Model air as a diatomic ideal gas
with *M *= 28.9 g/mol. A cylinder
with a piston contains 1.20 kg of air at 25.0°C and 200 kPa. Energy is
transferred by heat into the system as it is allowed to expand, with the
pressure rising to 400 kPa. Throughout
the expansion, the relationship between pressure and volume is given by
where *C* is a constant.

a.
Find
the initial volume.

b.
Find
the final volume.

c.
Find
the final temperature.

d.
Find
the work done on the air.

e.
Find
the energy transferred by heat.