All parts of this question pertain to a monatomic ideal gas, initially at T=300K and atmospheric...
All parts of this question pertain to a monatomic ideal gas,
initially at T=300K and atmospheric pressure (1.01× 105 Pa). There
is 1.0 mole of this gas is inside a cylinder with a sliding piston
and interior diameter of 20cm. The piston can slide with negligible
friction and without allowing any gas to enter or escape. For ideal
gas calculations use R= 8.314 J/mol·K.
a) What is the initial height of the piston?
b) Now imagine that burner is placed under the gas cylinder and
delivers heat to the gas. While heat is being delivered the piston
slides upward, maintaining the gas at constant pressure. After heat
delivery the piston is observed to rise 20.0cm higher than its
initial height. Calculate the work done by the gas during this
isobaric expansion.
c) Use the ideal gas law to calculate the final tem3perature of the
gas after the expansion in part b, then calculate the change in
internal energy of the gas as a result of this
process. (Hint: for a monatomic ideal gas ∆?? = 2 ????∆??)
d) Now, use the first law of thermodynamics to calculate the amount
of heat, Q, which
must have been added in part b.
e) Sketch an approximate PV diagram for the isobaric expansion
described in part b
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