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The Heat Transferred in Thermodynamic Process is the energy exchanged between a system and its surroundings during a thermodynamic process involving an ideal gas. Check FAQs
Q=[R]⋅TInitial⋅ln(VfVi)
Q - Heat Transferred in Thermodynamic Process?TInitial - Initial Temperature of Gas?Vf - Final Volume of System?Vi - Initial Volume of System?[R] - Universal gas constant?

Heat Transferred in Isothermal Process (using Volume) Example

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With units
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Here is how the Heat Transferred in Isothermal Process (using Volume) equation looks like with Values.

Here is how the Heat Transferred in Isothermal Process (using Volume) equation looks like with Units.

Here is how the Heat Transferred in Isothermal Process (using Volume) equation looks like.

1151.77Edit=8.3145⋅350Edit⋅ln(13.37Edit9Edit)
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Heat Transferred in Isothermal Process (using Volume) Solution

Follow our step by step solution on how to calculate Heat Transferred in Isothermal Process (using Volume)?

FIRST Step Consider the formula
Q=[R]⋅TInitial⋅ln(VfVi)
Next Step Substitute values of Variables
∴ Q=[R]⋅350K⋅ln(13.37m³9m³)
Next Step Substitute values of Constants
∴ Q=8.3145⋅350K⋅ln(13.37m³9m³)
Next Step Prepare to Evaluate
∴ Q=8.3145⋅350⋅ln(13.379)
Next Step Evaluate
∴Q=1151.76995389307J
LAST Step Rounding Answer
∴Q=1151.77J

Heat Transferred in Isothermal Process (using Volume) Formula Elements

Variables
Constants
Functions
Heat Transferred in Thermodynamic Process
The Heat Transferred in Thermodynamic Process is the energy exchanged between a system and its surroundings during a thermodynamic process involving an ideal gas.
Symbol: Q
Measurement: EnergyUnit: J
Note: Value can be positive or negative.
Formulas to find Heat Transferred in Thermodynamic ProcessOpen Variable
Initial Temperature of Gas
The Initial Temperature of Gas is the temperature at which a gas begins to exist in a system, influencing its pressure and volume according to thermodynamic principles.
Symbol: TInitial
Measurement: TemperatureUnit: K
Note: Value can be positive or negative.
Formulas to find Initial Temperature of GasOpen Variable
Final Volume of System
The Final Volume of System is the total space occupied by an ideal gas in a thermodynamic process, reflecting the system's conditions and behavior.
Symbol: Vf
Measurement: VolumeUnit: m³
Note: Value can be positive or negative.
Formulas to find Final Volume of SystemOpen Variable
Initial Volume of System
The Initial Volume of System is the volume occupied by a gas before any changes in pressure or temperature occur, crucial for understanding gas behavior in thermodynamic processes.
Symbol: Vi
Measurement: VolumeUnit: m³
Note: Value can be positive or negative.
Formulas to find Initial Volume of SystemOpen Variable
Universal gas constant
Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.
Symbol: [R]
Value: 8.31446261815324
ln
The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.
Syntax: ln(Number)

Other Formulas to find Heat Transferred in Thermodynamic Process

​Go Heat Transfer in Isochoric Process
Q=n⋅Cv molar⋅ΔT
​Go Heat Transfer in Isobaric Process
Q=n⋅Cp molar⋅ΔT
​Go Heat Transferred in Isothermal Process (using Pressure)
Q=[R]⋅TInitial⋅ln(PiPf)

Other formulas in Ideal Gas category

​Go Change in Internal Energy of System
U=n⋅Cv molar⋅ΔT
​Go Enthalpy of System
Hs=n⋅Cp molar⋅ΔT
​Go Specific Heat Capacity at Constant Pressure
Cp molar=[R]+Cv
​Go Specific Heat Capacity at Constant Volume
Cv molar=Cp molar-[R]

How to Evaluate Heat Transferred in Isothermal Process (using Volume)?

Heat Transferred in Isothermal Process (using Volume) evaluator uses Heat Transferred in Thermodynamic Process = [R]*Initial Temperature of Gas*ln(Final Volume of System/Initial Volume of System) to evaluate the Heat Transferred in Thermodynamic Process, Heat transferred in isothermal process (using volume) calculates the heat transferred in taking an ideal gas system from given volume to final volume value isothermally. Heat Transferred in Thermodynamic Process is denoted by Q symbol.

How to evaluate Heat Transferred in Isothermal Process (using Volume) using this online evaluator? To use this online evaluator for Heat Transferred in Isothermal Process (using Volume), enter Initial Temperature of Gas (TInitial), Final Volume of System (Vf) & Initial Volume of System (Vi) and hit the calculate button.

FAQs on Heat Transferred in Isothermal Process (using Volume)

What is the formula to find Heat Transferred in Isothermal Process (using Volume)?
The formula of Heat Transferred in Isothermal Process (using Volume) is expressed as Heat Transferred in Thermodynamic Process = [R]*Initial Temperature of Gas*ln(Final Volume of System/Initial Volume of System). Here is an example- 1153.946 = [R]*350*ln(13.37/9).
How to calculate Heat Transferred in Isothermal Process (using Volume)?
With Initial Temperature of Gas (TInitial), Final Volume of System (Vf) & Initial Volume of System (Vi) we can find Heat Transferred in Isothermal Process (using Volume) using the formula - Heat Transferred in Thermodynamic Process = [R]*Initial Temperature of Gas*ln(Final Volume of System/Initial Volume of System). This formula also uses Universal gas constant and Natural Logarithm (ln) function(s).
What are the other ways to Calculate Heat Transferred in Thermodynamic Process?
Here are the different ways to Calculate Heat Transferred in Thermodynamic Process-
  • Heat Transferred in Thermodynamic Process=Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature DifferenceOpenImg
  • Heat Transferred in Thermodynamic Process=Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature DifferenceOpenImg
  • Heat Transferred in Thermodynamic Process=[R]*Initial Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)OpenImg
Can the Heat Transferred in Isothermal Process (using Volume) be negative?
Yes, the Heat Transferred in Isothermal Process (using Volume), measured in Energy can be negative.
Which unit is used to measure Heat Transferred in Isothermal Process (using Volume)?
Heat Transferred in Isothermal Process (using Volume) is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Heat Transferred in Isothermal Process (using Volume) can be measured.
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