Sketch the graph of pV vs p when the temperature of the gas is constant. here p means pressure and V means volume - showing you the direct relationship b/w p and V (by using pV). how to sketch it???

1 Answer
Jun 28, 2016

We know that the Ideal gas equation is
PV = nRT
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.
=>PV="Constant"

As such the graph of PV against P should be a straight line parallel to the P axis.

We can test this by plotting PV vs P of experimental values as shown below.
![qph.ec.quoracdn.net](useruploads.socratic.org)

The computer gives the equation for the best fit line as

PV= -0.149P + 6192.8

This implies that the line starts at PV = 6183.86 at the left hand end and finishes at 6163.0 at the right hand end.

Using only two significant figures for the PV product, it starts and ends at 6200.

Therefore, within the limits of experimental error,

PV = "constant"Boyle's Law