Draw the P-T and V-T diagrams of an isochoric process of n moles of an ideal gas from pressure P_(0),volume V_(0)to pressure 4P_(0), indicating the pressures, and temperatures, of the gas, in the initial and the final states.

Draw the P-T and V-T diagrams of an isochoric process of n moles of an

1.	Draw the P-T and V-T diagrams of an isochoric process of n moles of an ideal gas from pressure P_(0),volume V_(0)to pressure 4P_(0), indicating the pressures, and temperatures, of the gas, in the initial and the final states.
Answer» Solution :From the equation of state for an ideal GAS `PV=NRT` (a) `P=(nRT)/(V)` i.e., `P prop T ( :. V="constant")` AT `P=P_(0) and V=V_(0), T=(P_(0)V_(0))/(nR) and` at `P=4P_(0), V=V_(0), T = (4P_(0)V_(0))/(nR)` The graph is a straight line (passing through the origin, when produced) shown in figure. (B) Since, temperature increases from `(P_(0)V_(0))/(nR)` to `(4P_(0)V_(0))/(nR)`, volume remaining constant, so, the graph of`V-T` will be as shown in figure.