate Work Done by System in Isothermal Process, you need Number of Moles given KE (N_KE), Temperature given RP (T_RP), Volume finally (V_f) & Volume Initially (Vi). With our tool, you need to enter the respective value for Number of Moles given KE, Temperature given RP, Volume finally & Volume Initially 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 Number of Moles given KE, Temperature given RP, Volume finally & Volume Initially. We can use 3 other way(s) to calculate the same, which is/are as follows -

Work Done by the System = External Pressure*Small Volume Change
Work Done by the System = 8.314*(High Temperature-Low Temperature)/(Adiabatic Coefficient-1)
Work Done by the System = 8.314*(Low Temperature-High Temperature)/(Adiabatic Coefficient-1)

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