Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 18, Problem 74P
A real gas is more accurately described using the van der Waals equation: [p + a(n/V)2](V − nb) = nRT, where a and b are constants. Find an expression, corresponding to Equation 18.4, for the work done by a van der Waals gas undergoing an isothermal expansion from V1 to V2.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A bottle of volume V = 0.15 m³ contains helium gas (a monatomic gas) at a pressure p = 722,266 Pa (Pascal = N/m² and temperature T = 300 K.
Calculate a numerical value for the internal energy U of this gas.
Include units in your answer, using Sl units (m for meters, kg for kilograms, s for seconds, J for joules, K for kelvin, etc.).
Write your answer as an exponential as described in the instructions.
1.50 moles of a monatomic ideal gas goes isothermally from state 1 to state 2. P1 = 2.8×105 Pa, V1 = 88 m3, and P2 = 6.6×105 Pa. What is the volume in state 2, in m3?
Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
A monatomic ideal gas undergoes an isothermal expansion at 300 K, as the
volume increased from 0.020 to [2*v1] m³.The final pressure is 120.61kPa. The
ideal gas constant is R = 8.314 J/mol · K.
%3D
What is the heat transfer Q to the gas in kilojoules? Please enter your numerical
answer with two decimal places. (for example for 2090 J, enter 2.09 )
Chapter 18 Solutions
Essential University Physics (3rd Edition)
Ch. 18.2 - Two identical gas-cylinder systems are taken from...Ch. 18.2 - Name the basic thermodynamic process involved when...Ch. 18.3 - The same amount of heat flows into equal volumes...Ch. 18 - Prob. 1FTDCh. 18 - Prob. 2FTDCh. 18 - Prob. 3FTDCh. 18 - Why cant an irreversible process be described by a...Ch. 18 - Are the initial and final equilibrium states of an...Ch. 18 - Does the first law of thermodynamics apply to...Ch. 18 - Prob. 7FTD
Ch. 18 - Figure 18.18 shows two processes, A and B. that...Ch. 18 - When you let air out of a tire, the air seems...Ch. 18 - Blow on the back of your hand with your mouth wide...Ch. 18 - You boil water in an open pan. Of which of the...Ch. 18 - Three identical gas-cylinder systems are...Ch. 18 - Prob. 13FTDCh. 18 - In what sense can a gas of diatomic molecules be...Ch. 18 - Prob. 15ECh. 18 - Prob. 16ECh. 18 - A 40-W heat source is applied to a gas sample for...Ch. 18 - Find the rate of heat flow into a system whose...Ch. 18 - In a certain automobile engine, 17% of the total...Ch. 18 - An ideal gas expands from the state (p1, V1) to...Ch. 18 - Repeat Exercise 20 for a process that follows the...Ch. 18 - A balloon contains 0.30 mol of helium. It rises,...Ch. 18 - The balloon of Exercise 22 starts at 100 kPa...Ch. 18 - How much work does it take to compress 2.5 mol of...Ch. 18 - By what factor must the volume of a gas with =...Ch. 18 - Prob. 26ECh. 18 - A carbon-sequestration scheme calls for...Ch. 18 - A gas mixture contains 2.5 mol of O2 and 3.0 mol...Ch. 18 - A mixture of monatomic and diatomic gases has...Ch. 18 - What should be the approximate specific-heat ratio...Ch. 18 - Prob. 31ECh. 18 - An ideal gas expands to 10 times its original...Ch. 18 - During cycling, the human body typically releases...Ch. 18 - A 0.25-mol sample of ideal gas initially occupies...Ch. 18 - As the heart beats, blood pressure in an artery...Ch. 18 - It takes 1.5 kJ to compress a gas isothermally to...Ch. 18 - A gas undergoes an adiabatic compression during...Ch. 18 - A gas with = 1.40 occupies 6.25 L when its at...Ch. 18 - A gas sample undergoes the cyclic process ABCA...Ch. 18 - Prob. 40PCh. 18 - A gasoline engine has compression ratio 8.5 (sec...Ch. 18 - By what factor must the volume of a gas with =...Ch. 18 - Volvos B5340 engine, used in the V70 series cars,...Ch. 18 - A research balloon is prepared for launch by...Ch. 18 - Prob. 45PCh. 18 - By what factor does the internal energy of an...Ch. 18 - An ideal monatomic gas is compressed to half its...Ch. 18 - A gas expands isothermally from state A to state...Ch. 18 - A 3.50-mol sample of ideal gas with molar specific...Ch. 18 - Prove that the slope of an adiabat at a given...Ch. 18 - An ideal gas with = 1.67 starts at point A in...Ch. 18 - The gas of Example 18.4 starts at state A in Fig....Ch. 18 - The gas of Example 18.4 starts at state A in Fig....Ch. 18 - A 25-L sample of ideal gas with = 1.67 is at 250...Ch. 18 - Prob. 55PCh. 18 - A 25-L sample of ideal gas with = 1.67 is at 250...Ch. 18 - Youre the product safety officer for a company...Ch. 18 - Figure 18.22 shows data and a fit curve from an...Ch. 18 - External forces compress 21 mol of ideal monatomic...Ch. 18 - A gas with = 7/5 is at 273 K when its compressed...Ch. 18 - An ideal gas with = 1.3 is initially at 273 K and...Ch. 18 - The curved path in Fig. 18.23 lies on the 350-K...Ch. 18 - Repeat part (a) of Problem 62 for the path ACDA in...Ch. 18 - A gas mixture contains monatomic argon and...Ch. 18 - How much of a triatomic gas with Cv = 3R would you...Ch. 18 - An 8.5-kg rock at 0C is dropped into a...Ch. 18 - A piston-cylinder arrangement containing 0.30 mol...Ch. 18 - Experimental studies show that the pV curve for a...Ch. 18 - Show that the application of Equation 18.3 to an...Ch. 18 - A horizontal piston-cylinder system containing n...Ch. 18 - Prob. 71PCh. 18 - The table below shows measured values of pressure...Ch. 18 - In a reversible process, a volume of air V0= 17 m3...Ch. 18 - A real gas is more accurately described using the...Ch. 18 - Repeat Exercise 20 for an expansion along the path...Ch. 18 - The adiabatic lapse rate is the rate at which air...Ch. 18 - The nuclear power plant at which youre the public...Ch. 18 - Prob. 78PCh. 18 - One scheme for reducing greenhouse-gas emissions...Ch. 18 - Warm winds called Chinooks (a Native-American term...Ch. 18 - Warm winds called Chinooks (a Native-American term...Ch. 18 - Warm winds called Chinooks (a Native-American term...Ch. 18 - Warm winds called Chinooks (a Native-American term...
Additional Science Textbook Solutions
Find more solutions based on key concepts
56. A 2.0-m-long string is under 20 N of tension. A pulse travels the length of the string in 50 ms. What is th...
College Physics: A Strategic Approach (4th Edition)
Earth and Sun arc 8.33 light minutes apart. Event A occurs on Earth at time t = 0 and event B on the Sun at t =...
Essential University Physics: Volume 2 (3rd Edition)
Some ceiling fans have decorative wicker reeds on their blades. Discuss whether these fans are as quiet and eff...
College Physics
Two coils close to each other have a mutual inductance of 32 mH. If the current in one coil decays according to...
University Physics Volume 2
Choose the best answer to each of the following. Explain your reasoning. Current evidence suggests that ordinar...
