Question

A given mass of an ideal gas is heated in a vessel. The same amount of gas is then heated by keeping it in a larger vessel. Assume that the volumes of both vessel remain the same during heating. What will be the nature of the pressure temperature (p-T) graphs in the two cases.

Answer 1

Answer:

Explanation:

when the volume is less, the pressure increases with temperature at a higher rate.

So the slop of the p-T graph for the smaller container is greater than for the bigger container.

Alternative method:

For a fixed mass of an ideal gas,

pV=kTor,p=kVT.

IF V is fixed,this relation resembles y=mx.

So the p-T graph is a straight line passing through the origin.

Also the slope kv is higher for a smaller V. So the graph of the smaller vessel has a higher slope.