Draw PV vs P graph for an ideal gas at constant temperature and number of moles
Answers
Answer:
We know that the Ideal gas equation is
P
V
=
n
R
T
where
P
is the pressure
V
is the volume
n
is the number of moles of amount of substance of gas
R
is the ideal, or universal, gas constant.
T
is the temperature of the gas
Since temperature is kept constant the RHS of the equation is a constant.
⇒
P
V
=
Constant
As such the graph of
P
V
against
P
should be a straight line parallel to the
P
axis.
We can test this by plotting
P
V
vs
P
of experimental values as shown below
The computer gives the equation for the best fit line as
P
V
=
−
0.149
P
+
6192.8
This implies that the line starts at
P
V
=
6183.86
at the left hand end and finishes at
6163.0
at the right hand end.
Using only two significant figures for the
P
V
product, it starts and ends at
6200
.
Therefore, within the limits of experimental error,
P
V
=
constant
→ Boyle's Law
