--%>
Assignment Help - homework help

Problem on Clausius-Clapeyron equation

The Clausius-Clapeyron equation gives us an expression for dP/dT. Now we will derive an analog to the Clausius-Clapeyron equation by obtaining an expression for dT/dµ when two phases are at equilibrium. For simplicity, let’s derive this for vapor-liquid (V-L) equilibrium.

a. Write three conditions for V-L equilibrium.
 
b. Obtain an expression for dP in terms of dT and dµ.
 
c. Combine (some) of your results from part (a) and your result from part (b) to find an expression for dT/dµ in terms of T, ρL, ρV (ρ = N/V), SL/VL and SV/VV.

   Related Questions in Chemical Engineering

  • Q : Problem on frictional losses A stream

    A stream of propane is throttled from 4.298 bar and 450 K to 0.22 bar. This process is irreversible due to frictional losses at the nozzle. a. In words or equations, why are frictional losses irreversible?

    Q : Problem on flow rate of natural gas

    Natural Gas is flowing through a 10 inch schedule 40 pipe. The gas is at 109°F and 7.3 psig. The outside air temperature is 92°F. If the flow rate of the gas is 8,000 SCFM: What is the flow rate in lb/hr?

    		•
  • Q : Chemical flow I) Sulphur dioxide (SO2)

    I) Sulphur dioxide (SO2) with a volumetric flow rate 5000cm3/s at 1 bar and 1000C is mixed with a second SO2 stream flowing at 2500cm3/s at 2 bar and 200C. The process occurs at steady state. You may assume ideal gas behaviour. For SO2 take the heat capacity at constant pressure to be CP/R = 3.267+5

    		•
  • Q : Thermodynamics I) Sulphur dioxide (SO2)

    I) Sulphur dioxide (SO2) with a volumetric flow rate 5000cm3/s at 1 bar and 1000C is mixed with a second SO2 stream flowing at 2500cm3/s at 2 bar and 200C. The process occurs at steady state. You may assume ideal gas behaviour. For SO2 take the heat capacity at constant pressure to be CP/R = 3.267+5

    		•
  • Q : Calculate the pressure Calculate the

    Calculate the pressure at the bottom of a column of Ethanol 100 ft high using a pressure (force) balance in American Engineering Units.

    		•
  • Q : Problem on ideal gas law A stream of

    A stream of steam at 1 bar and 400 K enters a compressor through a pipe with cross-sectional area of 0.1 m2 at a velocity of 5 m/s. The pressure of the outlet stream is at 5 bar, temperature is at 500 K, and velocity is 1 m/s. Assume the steam can be descri

    		•
  • Q : Materials and energy balance you look

    you look up the specific gravity of 96% H2SO4 and find it is 1.858.calculate the weight

    		•
  • Q : Calculating adiabatic flame temperature

    Calculate the adiabatic flame temperature of acetylenes gas at a pressure of 1 bar under the following conditions. The reactants are initially at 298K. Assume that the acetylene reacts completely to form CO2 and H2O:

    Q : I need to solve the material and energy

    I need to solve the material and energy balance for the att.

    		•
  • Q : Hh to determine the temperature that

    to determine the temperature that occurred in a fire in a warehouse, the arson investigator noticed that the relief valve on a methane storage tank had popped open at 3000 psig, the rated value. Before the fire started, the tank was presumably at ambient conditions and the gage read 1950 psig. If th

    		•