Problem Set XI Assign November 27, 2006 Due December 6, 2006.
Fall 2006 Physics 200a
R. Shankar
1. How much heat is needed to convert 1
kg
of ice at

10
0
C
to steam at 100
0
C
?.
Remember ice and water do not have the same speci±c heat.
2. If 400
g
of ice at

2
0
C
is placed in 1kg of water at 21
0
C
what is the end product
when equilibrium is reached?
3. To ±nd
c
X
, the speci±c heat of material
X
, I place 75
g
of it in a 30
g
copper calorimeter
that contains 65
g
of water, all initially at 20
0
C
. When I add 100
g
of water at 80
0
C
,
the ±nal temperature is 49
0
C
. What is
c
X
?
4. How many moles of ideal gas are there in a room of volume 50
m
3
at atmospheric
pressure and 300
K
?
5. A spherical air bubble of radius 2
cm
is released 30
m
below the surface of a pond at
280
K
. What is its volume when it reaches the surface which is at 300
K
assuming
it is in thermal equilibrium the whole time? Ignore the size of the bubble compared
to other dimensions like 30
m
.
6. What is the volume of one mole of an ideal gas at STP: Standard Temperature
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 Fall '08
 RAMAMURTISHANKAR
 Physics, Thermodynamics, Energy, Heat

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