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 stage.

Explanation

Fom 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 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 increase 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.