Chemistry 520
Winter Quarter 2008
Take Home Quiz 3
This quiz is due no later than 4 pm on Friday, Feb. 18, 2008 in room 0048 McPherson lab.
Write down ﬁrst the mathematical equation with symbols and leave the numerical substitution at the end.
Submit your answers on single sided paper.
1. Calculate the probability of a spontaneous compression of 1.00 mole of gas by 0.01% – that is, the probability
that all the molecules will be found in a volume
V
0
= 0
.
9999
V
at a certain time.
2. Show that the net work in one Carnot cycle is
w
net
=

nR
(
T
h

T
c
)ln
V
2
V
1
3. Suppose a heat engine absorbs 10.0 kJ of heat from a hightemperature source at
T
h
= 450K and discards heat
to a lowtemperature reservoir at
T
c
= 350K. Calculate the thermodynamic eﬃciency
±
of conversion of heat
to work; the amount of work performed,

w
net
; and the amount of heat discharged at
T
c
,
q
34
.
4. Calculate the entropy change when 3.00 moles of benzene vaporizes reversibly at its normal boiling point of
80
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This note was uploaded on 07/17/2008 for the course CHEM 520 taught by Professor Grandinetti during the Spring '08 term at Ohio State.
 Spring '08
 GRANDINETTI
 Physical chemistry, pH

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