To convert the ideal gas constant from Pa m³/gmol·K to psi ft³/Ibmol.°R, we need to use conversion factors.
1. Start with the given value of the ideal gas constant: 8.314 Pa m³/gmol·K.
2. To convert Pa to psi, we can use the conversion factor: 1 psi = 6894.76 Pa.
So, multiply the given value by 6894.76 to get the value in psi.
(8.314 Pa m³/gmol·K) * (6894.76 psi/Pa) = 57,062.3 psi m³/gmol·K.
3. To convert m³ to ft³, we can use the conversion factor: 1 m³ = 35.3147 ft³.
So, divide the value obtained in step 2 by 35.3147 to get the value in ft³.
57,062.3 psi m³/gmol·K / 35.3147 ft³/m³ = 1,615.9 psi ft³/gmol·K.
4. To convert gmol to Ibmol, we can use the conversion factor: 1 Ibmol = 453.592 gmol.
So, divide the value obtained in step 3 by 453.592 to get the value in Ibmol.
1,615.9 psi ft³/gmol·K / 453.592 Ibmol/gmol = 3.563 psi ft³/Ibmol.
5. To convert K to °R, we can use the conversion factor: 1 °R = 1 K × 9/5.
So, multiply the value obtained in step 4 by 1.8 to get the value in °R.
3.563 psi ft³/Ibmol * 1.8 °R/K = 6.413 psi ft³/Ibmol.°R.
Therefore, the ideal gas constant of 8.314 Pa m³/gmol·K is equivalent to 6.413 psi ft³/Ibmol.°R.