Thermodynamics, Statistical Thermodynamics, & Kinetics
3rd Edition
ISBN: 9780321766182
Author: Thomas Engel, Philip Reid
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Question
Chapter 1, Problem 1.37NP
Interpretation Introduction
Interpretation: The given expression should be proved for correct limit as
Concept Introduction: The method of evaluating the limits of indeterminate forms is done by L’Hôpital’s rule. In this rule, the limit of indeterminate quotient and the limits of derivatives of quotient are equal.
The expression for the rule is:
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Given ab = Q/r and R = 2T, solve for T in terms of A, B, and Q
For an ideal gas obeying the ideal gas law, P = nRT/V , where R is the gas constant.
Write the total differential dz and evaluate the partial derivatives
Prove that the difference between (CP) and (CV) for real gases is given by the following relationship: C_P-C_V=-{(∂H/∂P)_T-V} (∂P/∂T)_V
Chapter 1 Solutions
Thermodynamics, Statistical Thermodynamics, & Kinetics
Ch. 1 - Real walls are never totally adiabatic. Use your...Ch. 1 - The parameter a in the van der Waals equation is...Ch. 1 - Give an example based on molecule—molecule...Ch. 1 - Prob. 1.4CPCh. 1 - Prob. 1.5CPCh. 1 - The location of the boundary between the system...Ch. 1 - Prob. 1.7CPCh. 1 - At sufficiently high temperatures, the van der...Ch. 1 - Prob. 1.9CPCh. 1 - Prob. 1.10CP
Ch. 1 - Prob. 1.11CPCh. 1 - Prob. 1.12CPCh. 1 - Prob. 1.13CPCh. 1 - The mass of a He atom is less than that of an Ar...Ch. 1 - Prob. 1.15CPCh. 1 - Prob. 1.1NPCh. 1 - A compressed cylinder of gas contains 2.74103g of...Ch. 1 - Calculate the pressure exerted by Ar for a molar...Ch. 1 - A sample of propane C3H8 is placed in a closed...Ch. 1 - A gas sample is known to be a mixture of ethane...Ch. 1 - One liter of fully oxygenated blood can carry 0.18...Ch. 1 - Yeast and other organisms can convert glucose...Ch. 1 - A vessel contains 1.15 g liq H2O in equilibrium...Ch. 1 - Consider a 31.0 L sample of moist air at 60.C and...Ch. 1 - Prob. 1.10NPCh. 1 - Prob. 1.11NPCh. 1 - A rigid vessel of volume 0.400m3 containing H2 at...Ch. 1 - A mixture of oxygen and hydrogen is analyzed by...Ch. 1 - An athlete at high performance inhales 3.75L of...Ch. 1 - Devise a temperature scale, abbreviated G, for...Ch. 1 - Aerobic cells metabolize glucose in the...Ch. 1 - Prob. 1.17NPCh. 1 - A mixture of 2.10103g of O2, 3.88103mol of N2, and...Ch. 1 - Prob. 1.19NPCh. 1 - Prob. 1.20NPCh. 1 - An initial step in the biosynthesis of glucose...Ch. 1 - Prob. 1.22NPCh. 1 - Assume that air has a mean molar mass of 28.9gmol1...Ch. 1 - When Julius Caesar expired, his last exhalation...Ch. 1 - Calculate the number of molecules per m3 in an...Ch. 1 - Prob. 1.26NPCh. 1 - A mixture of H2 and NH3 has a volume of 139.0cm3...Ch. 1 - A sealed flask with a capacity of 1.22dm3 contains...Ch. 1 - A balloon filled with 11.50 L of Ar at 18.7C and 1...Ch. 1 - Carbon monoxide competes with oxygen for binding...Ch. 1 - The total pressure of a mixture of oxygen and...Ch. 1 - Suppose that you measured the product PV of 1 mol...Ch. 1 - Liquid N2 has a density of 875.4kgm3 at its normal...Ch. 1 - Calculate the volume of all gases evolved by the...Ch. 1 - Prob. 1.35NPCh. 1 - A glass bulb of volume 0.198 L contains 0.457 g of...Ch. 1 - Prob. 1.37NPCh. 1 - Prob. 1.38NPCh. 1 - Many processes such as the fabrication of...Ch. 1 - Rewrite the van der Waals equation using the molar...
Knowledge Booster
Similar questions
- At the critical point for carbon dioxide, the substance is very far from being an ideal gas. Prove this statement by calculating the density of an ideal gas in g/cm3 at the conditions of the critical point and comparing it with the experimental value. Compute the experimental value from the fact that a mole of CO2 at its critical point occupies 94 cm3.arrow_forwardUse the approximation 1 x-1 1 x x2 to determine an expression for the virial coefficient C in terms of the van der Waals constants.arrow_forward4) Consider an adyabatic expansion of the ideal single-atom gas. (a) Find dT/dV differential equality by obtaining dQ = 0 in the first law. (b) Resolve the dT/dV differential equality for the adyabatic condition. ( V Ta =constant SHOW IT). (c)Using the ideal gas law,, p Vg =constant Show it and find garrow_forward
- Starting from the definition of Cp and Cv, derive the expression of (Cp-Cv) expressed onlyin measurable quantities. the final answer will be:arrow_forwardind the mass of ammonia (NH3) in a 5 m^3 vessel having a pressure of 120 kpa and 20C.arrow_forward4.Initial Pressure = 95 kPa, Initial Volume = 4.0 L, Final Pressure = 101 kPa, Final Volume = 6.0 L and Final Temperature = 471 K. Solve for Initial Temperature. (x10^ due to SF) Answer: _x10^_ Unit: _arrow_forward
- The molar volume of oxygen, O2, is 3.90 dm3 mol-1 at 10.0 bar and 200 °c. Assuming that the expansion may be truncated after the second term, calculate the second virial coefficient of oxygen at this temperature.arrow_forwardCalculate the most probable speed, vmp ( in m s-1) of He molecules at 25.0oC, 1.00 bar.Answer in 3 SFarrow_forwardUsing a vacuum pump, a vessel containing pure nitrogen gas has its internal pressure reduced to 1.33 × 10-7 Pa. Assuming T= 298 K and a collision diameter of 395 pm for nitrogen gas, answer the following questions: a) What is the root mean square (RMS) speed of the gas?b) What is the mean free path of the gas?c) What is the collision frequency of the gas? You can approximate the mean speed as being equal to the RMS speed.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage Learning
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,
Chemistry: The Molecular Science
Chemistry
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:Cengage Learning