Cosmic Perspective Fundamentals
9. The forces in FIGURE EX6.9 act on a 2.0 kg object. What are the values of ax and ay, the x- and y-componen...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- In the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is equivalent to N/V=2.681019cm3, as stated. (b) About how many atoms are mere in one m3 (a cubic micrometer) at STP? (c) What does your answer to part (b) imply about the separation of Mama and molecules?arrow_forwardGiven the ideal gas law P V = k T, where k> 0 is a constant. We have the equation for V in terms of P and T. Finding the rate of change of the volume with respect to temperature at constant pressure, the interpretation of the result is: 1 Because this partial derivative is negative, the volume decreases as the temperature decreases at a fixed pressure. . 2. Because this partial derivative is negative, the volume increases as the temperature increases at a fixed pressure. 3. Because this partial derivative is positive, the volume increases as the temperature decreases at a fixed pressure. 4. Because this partial derivative is positive, the volume increases as the temperature increases at a fixed pressure.arrow_forwardA)An ideal gas is confined to a container at a temperature of 330 K.What is the average kinetic energy of an atom of the gas? (Express your answer to two significant figures.) B)2.00 mol of the helium is confined to a 2.00-L container at a pressure of 11.0 atm. The atomic mass of helium is 4.00 u, and the conversion between u and kg is 1 u = 1.661 ××10−27 kg.Calculate vrmsvrms. (Express your answer to three significant figures.) C)A gold (coefficient of linear expansion α=14×10−6K−1α=14×10−6K−1 ) pin is exactly 4.00 cm long when its temperature is 180∘∘C. Find the decrease in long of the pin when it cools to 28.0∘∘C? (Express your answer to two significant figures.)arrow_forward
- Two containers of equal volume each hold samples of the same ideal gas. Container A has 2 times as many molecules as container B. If the gas pressure is the same in the two containers, find the ratio of the the absolute temperatures TA and TB ( i.e TA / TB ) . Calculate to 2 decimals.arrow_forwardProblem 3. The viral coefficients of a gas at 20 °C and 11.5 bar are B = -138 cm³ mol¹ and C=7222 cmº mol². Calculate the V (molar volume) Z (compressibility factor) of the gas. Use the equation below (R = 83.14 cm³ bar mol-¹ K-¹). PV 2 = ² = (1 + = + =) Z RTarrow_forward1.7 Ideal gas response functions Find the thermal expansion coefficient and the isothermal compressibility for an ideal gas and show that in this case Cp - Cy = - a² can be reduced to Cp – Cy = Nkg for the molar specific heats. TV Ктarrow_forward
- Ideal gases are often studied at standard ambient temperature and pressure (SATP). The International Union of Pure and Applied Chemistry (IUPAC) defines SATP to be T = 25° C and P = 100 kPa. a. Calculate N/V (in particles per cubic meter) for an ideal gas at SATP b. How many atoms of an ideal gas at SATP are there in one cubic centimeter?arrow_forwardWhat is the total internal kinetic energy of 1.30 mol of an ideal gas at 0.0°C and 1.00 atm? Universal gas constant = 8.314 J/(mol·K). (See Appendix B Table B.1.)arrow_forwardThe pressure P and volume V of an expanding gas are related by the formula PV^b=c, where b and c are constants (this holds in adiabatic expansion, with or without loss). Find dP/dt if b=1.5, P=7 kPa, V=110 cm^3, and dV/dt=40 cm^3/min.arrow_forward
- How many molecules are in a typical object, such as gas in a tire or water in a drink? We can use the ideal gas law to give us an idea of how large N typically is.Calculate the number of molecules in a cubic meter of gas at standard temperature and pressure (STP), which is defined to be 0ºC and atmospheric pressure.arrow_forwardWhen the gas is in state 1, its temperature is T1. Find the temperature in T3 of the gas when it is in state 3. (Keep in mind that this is an ideal gas.) Express T3 in terms of T1.arrow_forwardThe heat capacity at constant pressure of hydrogen cyanide (HCN) is given by the expression:Cp [J / (mol. ° C)] = 35.3 + 0.0291Tto). Write an expression for the constant volume heat capacity of HCN, assuming it behaves as an ideal gas.b). Calculate ΔH (J / mol) for the constant pressure process.HCN (25 ° C, 0.80 atm) at (100 ° C, 0.80 atm) R = 8.314 J / mol.Kc). Calculate the ΔU (J / mol) for the constant volume processHCN (25 ° C, 50 m3 / kmol) at (100 ° C, 50 m3 / kmol) R = 8.314 J / mol.Karrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Thermodynamics: Crash Course Physics #23; Author: Crash Course;https://www.youtube.com/watch?v=4i1MUWJoI0U;License: Standard YouTube License, CC-BY