Question

2). V1=1000l P1=2bar t1=15C How does the pressure and density change when the air is slowly compressed to 1/5 th of the original volume? Isothermal process.

3). V1 = 1000L P1= 1bar t1= 15C is quickly compressed to 1/5th of original volume, assuming the process is isenthropic. after the initial compression air is cooled back to the original 15C, how does the pressure and density change? Isochoric process.

Answer #1

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.

In the initial state, an ideal gas has pressure p1, volume V1
and temperature T1. Now the gas changes its state by effecting a
state change so that it reaches the pressure p2, the volume V2 and
the temperature T2 in the new state. The pressure doubles during
this state change, which is an isochore process.
a) Find the work W performed during the isochore process.
b) The heat Q is exchanged between the gas and the surroundings
during the...

8) Some fish have swim bladders to control buoyancy. Assume Nemo
compresses his swim bladder from an initial state (T1, P1, V1, n)
to a final state (T2, P2, V2, n) assuming air is an ideal gas.
[a) eqn., b) 16.6J, c) 207°C, 40J, 23.9J]
a) What is the minimum amount of work the Nemo must do to
compress his swim bladder? Derive the appropriate equation.
b) If the bladder contains 0.01 moles of air and it is
compressed to...

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