How do I draw a sketch graph of pV vs T for an ideal gas?


Also,
What does the gradient of the graph of pV vs T represent ?

You know the ideal gas equation?

PV = nRT

Here, pV is your X, T is your Y.

X = nRY

Y = \frac{1}{nR}X

Now, is the number of moles of gas constant? If so, then you are left with:

Y = kX

which is the equation of a straight line passing through the origin.

Can you deduce the answer to the next part now?