Question

initially air is at 250C and 300 kpa it is compressed isothermally such that its new volume 1/8th of the original volume. Determine the final pressure and work done on air

Answer #1

0.5 kilograms of air are compressed from 100 kPa and 300 K in a
polytropic process, n = 1.3, to a state where V2 = 0.5
V1. The air is further compressed at constant pressure
until the final volume is 0.2 V1 . Draw a sketch of the
processes on a p-V diagram. Determine the work for each
process.

An ideal gas with γ=1.4 occupies 5.0 L at 300 K and 120 kPa
pressure and is heated at constant volume until its pressure has
doubled. It's then compressed adiabatically until its volume is
one-fourth its original value, then cooled at constant volume to
300 K , and finally allowed to expand isothermally to its original
state.
Find the net work done on the gas. W= ___J

1-kg water in a frictionless piston-cylinder device is initially
at 250°C and 300 kPa (state
1). A total of 700 kJ of work is done ON the water
in order to isothermally reduce its volume to
1/20 of its initial volume (state 2). Determine the magnitude and
direction of the heat transfer
involved in this process.
Answer: -1147 kJ.

One mole of air is compressed from pressure P1 and temperature
T1 at
constant volume till its pressure is doubled. Then it is
expanded
reversibly and isothermally to the original pressure, and finally
restored
to the original temperature by cooling at constant pressure. Sketch
the
path followed by the gas, on a P-V diagram and calculate the net
work
done by the gas.

An isentropic compressor that takes in air from the atmosphere
at 100 kPa and 300 K compresses it to 1 MPa. The compressor feeds
into a rigid tank that is initially filled with 5 kg of air at a
pressure of 500 kPa and a temperature of 500 K. Once the mass in
the tank reaches 8 kg, the compressor will stop to prevent the tank
from rupturing, which will occur if the pressure exceeds 1000
kPa.
a) Determine the...

An ideal gas with ?=1.4 occupies 3.0L at 300 Kand
100kPa pressure and is compressed adiabatically until its volume is
2.0 L. It's then cooled at constant pressure until it reaches 300
K, then allowed to expand isothermally back to stateA.
Find the net work done on the gas and Vmin?

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)...

A piston cylinder device contains 0.15 kg of air initially at 2
MPa and 350 C. First, the air expands isothermally to a pressure of
500 kPa. Then, it is compressed polytropically back to the initial
pressure (2 MPa) with a polytropic exponent of 1.2. Find the work
performed or introduced by or to the air for each process. Express
it both times in kJ.

12 moles of a gas is compressed isothermally and reversibly from
400 K , 1 bar to 1/2th of its original volume. Initial
volume of the gas was measured at 120 cm^3. Using the truncated
virial EOS, calculate the required work for the compression.

Show that the work done by an ideal gas during an isothermal
change of state (from initial state 1 to final state 2), in a
closed container is given by; 1W2=m.R.T(ln(v2/v1))
A piston-cylinder device contains 0.2 kg of air, initially at
27oC and 100 kPa. The air is then slowly compressed in an
isothermal process to a final pressure of 400 kPa.
Determine: (a) The work done during this process, and
(b) The heat transferred.

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