Exponential, Logarithmic
<Example 2>
1000000
1000000
0.434
1000000
Air is held inside a cylinder of volume V
pressure P
(= 1,000,000 Pa) at 27°C with a piston.
1
Find the quantity of thermal energy Q needed to expand the air
at constant temperature to a pressure of P
Q = p
Operation
0.01
101000
1000000
101000
19
p
1
V
In p
1
1
2
p
V
p
1
1
log
1
p
0.434
2
0.01
(= 0.01 m
3
) at a
1
(= 101,000 Pa).
2
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