A cylindrical vessel with rigid adiabatic walls is separated into two parts by a frictionless adiabatic piston. Each part contains 45.0 L of an ideal monatomic gas with
- Calculate the work done on the right part in this process and the final temperature in the right part.
- Calculate the final temperature in the left part and the amount of heat that flowed into this part.
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Thermodynamics, Statistical Thermodynamics, & Kinetics
- A nearly flat bicycle tire becomes noticeably warmer after it has been pumped up. Approximate this process as a reversible adiabatic compression. Assume the initial pressure and temperature of the air before it is put in the tire to be P = 1.00 bar and T = 279 K. The final pressure in the tire is P₁ = 3.75 bar ▼ Part A Calculate the final temperature of the air in the tire. Assume that Cv,m = 5R/2. Express your answer with the appropriate units. Tf = μA Value Units ?arrow_forwardOne mole (1.0 mol) of an ideal gas is initially at T1 = 298 K and has volume V1 = 2.0 L. It is then reversibly expanded to final volume V2 = 3.0 L. Assume Cp = 5/2 R and Cv = 3/2R. a) Calculate the following if the expansion is adiabatic: 1) ΔT 2) q 3) w 4) ΔU 5) ΔHarrow_forwardYou have four samples of ideal gas, each of which contains the same number of moles of gas and has the same initial temperature, volume, and pressure. You compress each sample to one-half of its initial volume. Rank the four samples in order from highest to lowest value of the final pressure. (i) A monatomic gas compressed isothermally; (ii) a monatomic gas compressed adiabatically; (iii) a diatomic gas compressed isothermally; (iv) a diatomic gas compressed adiabatically.arrow_forward
- (a) Calculate the final temperature of a sample of CO2 of mass 16.0 g that is expanded reversibly and adiabatically from 500 cm at 298.15 K to 2. 00 dm³ if Cp.m is equal to 37.11 J K' mol'. Tr=Ti (Vi/Vr)"Carrow_forwardA 1.00-mol sample of an ideal monatomic gas is taken through the three-stage cycle as shown The process A to B is a isothermal expansion. PA = 49/10, PB = 14/10, VA = 14, VB = 49. Calculate the energy added to the gas by heat in kJ. Round your answer to the nearest hundredth (i.e. if your answer is 1.875, round it to 1.88). Take 1 atm = 101300 Pa. P (atm) PA Isothermal process B PB C -V (liters) VA VBarrow_forwardThe relationship Cp – Cy = a?TV holds for any substance in the gaseous, liquid, or solid state. , is the coefficient of thermal expansion and B 1 (av = - . is the isothermal a = T compressibility (compressibility coefficient). Show that for an ideal gas the equation reduces to Ср — Су 3D R.arrow_forward
- A monatomic ideal gas with volume 0.150 L is rapidly compressed, so the process can be considered adiabatic. If the gas is initially at 1.01 105 Pa and 3.00 102 K and the final temperature is 481 K, find the work done by the gas on the environment, Wenv.Wenv =arrow_forwardP2.30 A 1.75 mol sample of an ideal gas for which Cv.m = 3R/2 undergoes the following two-step process: (1) From an initial state of the gas described by T = 15.0°C and P = 5.00 X 104 Pa, the gas undergoes an isothermal ex- pansion against a constant external pressure of 2.50 × 104 Pa until the volume has doubled. (2) Subsequently, the gas is cooled at constant volume. The temperature falls to -19.0°C. Calculate q, w, AU, and AH for each step and for the overall process.arrow_forwardCalculate the final pressure of a sample of water vapour that expands reversibly and adiabatically from 87.3 Torr and 500 cm3 to a final volume of 3.0 dm3. Take (gamma) γ = 1.3. ANs in t0rrarrow_forward
- Calculate the value of cp at 298 K and 1 atm pressure predicted for Cl, and NO, by the classical equipartition theorem. (Enter your answers to at least two decimal places.) Cp(Cl)) = J mol 1 K1 Cp(NO,) = J mol K1 The actual heat capacities of C and NO, are 33.91 and 36.97 J molK, respectively. Calculate the fraction (expressed as a percentage) of the measured value that arises from vibrational motions. vibrational contribution to cp(Cl,) = vibrational contribution to cp(NO,) =arrow_forwardA chemical reaction takes place in a container fitted with a piston of cross-sectional area 20cm2. As a result of the reaction, the gas undergoes a compression, the piston is displaced by 5cm (toward the bottom of the container), pushed by an external pressure of 105Pa. Calculate the work.arrow_forward9. Consider a sample of water vapour, which expands reversibly and adiabatically from 97.3 Torr and 400 cm3 to a final volume of 5.0 dm3. Take y = 1.3. Calculate the final pressure of the sample.arrow_forward
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistryChemistryISBN:9781259911156Author:Raymond Chang Dr., Jason Overby ProfessorPublisher:McGraw-Hill EducationPrinciples of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning
- Organic ChemistryChemistryISBN:9780078021558Author:Janice Gorzynski Smith Dr.Publisher:McGraw-Hill EducationChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningElementary Principles of Chemical Processes, Bind...ChemistryISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY