Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 1, Problem 1.80E
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Show that at a critical point, the first and second derivatives of the pressure with respect to the volume at constant temperature are equal to zero.
Chapter 1 Solutions
Physical Chemistry
Ch. 1 - A bomb calorimeter is a study metal vessel in...Ch. 1 - Difference between the system and the...Ch. 1 - Prob. 1.3ECh. 1 - Prob. 1.4ECh. 1 - Prob. 1.5ECh. 1 - Prob. 1.6ECh. 1 - Prob. 1.7ECh. 1 - A pot of cold water is heated on a stove, and when...Ch. 1 - hat difference is necessary for heat to flow...Ch. 1 - What is the value of FT for a sample of gas whose...
Ch. 1 - What is the value of FP for a sample of gas whose...Ch. 1 - Prob. 1.12ECh. 1 - Hydrogen gas is used in weather balloon because it...Ch. 1 - Prob. 1.14ECh. 1 - A 2.0 L soda bottle is pressurized with 4.5 atm of...Ch. 1 - The Mount Pinatubo volcano eruption in 1991...Ch. 1 - Prob. 1.17ECh. 1 - Scottish physicist W. J. M. Rankine proposed an...Ch. 1 - Use the two appropriate values of R to determine a...Ch. 1 - Prob. 1.20ECh. 1 - Pressures of gases in mixtures are referred to as...Ch. 1 - Earths atmosphere is approximately 80 N2 and 20...Ch. 1 - The atmospheric surface pressure on Venus is 90...Ch. 1 - Prob. 1.24ECh. 1 - Prob. 1.25ECh. 1 - In the anaerobic oxidation of glucose by yeast,...Ch. 1 - What are the slopes of the following lines at the...Ch. 1 - For the following function, evaluate the...Ch. 1 - Determine the expressions for the following,...Ch. 1 - Determine the expressions for the following,...Ch. 1 - Prob. 1.31ECh. 1 - Prob. 1.32ECh. 1 - Prob. 1.33ECh. 1 - Prob. 1.34ECh. 1 - What properties of a nonideal gas do the Vander...Ch. 1 - Prob. 1.36ECh. 1 - Prob. 1.37ECh. 1 - Calculate the Boyle temperatures for carbon...Ch. 1 - Prob. 1.39ECh. 1 - Prob. 1.40ECh. 1 - Table 1.4 show that the second virial coefficient...Ch. 1 - Prob. 1.42ECh. 1 - What is the van der Waals constant a for Ne in...Ch. 1 - Prob. 1.44ECh. 1 - Under what conditions would the van der Waals...Ch. 1 - By definition, the compressibility of an ideal gas...Ch. 1 - The second virial coefficient B and the third...Ch. 1 - Use the approximation 1 x-1 1 x x2 to...Ch. 1 - Why is nitrogen a good choice for the study of...Ch. 1 - Evaluate for a gas following the Redlich-Kwong...Ch. 1 - Numerically evaluate for one mole of methane...Ch. 1 - Under what conditions of volume does a van der...Ch. 1 - At high temperatures, one of the van der Waals...Ch. 1 - Under what conditions of temperature does a...Ch. 1 - The Berthelot equation of state for one mole of...Ch. 1 - Prob. 1.56ECh. 1 - Referring to exercises 1.6 and 1.7, does it matter...Ch. 1 - Prob. 1.58ECh. 1 - Use Figure 1.11 to construct the cyclic rule...Ch. 1 - Prob. 1.60ECh. 1 - Prob. 1.61ECh. 1 - Calculate for one mole of an ideal gas at STP and...Ch. 1 - Prob. 1.63ECh. 1 - Show that = T/p for an ideal gas.Ch. 1 - Determine an expression for V/T p, n in terms of ...Ch. 1 - Prob. 1.66ECh. 1 - Prob. 1.67ECh. 1 - Perform a units analysis on the exponent of the...Ch. 1 - Using the barometric formula, calculate the...Ch. 1 - The barometric formula can also be used for...Ch. 1 - Prob. 1.71ECh. 1 - Prob. 1.72ECh. 1 - Prob. 1.73ECh. 1 - Prob. 1.74ECh. 1 - Prob. 1.75ECh. 1 - Prob. 1.76ECh. 1 - Prob. 1.77ECh. 1 - Prob. 1.78ECh. 1 - Prob. 1.79ECh. 1 - Use the ideal gas law to symbolically prove the...Ch. 1 - Prob. 1.81E
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- Under what conditions would the van der Waals constant b be negative? Do you think there are any gases for which this occurs?arrow_forwardUnder what conditions of temperature does a Redlich-Kwong gas behave like an ideal gas? Use the Redlich-Kwong equation of state to justify your answer.arrow_forwardPerform a units analysis on the exponent of the barometric function and verify that the overall exponent is unitless.arrow_forward
- Repeat the previous exercise for a gas that follows the Berthelot equation of state see exercise 1.55.arrow_forwardUnder what conditions of volume does a van der Waals gas behave like an ideal gas? Use the van der Waals equation of state to justify your answer.arrow_forwardEvaluate for a gas following the Redlich-Kwong equation of state? pVarrow_forward
- For the following function, evaluate the derivatives in a-f below. F(w,x,y,z)=3xy2+w3z332yxy2z3w a.(Fx)w.y,zb.(Fw)x,y,zc.(Fy)w.x,zd.[ z(Fw)w.y,z ]w,y,ze.[ z(Fw)w.x,y ]w,y,zf.{ [ z(Fw)w.x,y ]w,y,z }x,y,zarrow_forwardNumerically evaluate for one mole of methane acting as a van der Waals gas at a T = 298 K and V = 25.0 L and b T = 1000 K and V = 250.0 L. Comment on which set of conditions yields a number closer to that predicted by the ideal gas law. pVT,narrow_forwardThe ideal gas law is theequation of state for an ideal gas. Why cantit be used to determine TpH?arrow_forward
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