A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.02 atm and a volume of 12.2 L to a final volume of 29.2 L. (a) What is the final pressure of the gas? atm (b) What are the initial and final temperatures? initial K final K (c) Find Q for the gas during this process. kJ (d) Find AE for the gas during this process. int kJ (e) Find W for the gas during this process. kJ

A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.02 atm and a volume of 12.2 L to a final volume of 29.2 L. (a) What is the final pressure of the gas? atm (b) What are the initial and final temperatures? initial K final K (c) Find Q for the gas during this process. kJ (d) Find AE for the gas during this process. int kJ (e) Find W for the gas during this process. kJ

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 78P: Two moles of a monatomic ideal gas such as helium is compressed adiabatically and reversibly from a...

See similar textbooks

Similar questions

A car tile contains 0.0380 m3 of air at a pressure of 2.20105 Pa (about 32 psi). How much more internal energy does this gas have than the same volume has at zero gauge pressure (which is equivalent to normal atmospheric pressure)?
A cylinder containing three moles of a monatomic ideal gas is heated at a constant pressure of 2 atm. The temperature of the gas changes from 300 K to 350 K as a result of the expansion. Find work done (a) on the gas; and (b) by the gas.
A tank contains 111.0 g chlorine gas l2), which is at temperature 82.0 and absolute pressure 5.70105 Pa. The temperature of the air outside the tank is 20.0 . The molar mass of Cl2 is 70.9 g/mol. (a) What is the volume of the tank? (b) What is the internal energy of the gas? (c) What is the work done by the gas if the temperature and pressure inside the tank drop to 31.0 and 3.80105 Pa, respectively, due to a leak?
In an adiabatic process, oxygen gas in a container is compressed along a path that can be described by the following pressure in atm as a function of volume V, with V0=1L:P=(3.0atm)(V/V)1.2 . The initial and final volumes during the process were 2 L and 1.5 L, respectively. Find the amount of work done on the gas.
A dilute gas expands quasi-statically to three times its initial volume. Is the final gas pressure greater for an isothermal or an adiabatic expansion? Does your answer depend on whether the gas is monatomic, diatomic, or polyatomic?
The temperature of an ideal monatomic gas rises by 8.0 K. What is the change in the internal energy of 1 mol of the gas at constant volume?
Two moles of a monatomic ideal gas at (5 MPa, 5 L) is expanded isothermally until the volume is doubled (step 1). Then it is cooled isochorically until the pressure is 1 MPa (step 2). The temperature drops in this process. The gas is now compressed isothermally until its volume is back to 5 L, but its pressure is now 2 MPa (step 3). Finally, the gas is heated isochorically to return to the initial state (step 4). (a) Draw the four pi-cresses in the pV plane. (b) Find the total work done by the gas.
A mole of an ideal gas at pressure 4.00 atm and temperature 298 K expands isothermally to double its volume. What is the work done by the gas?
The product of the pressure and volume of a sample of hydrogen gas at 0.00 is 80.0 J. (a) How many moles of hydrogen are present? (b) What is the average translational kinetic energy of the hydrogen molecules? (c) What is the value of the product of pressure and volume at 200 ?
A gas at a pressure of 2.00 atm undergoes a quasi-static isobaric expansion from 3.00 to 5.00 L. How much work is done by the gas? `
Consider a cylinder with a movable piston containing n moles of an ideal gas. The entire apparatus is immersed in a constant temperature bath of temperature T kelvin. The piston is then pushed slowly so that pressure of the gas changes quasi-statically from p1 to p2 at constant temperature T. Find the work done by the gas in terms of n, R T, p1 , and p2 .
Two moles of a monatomic ideal gas such as oxygen is compressed adiabatically and reversibly from a state (3 atm, 5 L) to a state with a pressure of 4 atm. (a) Find the volume and temperature of the final state. (b) Find the temperature of the initial state. (c) Find work done by the gas in the process. (d) Find the change in internal energy in the process. Assume Cv=5R and Cp=Cv+R for the diatomic ideal gas in the conditions given.