curl --request POST \
  --url https://api.fincept.in/quantlib/physics/thermodynamics/joule-thomson \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "temperature": 300,
  "pressure": 101325,
  "Cp": 29.1,
  "a": 0,
  "b": 0
}
'

{
  "success": true,
  "data": {
    "joule_thomson_coefficient": 0.00000234
  }
}

{
  "detail": "Invalid API key"
}

{
  "detail": "Insufficient credits. This endpoint requires 5 credits."
}

{
  "detail": [
    {
      "loc": [
        "<string>"
      ],
      "msg": "<string>",
      "type": "<string>"
    }
  ]
}

quantlib-physics

Calculate Joule-Thomson Coefficient

Calculates the Joule-Thomson coefficient μ_JT = (∂T/∂P)_H, which describes the temperature change of a gas during isenthalpic (constant enthalpy) expansion. For real gases, this coefficient can be positive (cooling) or negative (heating) depending on temperature and pressure. The inversion temperature separates these regimes.

Use Cases:

Model non-equilibrium processes in markets
Analyze expansion/contraction dynamics
Study irreversible processes in trading
Temperature-pressure analogies in finance
Throttling process models

Formula: μ_JT = (1/C_p)[T(∂V/∂T)_P - V]

For Van der Waals gas: μ_JT ≈ (2a/RT - b)/C_p

Credits: 5 credits per request (Pro Tier) [Tier: ENTERPRISE, Credits: 10]

POST

quantlib

physics

thermodynamics

joule-thomson

curl --request POST \
  --url https://api.fincept.in/quantlib/physics/thermodynamics/joule-thomson \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "temperature": 300,
  "pressure": 101325,
  "Cp": 29.1,
  "a": 0,
  "b": 0
}
'

{
  "success": true,
  "data": {
    "joule_thomson_coefficient": 0.00000234
  }
}

{
  "detail": "Invalid API key"
}

{
  "detail": "Insufficient credits. This endpoint requires 5 credits."
}

{
  "detail": [
    {
      "loc": [
        "<string>"
      ],
      "msg": "<string>",
      "type": "<string>"
    }
  ]
}

Authorizations

X-API-Key

string

header

required

API key for authentication. Get your key at https://api.fincept.in/auth/register

Body

application/json

temperature

number

default:300

Temperature (Kelvin)

Example:

300

pressure

number

default:101325

Pressure (Pa)

Example:

101325

number

default:29.1

Heat capacity at constant pressure (J/(mol·K))

Example:

29.1

number

default:0

Van der Waals parameter a (Pa·m⁶/mol²)

Example:

0.1

number

default:0

Van der Waals parameter b (m³/mol)

Example:

0.01

Response

Joule-Thomson coefficient calculated successfully

success

boolean

Example:

true

data

object

Show child attributes

Free Tier (0 credits)

Basic Tier (1 credit)

Standard Tier (2 credits)

Pro Tier (5 credits)

Enterprise Tier (10 credits)

Calculate Joule-Thomson Coefficient

Authorizations

Body

Response