Description
For nonnegative moles and positive temperature, gasConstant, initialVolume, and finalVolume return workByGas=moles*gasConstant*temperature*ln(finalVolume/initialVolume).
Thermal calculations distinguish absolute temperature from temperature change, and heat capacity from specific heat. An ideal-gas or expansion term also assumes a compatible unit system and a stated process or material model. Temperature-dependent properties, constraints, and real-gas effects can require a broader treatment.
For nonnegative moles and positive temperature, gasConstant, initialVolume, and finalVolume return workByGas=moles*gasConstant*temperature*ln(finalVolume/initialVolume).
When to use this tool
Use Ideal Gas Isothermal Work Ratio when you need this expansion, heat-capacity, or ideal-gas term under the stated material and process assumptions.
How to use the tool and how it works
- Enter moles, temperature, gasConstant, initialVolume, finalVolume. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read workByGas. Use the output convention below.
For nonnegative moles and positive temperature, gasConstant, initialVolume, and finalVolume return workByGas=moles*gasConstant*temperature*ln(finalVolume/initialVolume).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| moles | Amount of substance in moles. | Required. Finite number; minimum 0. |
| temperature | Positive absolute temperature in kelvin. | Required. Finite number; strictly above 0. |
| gasConstant | Gas constant in the chosen energy unit per mole per kelvin. | Required. Finite number; strictly above 0. |
| initialVolume | Initial Volume | Required. Finite number; strictly above 0. |
| finalVolume | Final Volume | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| workByGas | Positive for expansion and negative for compression, in the gas-constant energy unit. | Required. Finite number. |
{
"input": {
"moles": 1,
"temperature": 300,
"gasConstant": 8.314462618,
"initialVolume": 1,
"finalVolume": 2
},
"output": {
"workByGas": 1728.9438964613287
}
}Limitations and assumptions
- Temperature is kelvin, volumes share a unit, and R determines the energy unit. This assumes a reversible isothermal ideal-gas process; expansion gives positive work by the gas and compression negative work.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Use temperature-dependent properties or an appropriate equation of state when the ideal approximation is inadequate. Keep pressure-volume units compatible with the chosen gas constant and distinguish kelvin from temperature differences.
References
Similar or alternative tools
- Friction Work Sign Factor
Evaluate supplied force work F*s*cos(angle); a force or displacement of zero still has an explicitly supplied angular sign factor.
- Wavelength Phase Distance Ratio
For positive wavelength return cycles=distance/wavelength and phaseRadians=2*pi*cycles.