Solution Found!
Use the result of the previous problem and the approximate
Chapter 5, Problem 49P(choose chapter or problem)
Problem 49P
Use the result of the previous problem and the approximate values of a and b given in the text to estimate Tc, Pc, and Vc/N for N2, H2O, and He. (Tabulated values of a and b are often determined by working backward from the measured critical temperature and pressure.)
Problem:
As you can see from Figure 5.20, the critical point is the unique point on the original van der Walls isotherms (before the Maxwell construction) where both the first and second derivatives of P with respect to V (at fixed T) are zero. Use this fact to show that
Questions & Answers
QUESTION:
Problem 49P
Use the result of the previous problem and the approximate values of a and b given in the text to estimate Tc, Pc, and Vc/N for N2, H2O, and He. (Tabulated values of a and b are often determined by working backward from the measured critical temperature and pressure.)
Problem:
As you can see from Figure 5.20, the critical point is the unique point on the original van der Walls isotherms (before the Maxwell construction) where both the first and second derivatives of P with respect to V (at fixed T) are zero. Use this fact to show that
ANSWER:
Step 1 of 5
Use the result of problem , the critical volume, pressure, and temperature is as follows.
Here, and are constants.
Rewrite the equation to solve for