One mole of an ideal monatomic gas initially at 300 K and a
pressure of 15.0 atm expands to a final pressure of 1.00 atm. The
expansion can occur via any one of four different paths: a.
isothermal and reversible, b. isothermal and irreversible, c.
adiabatic and reversible, and d. adiabatic and irreversible. In
irreversible processes, the expansion occurs against an external
pressure of 1.00 atm. For each case, calculate the values of q, w,
DU, and DH. I need...
The ideal gas law can be stated as P V = nRT where P = pressure
in Pascals (Pa) V = volume in cubic meters (m3 ) n = number of
moles in moles (mol) R = gas constant = 8.3145m3 Pa / ( K · mol ) T
= temperature in Kelvin (K). Using MATLAB or Octave, Write a script
that prompts the user for the pressure, the volume, and the
temperature; storing each in a variable. The script...
One mole of an ideal gas in an initial state P = 10atm, V = 5L,
is taken reversibly in aclockwise direction around a circular path
given by (V − 10)^2 + (P − 10)^2 = 25. Computethe amount of work
done by the gas and the change in internal energy.
One mole of a monoatomic, ideal gas at initial pressure
P0 and volume V0 goes to
2P0 a) along the path PV = constant,
and b) at constant volume. Find the heat added to the gas in each
case.
Consider a process in which one mole of
a monatomic ideal gas is compressed from
a volume of V1 =1.459m3 to V2 =1m3 at a
constant temperature of T =353.7 K.
(a) What is the entropy change of the gas (in
J/K units)?
(b) What is the change in the value of PV for
the gas (in J units)?
(c) What is the energy change of the gas (in J
units)?
(d) What is the enthalpy change of the gas...
An ideal gas undergoes an isothermal expansion from one state
to another. In this process determine the following
(using the sign conventions on page 413):
Q = 0, Q > 0 or Q < 0
W = 0, W > 0 or W < 0
ΔU = 0, ΔU > 0 or ΔU < 0
An ideal gas undergoes an isothermal process. Which
of the following are true (may be more than one): a) No
heat is added or removed from the gas,...
25 pts) One mole of ideal, monatomic gas, initially at T = 250 K
and pressure 5.0 atm is: a) reversibly heated at constant pressure
until its volume doubles b) reversibly heated at constant volume
until its pressure doubles Determine w, q ,ΔU, ΔΗ , and ΔS for
these two cases (20 pts). Can you calculate A and G for these two
cases? Explain why. (5 pts)
Calculate q, w, ∆U and ∆H for 1.00 mole of a monatomic ideal gas
which undergoes a change of state along two different paths. (Note
that the initial and final states are the same for both paths.)
Report all energies in joules.
Path I: Reversible isothermal compression at T= 298 K from 1.00
bar to 2.00 bar.
Path II: (2 steps)
1. Isobaric (constant
pressure) cooling of the gas at 1.00 bar until the volume of the
gas is equal...
(a)Air, which can be assumed to behave as an ideal gas,
undergoes a process from 150kPa and 400K to 600kPa and 500K within
a piston cylinder. Can this process occur adiabatically? (Think
about what the limitations on ???? are to answer this question).
(b)Now consider air which is compressed in an air compressor
adiabatically from 150kPa and 400K to 1000K and 600kPa. It enters
the air compressor with a mass flow rate of 1kg/s. Determine the
rate of entropy produced...
One mole of ideal gas, initially at 50OC and 1 bar,
is changed to 150oC and 4bar by 2 different mechanically
reversible processes as follows:
process 1: the gas is first heated at constant pressure until
its temperature is 150oC and then it is compressed
isothermally to 4 bar
process 2:the gas is first compressed adiabatically to 4bar and
then it is cooled at constant pressure to 150OC
i)Assume Cv =2.5R and Cp=3.5R, estimate
the heat(J) and work(J) for both...