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| PAGE: 138 | SET: Exercises | PROBLEM: 65 |
Boyles law:
Boyles Law states that the product of the pressure and volume for a gas is a constant for a fixed amount of gas at a fixed temperature.
Mathematically, Boyles law can be defined as
or 
.
(a)
Pressure of sample of air at 
C is 
k Pa.
Volume of the gas 
.
Boyles law: .
Substitute corresponding values in the above formula.
.
Volume 
as a function of 
:
Consider .
Substitute 
in above formula.
(b)
Consider 
.
Differentiate with respect to on each side.
Find the 
value at .
.
represents rate of change of volume with respect to pressure at C.
Units of are 
.
(a) .
(b) 
.
represents rate of change of volume with respect to pressure at C and
Units of are .
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