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Chemical Potential Calculator

Chemical Potential Calculator computes the chemical potential of a substance using the ideal gas approximation for given temperature, pressure, and substance properties.

Formulas Used in Chemical Potential Calculator

The calculator computes the chemical potential (\\(\mu\\)) using the ideal gas approximation:

Chemical Potential Equation:

\\[ \mu = \mu_0 + R T \ln\left(\frac{P}{P_0}\right) \\]

Where:

  • \\(\mu\\): Chemical potential (kJ/mol)
  • \\(\mu_0\\): Standard chemical potential at reference pressure \\(P_0\\) (kJ/mol)
  • \\(R\\): Gas constant (0.008314 kJ/mol·K)
  • \\(T\\): Temperature (K)
  • \\(P\\): Pressure (kPa)
  • \\(P_0\\): Reference pressure (100 kPa)

Example Calculation

Example: Oxygen (O₂) at T = 298 K, P = 100 kPa, \\(\mu_0 = 0 \, \text{kJ/mol}\\)

\\[ \mu = 0 + 0.008314 \cdot 298 \cdot \ln\left(\frac{100}{100}\right) \\] \\[ \mu = 0 + 2.478 \cdot \ln(1) = 0 \, \text{kJ/mol} \\]

Result: \\(\mu = 0 \, \text{kJ/mol}\\).

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