Question

One mole of an ideal gas
*C**P**=**7R**2* in a closed
piston/cylinder arrangement is compressed from
*T**i**=200 K* , *P**i**=0.5
MPa* to *P**f**=5 MPa* by following
paths:.

- ADIABATIC path
- ISOTHERMAL path

Calculate ΔU, ΔH, Q and W_{EC} for both paths.

NOTE: Keep the answers in terms of ‘R’.

Answer #1

One mole of ideal gas initially at 300 K is expanded from an
initial pressure of 10 atm to a final pressure of 1 atm. Calculate
ΔU, q, w, ΔH, and the final temperature T2 for this expansion
carried out according to each of the following paths. The heat
capacity of an ideal gas is cV=3R/2.
1. A reversible adiabatic expansion.

An ideal gas is compressed isothermally in a closed and
frictionless piston/cylinder apparatus to 2.5 times its initial
pressure, consuming in the process 2.2 kJ mol−1 of work. Calculate
the temperature of the gas inside the cylinder.

Constant amount of ideal gas is kept inside a cylinder by a
piston. Then the gas expands isobarically. Compare the initial (i)
and the final (f) physical quantities of the gas to each other.
The internal energy Uf is ... Ui.
The temperature Tf is ... Ti.
The volume Vf is ... Vi.
The entropy Sf is ... Si.
The pressure pf is ... pi.

Constant amount of ideal gas is kept inside a cylinder by a
piston. Then the gas expands adiabatically. Compare the initial (i)
and the final (f) physical quantities of the gas to each other.
The pressure pf is ... pi.
The temperature Tf is ... Ti.
The internal energy Uf is ... Ui.
The entropy Sf is ... Si.
The volume Vf is ... Vi.

Constant amount of ideal gas is kept inside a cylinder by a
piston. Then the gas expands adiabatically. Compare the initial (i)
and the final (f) physical quantities of the gas to each other.
The pressure pf is ... pi.
The temperature Tf is ... Ti.
The internal energy Uf is ... Ui.
The entropy Sf is ... Si.
The volume Vf is ... Vi.

One mole of an ideal gas is compressed at a constant temperature
of 55 oC from 16.5 L to 12.8 L using a constant external
pressure of 1.6 atm. Calculate w, q, ΔH and ΔS for this
process.
w = (?) kJ
q = (?) kJ
ΔH = (?) kJ
ΔS = (?) J/(mol*K)

A cylinder contains an ideal gas at the temperature of 300 K and
is closed by a movable piston. The gas, which is initially at a
pressure of 3 atm occupying a volume of 30 L, expands isothermally
to a volume of 80 L. The gas is then compressed isobarically,
returning to its initial volume of 30 L. Calculate the work done by
gas: a) in isothermal expansion; b) in isobaric compression, c) in
the whole process; and d) Calculate...

One gram-mole of ideal gas is contained in a piston-cylinder
assembly. Cp=(7/2)R, Cv=(5/2)R. The gas expands from 3 to 1 atm.
Heat of 1000J is transferred to the gas during the process.
External pressure maintains at 1 atm throughout. Initial
temperature of the gas is 300K. Find work and internal energy
change.

In a cylinder/piston arrangement, air is compressed in a
reversible polytropic process to a final state of 800 kPa, 500 K.
Initially air is at 110 kPa and 25oC. During the
compression process heat transfer takes place with the ambient
maintained at 25oC. Assume air as an ideal gas (R =0.287
kJ/kg) and has constant specific heats of Cp = 1.004
kJ/kgK and Cv = 0.717 kJ/kgK. If the mass of air in the
cylinder is 0.1286 kg, determine
a)...

One cubic meter of argon is taken from 1 bar and 25°C to 10 bar
and 300°C by each of the following two-step paths. For each path,
compute Q, W, ΔU, and ΔH for each step and for the overall process.
Assume mechanical reversibility and treat argon as an ideal gas
with CP = (5/2)R and CV = (3/2)R.
(c) Adiabatic compression followed by isochoric heating or
cooling.
(d) Adiabatic compression followed by isothermal compression or
expansion.

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